Srinivas – Page 84 – AP Board Solutions

AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers

September 2, 2021

Practice the AP 8th Class Maths Bits with Answers Chapter 4 Exponents and Powers on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 8th Class Maths Bits 4th Lesson Exponents and Powers with Answers

Choose the correct answer.

Question 1.
a^m × b^m =
A) ([latex]\frac{a}{b}[/latex])^m
B) (ab)^m
C) ([latex]\frac{b}{a}[/latex])^m
D) (ab)^2m
Answer:
B) (ab)^m

Question 2.
(- 5)^-3 × (- 5)^-4 =
A) (-5)^-7
B) (-5)⁷
C) [latex]\frac{1}{(5)^{7}}[/latex]
D) [latex]\frac{1}{(-5)^{-7}}[/latex]
Answer:
A) (-5)^-7

Question 3.
If 2^{7x – 7} = 1 then x =
A) 1
B) 2
C) 0
D) 3
Answer:
A) 1

Question 4.
The value of ([latex]\frac{2}{5}[/latex])^-3 × ([latex]\frac{25}{4}[/latex])^-2=
A) [latex]\frac{-5}{2}[/latex]
B) [latex]\frac{-2}{5}[/latex]
C) [latex]\frac{5}{2}[/latex]
D) [latex]\frac{2}{5}[/latex]
Answer:
D) [latex]\frac{2}{5}[/latex]

Question 5.
Which of the following is not true ?
A) (x^-3)² = x^-6
B) x^-2 = √x
C) [latex]\frac{x^{-3}}{x^{-2}}=\frac{1}{x}[/latex]
D) x^-3 × x^-5 = x^-8
Answer:
B) x^-2 = √x

Question 6.
The standard form of 43800000
A) 438 × 10⁸
B) [latex]\frac{438}{10^{5}}[/latex]
C) 438 × 10⁵
D) 43.8 × 10^-8
Answer:
C) 438 × 10⁵

Question 7.
The general form of 4.67 × 10⁴ is
A) 47670
B) 4767000
C) 476700
D) 46700
Answer:
D) 46700

Question 8.
The standard form of 0.000437 × 10⁴ is ……………………
A) 437 × 10⁵
B) 4.37 × 10
C) 473 × 10^-2
D) 437 × 10^-2
Answer:
D) 437 × 10^-2

Question 9.
[latex]\frac{\mathbf{a}^{m}}{\mathbf{a}^{m}}[/latex] = ………………..
A) m
B) -1
C) 1
D) a
Answer:
C) 1

Question 10.
([latex]\frac{\mathbf{a}}{\mathbf{b}}[/latex])^m = ………………….
A) [latex]\frac{a^{m}}{b^{m}}[/latex]
B) [latex]\frac{a^{m}}{b}[/latex]
C) [latex]\frac{a}{b^{m}}[/latex]
D) ab^m
Answer:
A) [latex]\frac{a^{m}}{b^{m}}[/latex]

Question 11.
a^-n = ………………
A) -aⁿ
B) [latex]\frac{1}{a^{n}}[/latex]
C) -a
D) -n^a
Answer:
B) [latex]\frac{1}{a^{n}}[/latex]

Question 12.
a^m × a^-m = ……………..
A) m
B) 3
C) -1
D) 1
Answer:
D) 1

Question 13.
(2° – 3°) × 4° = ……………….
A) 1
B) 0
C) – 1
D) 1
Answer:
B) 0

Question 14.
The general form of 1.275 × 10³……………………..
A) 1275 × 10¹⁰⁰
B) 1257 × 10⁵
C) 1275 × 10
D) 1275
Answer:
D) 1275

Question 15.
8^{x + 1} = 1 then x = ………………….
A) 1
B) – 1
C) – 2
D) 3
Answer:
B) – 1

Question 16.
100° = ……………..
A) 3
B) -1
C) 100
D) 1
Answer:
D) 1

Question 17.
2^-4 = [latex]\frac{1}{2^{n}}[/latex] then n = ……………..
A) 3
B) -3
C) 4
D) – 4
Answer:
C) 4

Question 18.
[latex]\frac{\mathbf{a}^{\mathbf{m}}}{\mathbf{a}^{\mathbf{n}}}[/latex] (m < n) = ………………
A) [latex]\frac{1}{a^{n-m}}[/latex]
B) a^{n – m}
C) a^m
D) [latex]\frac{1}{a^{m-n}}[/latex]
Answer:
A) [latex]\frac{1}{a^{n-m}}[/latex]

Question 19.
a × a × a × ………………… 2016 times ………………
A) 2016 a
B) a²⁰¹⁶
C) 2016^a
D) 2106^{a × a}
Answer:
B) a²⁰¹⁶

Question 20.
2^-1 + 1^-1 = ……………..
A) [latex]\frac {1}{2}[/latex]
B) 1
C) [latex]\frac{3}{4}[/latex]
D) [latex]\frac{3}{2}[/latex]
Answer:
D) [latex]\frac{3}{2}[/latex]

Question 21.
(100° + 2^-1 + 1^-2) ÷ 2^-1 = ………………..
A) 4
B) 3
C) -5
D) 5
Answer:
D) 5

Question 22.
3⁵ ÷ 3^-6 = ………………….
A) 3¹¹
B) 3⁷
C) 3⁸
D) 3¹⁰
Answer:
A) 3¹¹

Question 23.
[latex]\left[\left(\frac{2}{5}\right)^{-1}\right]^{-1}[/latex] = ……………….
A) [latex]\frac{5}{2}[/latex]
B) [latex]\frac{1}{5}[/latex]
C) [latex]\frac{2}{5}[/latex]
D) [latex]\frac{5}{1}[/latex]
Answer:
C) [latex]\frac{2}{5}[/latex]

Question 24.
(-2)² = ……………….
A) 4
B) -4
C) 3
D) 2
Answer:
A) 4

Question 25.
a + a + a + …………. n times = ……………..
A) na
B) aⁿ
C) [latex]\frac{\text { na }}{2}[/latex]
D) a
Answer:
A) na

Question 26.
Reciprocal of ([latex]\frac{-5}{9}[/latex])⁹⁹ is ……………..
A) [latex]\frac{5}{9}[/latex]
B) [latex]\frac{9}{5}[/latex]
C) 9⁹⁹
D) None
Answer:
D) None

Question 27.
Which of the following is correct ?
A) a^m × a^-n = a^{m – n}
B) a^m b^m = a(b)^m
C) a⁰ = 1, a = 0 …………….
D) (ab)^-1 = a^-1
Answer:
A) a^m × a^-n = a^{m – n}

Question 28.
(xy)^-2.(xy)² = ……………….
A) x
B) y²
C) xy
D) 1
Answer:
D) 1

Question 29.
Cube of [latex]\frac {-1}{2}[/latex] = ……………..
A) [latex]\frac {1}{8}[/latex]
B) [latex]\frac {-1}{8}[/latex]
C) 8
D) -2
Answer:
B) [latex]\frac {-1}{8}[/latex]

Question 30.
(2^-2)^-3 = …………………
A) 31
B) 60
C) 32
D) 64
Answer:
D) 64

Question 31.
a³ × a^-10 = …………….. ,
A) a¹⁰
B) a⁶
C) a⁷
D) a^-7
Answer:
D) a^-7

Question 32.
7^{x + 3} = 5^{x + 3} then x = ……………….
A) – 1
B) – 3
C) – 4
D) 5
Answer:
B) – 3

Question 33.
([latex]\frac {4}{3}[/latex])^-2 = ………………
A) [latex]\frac{9}{16}[/latex]
B) [latex]\frac{14}{3}[/latex]
C) [latex]\frac{16}{9}[/latex]
D) [latex]\frac{9}{17}[/latex]
Answer:
A) [latex]\frac{9}{16}[/latex]

Question 34.
(-9)³ ÷ 9³ = ……………..
A) – 1
B) 1
C) 3
D) 2
Answer:
A) – 1

Question 35.
x⁷ ÷ x¹² = ……………….
A) x⁵
B) x^-5
C) x⁶
D) x⁷
Answer:
B) x^-5

Question 36.
([latex]\frac{1}{2016}[/latex])⁰ = ………………..
A) 0
B) – 1
C) 6
D) 1
Answer:
D) 1

Question 37.
The general form of 2.03 × 10⁵ is ………………..
A) 0.00234
B) 0.00423
C) 0.00230
D) 0.0000203
Answer:
D) 0.0000203

Question 38.
The standard form of 23,40,00,000 is ……………………
A) 2.34 × 10⁸
B) 3.24 × 10⁶
C) 3.34 × 10⁶
D) 8.15 × 10⁹
Answer:
A) 2.34 × 10⁸

Question 39.
(7^-1 – 18^-1)⁰ = …………………
A) – 1
B) 0
C) 1
D) 7
Answer:
C) 1

Question 40.
If we divide 8⁵ by ………………. we get 8
A) 8¹⁰
B) 8⁶
C) 8⁵
D) 8⁴
Answer:
D) 8⁴

Question 41.
10^-3 = ………………..
A) [latex]\frac{1}{200}[/latex]
B) [latex]\frac{1}{100}[/latex]
C) [latex]\frac{1}{10}[/latex]
D) [latex]\frac{1}{1000}[/latex]
Answer:
D) [latex]\frac{1}{1000}[/latex]

Question 42.
([latex]\frac {1}{2}[/latex])^-2 ÷ ([latex]\frac {1}{2}[/latex])^-2
A) ([latex]\frac {1}{2}[/latex])³
B) -1
C) 1
D) – 2
Answer:
C) 1

Question 43.
(2⁵ ÷ 2⁶) × 2 = ………………….
A) 1
B) – 2
C) 3
D) – 1
Answer:
A) 1

Question 44.
5^{3x – 1} ÷ 25 = 125 then x = ………………
A) – 2
B) 2
C) 4
D) 3
Answer:
B) 2

Question 45.
[latex]\frac{6^{-2}}{6^{n}}[/latex] = 6^-3 then n = ………………
A) 2
B) 1
C) -1
D) 3
Answer:
B) 1

Question 46.
[latex]\frac{\mathbf{5}^{\mathrm{m}} \times \mathbf{5}^{3} \times \mathbf{5}^{-\mathbf{2}}}{\mathbf{5}^{-\mathbf{5}}}[/latex] = 5¹² then m = …………………
A) 1
B) 4
C) 3
D) None
Answer:
D) None

Question 47.
2¹⁰ = …………………
A) 1042
B) 512
C) 1024
D) 1204
Answer:
C) 1024

Question 48.
Which of the following is correct ?
A) [latex]\frac {1}{4}[/latex](2ⁿ) = 2^{n – 2}
B) 4^{n – 1} = 4ⁿ
C) 4^m × 4^-m = 4^-2m
D) 25 (5ⁿ) = 5^{n – 1}
Answer:
A) [latex]\frac {1}{4}[/latex](2ⁿ) = 2^{n – 2}

Question 49.
3x ^-1 = ………………
A) [latex]\frac{3}{x}[/latex]
B) [latex]\frac{1}{3 x}[/latex]
C) [latex]\frac{3^{-1}}{\mathrm{x}^{2}}[/latex]
D) [latex]\frac{x}{3}[/latex]
Answer:
A) [latex]\frac{3}{x}[/latex]

Question 50.
The standard form of 24.36 × 10^-3 is ……………..
A) 0.4236
B) 0.243
C) 24.36
D) 0.02436
Answer:
D) 0.02436

Question 51.
(4° + 5^-1) × 5² × [latex]\frac{1}{3}[/latex] = ………………
A) -10
B) 10
C) [latex]\frac{1}{10}[/latex]
D) – 3
Answer:
B) 10

Question 52.
1 + 2^-1 + 3^-1 + 4⁰ = …………………..
A) [latex]\frac{1}{6}[/latex]
B) [latex]\frac{6}{7}[/latex]
C) [latex]\frac{7}{6}[/latex]
D) [latex]\frac{17}{6}[/latex]
Answer:
D) [latex]\frac{17}{6}[/latex]

Question 53.
3⁰ – 3^-1 = ………………..
A) [latex]\frac{2}{3}[/latex]
B) [latex]\frac{3}{2}[/latex]
C) [latex]\frac{1}{2}[/latex]
D) 1
Answer:
A) [latex]\frac{2}{3}[/latex]

Question 54.
m = 3, n = 1 then mⁿ – n^m = ………………..
A) 4
B) 1
C) – 2
D) 2
Answer:
D) 2

Question 55.
7^{2n + 1} ÷ 49 – 7³ then n = ………………
A) – 2
B) 2
C) 3
D) -3
Answer:
B) 2

Question 56.
(5 × 10²) + (4 × 10) + (3 × 10⁰) + (6 × 10^-1) + (7 × 10^-2)
A) 345.6
B) 453.67
C) 841.7
D) 543.67
Answer:
D) 543.67

Question 57.
3⁴ x 4³ = …………………….
A) 1584
B) 5184
C) 8122
D) 1811
Answer:
B) 5184

Question 58.
[latex]\sqrt[5]{\mathbf{3 2}}[/latex] = …………………
A) 2³
B) 18
C) 12
D) 2
Answer:
D) 2

Question 59.
[latex]\frac{2401}{625}[/latex] = ………………..
A) ([latex]\frac{5}{7}[/latex])⁴
B) ([latex]\frac{7}{5}[/latex])⁴
C) ([latex]\frac{5}{3}[/latex])⁴
D) ([latex]\frac{7}{4}[/latex])⁴
Answer:
B) ([latex]\frac{7}{5}[/latex])⁴

Question 60.
[latex]\left(\left(\frac{1}{4}\right)^{2}\right)^{3}[/latex] = ………………….
A) [latex]\frac{1}{3092}[/latex]
B) [latex]\frac{1}{6096}[/latex]
C) [latex]\frac{1}{3096}[/latex]
D) [latex]\frac{1}{4096}[/latex]
Answer:
D) [latex]\frac{1}{4096}[/latex]

Question 61.
([latex]\frac{4}{5}[/latex])³ × ([latex]\frac{4}{5}[/latex])^-6 = ([latex]\frac{4}{5}[/latex])^{2x – 1} x = ………………
A) – 1
B) 2
C) 1
D) 4
Answer:
A) – 1

Question 62.
The standard form of [latex]\frac{622}{100,00,00,000}[/latex] is …………………
A) 622 × 10⁷
B) 6.22 × 10^-7
C) 266 × 10^-7
D) 6.22 × 10^-6
Answer:
B) 6.22 × 10^-7

Question 63.
3° + 4° + 5° – 3° = ………………..
A) 4
B) 3
C) 1
D) 2
Answer:
D) 2

Question 64.
-4^-1 + 8^-1 ÷ ([latex]\frac {2}{3}[/latex])^-1 = …………………
A) – 1
B) [latex]\frac {-1}{6}[/latex]
C) 6
D) [latex]\frac {1}{2}[/latex]
Answer:
B) [latex]\frac {-1}{6}[/latex]

Question 65.
([latex]\frac {-1}{5}[/latex])^-1 = …………………
A) 3
B) – 1
C) 5
D) – 5
Answer:
D) – 5

Question 66.
([latex]\frac {2}{3}[/latex])^-3 = ……………….
A) [latex]\frac{27}{8}[/latex]
B) [latex]\frac{7}{8}[/latex]
C) [latex]\frac{1}{7}[/latex]
D) [latex]\frac{1}{6}[/latex]
Answer:
A) [latex]\frac{27}{8}[/latex]

Question 67.
64^-0.5 = ………………
A) -4
B) – 8
C) 8
D) [latex]\frac {1}{8}[/latex]
Answer:
D) [latex]\frac {1}{8}[/latex]

Question 68.
1 + (9 – 10)^-5= ………………………
A) 0
B) -1
C) 3
D) 2
Answer:
A) 0

Question 69.
x = 3 ⁴⁰⁰, y = 4 ³⁰⁰ then ………………
A) x < y
B) x – y
C) x² = y
D) x > y
Answer:
D) x > y

Question 70.
64^2/3 = ……………….
A) 12
B) 16
C) 10
D) -4
Answer:
B) 16

Question 71.
[latex]\sqrt[4]{81}[/latex] = …………………
A) 3
B) 4
C) 5
D) [latex]\frac{1}{3}[/latex]
Answer:
A) 3

Question 72.
[(3²)³]⁴ = ……………….
A) 3¹²
B) 3¹⁸
C) 3²⁰
D) 3²⁴
Answer:
D) 3²⁴

Question 73.
2⁴ × (32)^-1 = ……………….
A) [latex]\frac {-1}{2}[/latex]
B) [latex]\frac {1}{2}[/latex]
C) – 2
D) [latex]\frac {1}{7}[/latex]
Answer:
B) [latex]\frac {1}{2}[/latex]

Question 74.
Base in 2x^-3 is ……………………
A) 2
B) x
C) -3
D) 2x
Answer:
B) x

Question 75.
(125)^-2/3 = ……………..
A) 25
B) [latex]\frac{1}{-10}[/latex]
C) [latex]\frac{1}{25}[/latex]
D) [latex]\frac{1}{2}[/latex]
Answer:
C) [latex]\frac{1}{25}[/latex]

Question 76.
[latex]\left(\frac{25}{49}\right)^{\frac{1}{2}}[/latex] = …………………..
A) [latex]\frac{5}{7}[/latex]
B) [latex]\frac{1}{7}[/latex]
C) [latex]\frac{1}{3}[/latex]
D) -3
Answer:
A) [latex]\frac{5}{7}[/latex]

Question 77.
[latex]\frac{2^{a+3} \times 3^{2 a+b} \times 6^{b+1}}{3^{a+b} \times 6^{a+b}}[/latex] = …………………….
A) 28
B) 38
C) 48
D) [latex]\frac{41}{8 b}[/latex]
Answer:
C) 48

Question 78.
(a^-1 + b^-1) ab = …………………
A) ab
B) a-b
C) [latex]\frac{1}{a+b}[/latex]
D) a + b
Answer:
D) a + b

Question 79.
(a°)° = ………………..
A) a
B) 1
C) – 1
D) None
Answer:
B) 1

Question 80.
AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers 1 = …………………
A) 0
B) 1
C) – 1
D) – 3
Answer:
B) 1

Question 81.
AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers 2 = ………………..
A) y
B) [latex]\frac{1}{y}[/latex]
C) -y
D) 1
Answer:
A) y

Question 82.
9^x + 9^{x – 1} = 90 then x = ………………..
A) 2
B) -2
C) 3
D) 4
Answer:
A) 2

Question 83.
10^-3x = 8 then 10^x = …………………..
A) [latex]\frac {1}{4}[/latex]
B) – 2
C) 2
D) [latex]\frac {1}{2}[/latex]
Answer:
D) [latex]\frac {1}{2}[/latex]

Question 84.
x = √2 then (x^x)^x = ………………….
A) [latex]\frac{1}{\sqrt{2}}[/latex]
B) [latex]\frac{1}{4 \sqrt{2}}[/latex]
C) [latex]\frac{1}{3 \sqrt{2}}[/latex]
D) [latex]\frac{1}{5 \sqrt{2}}[/latex]
Answer:
B) [latex]\frac{1}{4 \sqrt{2}}[/latex]

Question 85.
[latex]\frac{2^{n+2}-2^{n+1}}{4 \times 2^{n-1}}[/latex] = ………………..
A) 3
B) – 1
C) 7
D) 1
Answer:
D) 1

Question 86.
5^{7 – x} = 5° then x = ……………….
A) 13
B) 7
C) 3
D) 4
Answer:
B) 7

Question 87.
If 9^x – 9^{x – 1} = 72 then the value of 3x = ………………
A) 6
B) – 3
C) – 6
D) 4
Answer:
A) 6

Question 88.
[latex]\frac {1}{81}[/latex] th value of 729 is …………………
A) 9²
B) – 9
C) 10
D) 9
Answer:
D) 9

Question 89.
If we multiply 3^-4 with ……………. product as 729.
A) 3¹⁰
B) 3⁷
C) 3⁹
D) 3⁶
Answer:
A) 3¹⁰

Question 90.
2ⁿ = 2 then 2ⁿ⁺³ = ………………..
A) 23
B) 19
C) 10
D) 16
Answer:
D) 16

Question 91.
16^1.25 = ……………….
A) 30
B) 19
C) 32
D) 16
Answer:
C) 32

Question 92.
a^x(y-z)× a^y(z-x) × a^z(x-y) = …………………
A) 3
B) 1
C) – 1
D) 0
Answer:
B) 1

Question 93.
a = 1, b = 2 then a^b + b^a =
A) 4
B) 3
C) 2
D) 13
Answer:
B) 3

Question 94.
2 ^x+3 = 4 ^x+1 then x = ………………
A) 4
B) 3
C) 2
D) 1
Answer:
D) 1

Question 95.
([latex]\frac{-2}{3}[/latex])^-4 × ([latex]\frac{-3}{5}[/latex])² =
A) [latex]\frac{250}{9}[/latex]
B) [latex]\frac{9}{250}[/latex]
C) [latex]\frac{350}{9}[/latex]
D) [latex]\frac{1}{90}[/latex]
Answer:
A) [latex]\frac{250}{9}[/latex]

Question 96.
([latex]\frac {1}{2}[/latex])^-2 + ([latex]\frac {1}{3}[/latex])^-2 + ([latex]\frac {1}{4}[/latex])^-2 = ………………..
A) 16
B) 19
C) 29
D) 32
Answer:
C) 29

Question 97.
(6^-1 – 8^-1)^-1 + (2^-1 – 3^-1)^-1 = …………………
A) 60
B) 15
C) 20
D) 6
Answer:
B) 15

Question 98.
[latex]\frac{-1}{6} \times \frac{-1}{6} \times \frac{-1}{6}[/latex] = ………………
A) [latex]\frac{-1}{206}[/latex]
B) [latex]\frac{-1}{16}[/latex]
C) [latex]\frac{1}{21}[/latex]
D) [latex]\frac{-1}{216}[/latex]
Answer:
D) [latex]\frac{-1}{216}[/latex]

Question 99.
[latex]\sqrt[4]{81}-8 \times \sqrt[3]{216}+15 \sqrt[5]{32}+\sqrt{225}[/latex] = ……………………
A) 3
B) 2
C) 0
D) 1
Answer:
C) 0

Question 100.
(1254)^1/2 = ……………….
A) 114
B) 132
C) 112
D) 122
Answer:
C) 112

AP 8th Class Maths Bits Chapter 3 Construction of Quadrilaterals with Answers

September 2, 2021

Practice the AP 8th Class Maths Bits with Answers Chapter 3 Construction of Quadrilaterals on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 8th Class Maths Bits 3rd Lesson Construction of Quadrilaterals with Answers

Choose the correct answer.

Question 1.
Number of vertices in a Quadrilateral is …………………..
A) 2
B) 3
C) 4
D) 5
Answer:
C) 4

Question 2.
Number of diagonals in a Quadrilateral is ……………….
A) 3
B) 6
C) 4
D) 2
Answer:
D) 2

Question 3.
Number of angles in a Quadrilateral is …………………
A) 2
B) 4
C) 6
D) 3
Answer:
B) 4

Question 4.
Each angle in a square is ………………….
A) 90°
B) 70°
C) 80°
D) 100°
Answer:
A) 90°

Question 5.
Number of sides in a Quadrilateral is …………………
A) 4
B) 6
C) 3
D) 5
Answer:
A) 4

Question 6.
Sum of 4 angles in a Quadrilateral is ………………..
A) 160°
B) 300°
C) 180°
D) 360°
Answer:
D) 360°

Question 7.
The sum of adjacent angles in a parallelogram is …………………….
A) 190°
B) 180°
C) 200°
D) 300°
Answer:
B) 180°

Question 8.
Identify the correct among the following.
A) Each angle in a rectangle is 90°
B) Rhombus will have 5 sides
C) A Quadrilateral has two diagonals
D) Each angle in a square is 50°
Answer:
A) Each angle in a rectangle is 90°

Question 9.
If each angle of 90° is to be bisected then the measure of each angle is
A) 60°
B) 70°
C) 80°
D) 45°
Answer:
D) 45°

Question 10.
The perimeter of the given Quadrilateral is ………………….
AP 8th Class Maths Bits Chapter 3 Construction of Quadrilaterals with Answers 1
A) a + b – c – d
B) a + b + c + d
C) a – b – c – d
D) a – b +2c + d
Answer:
B) a + b + c + d

Question 11.
The diagonals of a Rhombus will intersect at ………………..
A) 60°
B) 90°
C) 110°
D) 80°
Answer:
B) 90°

Question 12.
Identify Trapezium among the following:
AP 8th Class Maths Bits Chapter 3 Construction of Quadrilaterals with Answers 2
Answer:

Question 13.
In order to make the given Quadri¬lateral as a parallelogram ……………. should
happen.
AP 8th Class Maths Bits Chapter 3 Construction of Quadrilaterals with Answers 4
A) PQ = RS
B) RQ = PS
C) PQ || SR
D) All the above
Answer:
D) All the above

Question 14.
A line segment of length 7.8 cm is bisected then the length of each part is …………….. cm.
A) 7.4
B) 3.8
C) 7.8
D) 3.9
Answer:
D) 3.9

Question 15.
In the parallelogram ABCD the area of ΔABC is 10 sq.cm then the area of ABCD
= ………………. sq.cm
AP 8th Class Maths Bits Chapter 3 Construction of Quadrilaterals with Answers 5
A) 15
B) 40
C) 20
D) 10
Answer:
C) 20

Question 16.
Identify acute angle from the following.
A) 60°
B) 180°
C) 90°
D) 210°
Answer:
A) 60°

Question 17.
Angles like 0°, 30°, 45°, 60°, 90°, 120° and 180° are called ………………. angles.
A) Dependant
B) Standard
C) Equal
D) Perpendicular
Answer:
B) Standard

Question 18.
In the Quadrilateral BELT, ∠B = 80°, ∠E = 100°, ∠L = 120° then ∠T = ………………
A) 90°
B) 40°
C) 70°
D) 60°
Answer:
D) 60°

Question 19.
In Rhombus PQRS ∠P + ∠Q + ∠R + ∠S = ………………
A) 180°
B) 300°
C) 360°
D) 190°
Answer:
C) 360°

Question 20.
In the parallelogram ABCD, ∠A – ∠C = ……………….
A) 0°
B) 10°
C) 60°
D) 90°
Answer:
A) 0°

Question 21.
The side of a Rhombus is 5 cm then its perimeter is ………………..cm.
A) 16
B) 19
C) 10
D) 20
Answer:
D) 20

Question 22.
In the square ABCD, ∠A = ……………..
AP 8th Class Maths Bits Chapter 3 Construction of Quadrilaterals with Answers 6
A) 70°
B) 45°
C) 80°
D) 60°
Answer:
B) 45°

Question 23.
In the parallelogram SOAP, ∠S = 100° then ∠A = ………………
A) 80°
B) 60°
C) 70°
D) 30°
Answer:
A) 80°

Question 24.
The length and breadth of a rectangle is 3 cm and 4 cm then the length of its diagonal is ……………….. cm.
A) 9
B) 10
C) 6
D) 5
Answer:
D) 5

Question 25.
In a parallelogram ……………….
A) Opposite sides are parallel
B) Diagonals are not equal
C) Sum of adjacent angles is 180°
D) All the above
Answer:
D) All the above

Question 26.
How many pairs of sides are parallel in a Trapezium ?
A) 2
B) 1
C) 6
D) 3
Answer:
B) 1

Question 27.
In a Quadrilateral ABCD, ∠A + ∠B = 200° then ∠C + ∠D = ………………
A) 110°
B) 180°
C) 160°
D) 300°
Answer:
C) 160°

Question 28.
Identify kite among the following :
AP 8th Class Maths Bits Chapter 3 Construction of Quadrilaterals with Answers 7
Answer:

Question 29.
If the diagonals of a Rhombus are equal then it is a ………………
A) Kite
B) Rhombus
C) Square
D) None
Answer:
C) Square

Question 30.
Number of Independent measurements required to construct a Quadrilateral is ………………
A) 9
B) 5
C) 6
D) 4
Answer:
B) 5

Question 31.
Number of Independent measurements required to construct a square is ……………….
A) 5
B) 6
C) 3
D) 1
Answer:
D) 1

Question 32.
To construct a rectangle we need …………… independent measurements.
A) 1
B) 2
C) 6
D) 4
Answer:
B) 2

Question 33.
Opposite angles of a parallelogram are ………………….
A) Equal
B) Parallel
C) 100°
D) None
Answer:
A) Equal

Question 34.
Diagonals are equal in …………………..
A) Kite
B) Trapezium
C) Rhombus
D) Square
Answer:
D) Square

Question 35.
The diagonals of a Rhombus PQRS will intersect at ‘0’ then ∠SOR = ………………..
AP 8th Class Maths Bits Chapter 3 Construction of Quadrilaterals with Answers 9
A) 50°
B) 60°
C) 80°
D) 90°
Answer:
D) 90°

Question 36.
identify Isosceles Trapezium from the following :
AP 8th Class Maths Bits Chapter 3 Construction of Quadrilaterals with Answers 10
Answer:

Question 37.
The perimeter of a Rhombus is 40 cm then the length of its side …………….. is cm.
A) 10
B) 16
C) 32
D) 70
Answer:
A) 10

Question 38.
The diagonal AC is drawn in a square ABCD then Δ ABC is a ………………….
A) Equilateral
B) Isosceles
C) Scalene
D) None
Answer:
B) Isosceles

Question 39.
Area of rectangle is ………………
A) l + b
B) 2 (l + b)
C) l² b²
D) lb
Answer:
D) lb

Question 40.
The given figure indicates …………….
AP 8th Class Maths Bits Chapter 3 Construction of Quadrilaterals with Answers 12
A) Quadrilateral
B) Parallelogram
C) Rectangle
D) All the above
Answer:
B) Parallelogram

AP 8th Class Maths Bits Chapter 2 Linear Equations in One Variable with Answers

September 2, 2021

Practice the AP 8th Class Maths Bits with Answers Chapter 2 Linear Equations in One Variable on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 8th Class Maths Bits 2nd Lesson Linear Equations in One Variable with Answers

Choose the correct answer.

Question 1.
The form of a two – digit number ?
A) 10 × ten’s digit + unit’s digit
B) 10 × unit’s digit + ten’s digit
C) 10 × ten’s digit – unit’s digit
D) 10 × unit’s digit – ten’s digit
Answer:
A) 10 × ten’s digit + unit’s digit

Question 2.
Which of the following is a linear equation ?
A) 2x² + 5 = 0
B) 4x + 5 = 1
C) 2xy + z = 5
D) All the above
Answer:
B) 4x + 5 = 1

Question 3.
If 2x – 7 = 35 then x =
A) 21
B) 22
C) 23
D) 19
Answer:
A) 21

Question 4.
The slim of two numbers is 29. If one number is 5 greater than the other, then the bigger number is
A) 12
B) 15
C) 17
D) 14
Answer:
C) 17

Question 5.
If 2x – 3 = 4x + 5 ⇒ x =
A) -4
B) 2
C) 3
D) -3
Answer:
A) -4

Question 6.
If 5 is subtracted from 4 times of number gives 19, then the number is
A) 4
B) 6
C) 8
D) 5
Answer:
B) 6

Question 7.
The length of a rectangular park is 17m more than the breadth. If its perimeter is 178 m, then the length is (in mts)
A) 53
B) 36
C) 17
D) 49
Answer:
A) 53

Question 8.
If [latex]\frac{\mathbf{x}}{-\mathbf{5}}[/latex] = -1 ⇒ x =
A) 5
B) – 5
C) [latex]\frac{-1}{5}[/latex]
D) -6
Answer:
A) 5

Question 9.
The difference of two linear angles is 34 then the smaller angle is
A) 49°
B) 107°
C) 73°
D) 83°
Answer:
C) 73°

Question 10.
Present age of Rajesh is x years. After 5 years his age will be
A) x/5 years
B) (x – 5) years
C) (x + 5) years
D) (5 – x) years
Answer:
C) (x + 5) years

Question 11.
If 2t = 0 then’t’=
A) [latex]\frac {1}{2}[/latex]
B) 0
C) -3
D) can’t be determine
Answer:
B) 0

Question 12.
If 5(p – 3) = 3(p – 2) then p =
A) [latex]\frac{9}{2}[/latex]
B) [latex]\frac{-9}{2}[/latex]
C) [latex]\frac{2}{9}[/latex]
D) [latex]\frac{-2}{9}[/latex]
Answer:
A) [latex]\frac{9}{2}[/latex]

Question 13.
If [latex]\frac{x}{2}+\frac{x}{3}[/latex] = 5 then x =
A) 5
B) 6
C) 4
D) 30
Answer:
B) 6

Question 14.
If [latex]\frac{x+7}{3 x+16}=\frac{4}{7}[/latex] then x =
A) – 1
B) – 2
C) – 3
D) – 4
Answer:
C) – 3

Question 15.
[latex]\frac{4}{5}[/latex] times of a number is 4 greater than [latex]\frac{3}{4}[/latex] times of the same number. Then the number is
A) 20
B) 30
C) 60
D) 80
Answer:
D) 80

Question 16.
2015 k = 2016 – 2016 then k = ………………..
A) 1
B) [latex]\frac{1}{2015}[/latex]
C) 0
D) 9
Answer:
C) 0

Question 17.
In a fraction the denominator is 6 more than the numerator. If 3 is added to numerator the fraction equals to 2/3 then the fraction is ……………………..
A) 3/9
B) 2/9
C) 2/6
D) 3/6
Answer:
A) 3/9

Question 18.
[latex]\frac{x-4}{7}-\frac{(x+4)}{5}=\frac{x+3}{7}[/latex] then x = ………………..
A) 14
B) 7
C) 9
D) – 9
Answer:
D) – 9

Question 19.
3y + 39 = 8 then y = …………………
A) 1
B) [latex]\frac{1}{2}[/latex]
C) [latex]\frac{-1}{3}[/latex]
D) [latex]\frac{-31}{3}[/latex]
Answer:
D) [latex]\frac{-31}{3}[/latex]

Question 20.
3 (t – 3) = 5 (2t – 1) then t =
A) [latex]\frac{-4}{7}[/latex]
B) [latex]\frac{7}{4}[/latex]
C) [latex]\frac{-1}{2}[/latex]
D) [latex]\frac{1}{3}[/latex]
Answer:
A) [latex]\frac{-4}{7}[/latex]

Question 21.
If [latex]\frac{x}{2}-\frac{1}{4}=\frac{x}{3}+\frac{1}{2}[/latex] then X = ………………..
A) [latex]\frac{1}{2}[/latex]
B) [latex]\frac{1}{4}[/latex]
C) [latex]\frac{9}{2}[/latex]
D) [latex]\frac{2}{9}[/latex]
Answer:
C) [latex]\frac{9}{2}[/latex]

Question 22.
If [latex]\frac{5 x+2}{2 x+3}=\frac{12}{7}[/latex] then x = ………………..
A)-3
B) – 1
C) 4
D) 2
Answer:
D) 2

Question 23.
If the product of two consecutive numbers is 7 2 then the smaller number is ………………..
A) [latex]\frac{-3}{2}[/latex] or 19
B) -4 or 6
C) -8 or 6
D) 8 or -9
Answer:
D) 8 or -9

Question 24.
3x + [latex]\frac {1}{2}[/latex] = 5 then x = ………………
A) [latex]\frac {3}{2}[/latex]
B) [latex]\frac {1}{2}[/latex]
C) 1
D) [latex]\frac {6}{7}[/latex]
Answer:
A) [latex]\frac {3}{2}[/latex]

Question 25.
3x – 4 = 5x – 2 then x = ……………….
A) – 3
B) 4
C) 1
D) – 1
Answer:
D) – 1

Question 26.
P – [latex]\frac{p-1}{2}[/latex] = 1 – [latex]\frac{p-2}{3}[/latex] then p = ………………..
A) [latex]\frac{7}{5}[/latex]
B) [latex]\frac{1}{2}[/latex]
C) [latex]\frac{1}{4}[/latex]
D) [latex]\frac{1}{9}[/latex]
Answer:
A) [latex]\frac{7}{5}[/latex]

Question 27.
[latex]\frac{1}{4}[/latex] x = 30 then x = ……………….
A) 340
B) 710
C) 120
D) 110
Answer:
C) 120

Question 28.
[latex]\frac{2 x+3}{3+x}=\frac{5}{2}[/latex], x = ……………….
A) -9
B) 10
C) 3
D) – 1
Answer:
A) -9

Question 29.
Three consecutive numbers can be considered as ……………
A) x, x², x³
B) x, x + 1, x + 2
C) x, x², x – 1
D) x, x – 1, 2x
Answer:
B) x, x + 1, x + 2

Question 30.
2.45x + 1.5 = 3.7x – 2.25 then x = ………………
A) 4
B) 7
C) 3
D) – 1
Answer:
C) 3

Question 31.
6 – [latex]\frac{x-1}{2}=\frac{x-2}{3}+\frac{3-x}{4}[/latex] x = …………………..
A) 11
B) 10
C) – 6
D) – 4
Answer:
A) 11

Question 32.
3x – x = 0 then x = ……………………..
A) -4
B) -3
C) -1
D) 0
Answer:
D) 0

Question 33.
[latex]\frac{\mathbf{x}}{5}[/latex] + 11 = [latex]\frac{1}{15}[/latex] then x = …………………….
A) 1
B) -1
C) 3
D) none
Answer:
D) none

Question 34.
If we divide a number by 7 we get the result as 5, then the number is ……………….
A) 35
B) 10
C) 16
D) 70
Answer:
A) 35

Question 35.
Which of the following is true ?
A) 3x = 10, x = 1
B) 2m = 1, m = 0
C) [latex]\frac {2}{3}[/latex]x² = 1, x = [latex]\frac {3}{2}[/latex]
D) 2x – x = 9, x = 9
Answer:
D) 2x – x = 9, x = 9

Question 36.
ax + c = 0 then x = …………………..
A) [latex]\frac{-c}{a}[/latex]
B) [latex]\frac{\mathrm{-b}}{\mathrm{a}}[/latex]
C) [latex]\frac{\mathrm{b}}{\mathrm{a}}[/latex]
D) [latex]\frac{1}{c}[/latex]
Answer:
A) [latex]\frac{-c}{a}[/latex]

Question 37.
3z – 1 = 1 then z = ………………………
A) -1
B) [latex]\frac {3}{2}[/latex]
C) [latex]\frac {2}{3}[/latex]
D) 1
Answer:
C) [latex]\frac {2}{3}[/latex]

Question 38.
Which of the following equation has the natural number as solution ?
A) 8x – 3 = 4
B) 2x = 1
C) 9x = 9
D) 3x + 1 = 0
Answer:
C) 9x = 9

Question 39.
3x + 7 = – 20, x = ………………..
A) – 3
B) – 91
C) – 4
D) – 9
Answer:
D) – 9

Question 40.
If x is 3 more then it becomes 7 the equation form of this is ……………………
A) x = 3 + 7
B) x – 1 = 1
C) x – 3 = 4
D) x + 3 = 7
Answer:
D) x + 3 = 7

Question 41.
43 k = 0.086 then k = ………………..
A) 0.02
B) 0.7
C) 0.2
D) 0.002
Answer:
D) 0.002

Question 42.
If y – 15 and 2y + 1 are to be equal then the value of y is ……………..
A) – 16
B) 16
C) 10
D) 20
Answer:
A) – 16

Question 43.
Which of the following equation has ‘5’ as solution ?
A) x – 5 = 1
B) 10x = 50
C) bx = 2
D) 50x = 5
Answer:
B) 10x = 50

Question 44.
The equation x = 6 can be obtained from …………………..
A) 4x = 6
B) x – 1 = 5
C) x + 6 = 7
D) 5x = 66
Answer:
B) x – 1 = 5

Question 45.
-6 + k = – 12 then k = ………………..
A) 3
B) 10
C) – 6
D) 1
Answer:
C) – 6

Question 46.
[latex]\frac{x}{2}[/latex] = -31 then x = ……………………..
A) 33
B) 11
C) – 60
D) – 62
Answer:
D) – 62

Question 47
…………….. is a solution to 3x = – 1
A) [latex]\frac{-1}{3}[/latex]
B) 3
C) 1
D) [latex]\frac{1}{4}[/latex]
Answer:
A) [latex]\frac{-1}{3}[/latex]

Question 48.
2x + 3 = 5 then 4x + 6 = ………………….
A) 10
B) 16
C) 13
D) 9
Answer:
A) 10

Question 49.
3x = 15 then x – 4 = ………………………
A) 16
B) 7
C) 3
D) 1
Answer:
D) 1

Question 50.
4x – 7 = 11 then x = ……………………..
A) 10
B) 6
C) 9
D) none
Answer:
D) none

Question 51.
3 (x – 5) = 8x – 6. In this equation the number of variables are ………………….
A) 2
B) 3
C) 1
D) 4
Answer:
C) 1

Question 52.
x – [latex]\frac {1}{2}[/latex] = [latex]\frac {-1}{2}[/latex] then x = ………………..
A) – 1
B) 0
C) 9
D) 1
Answer:
B) 0

Question 53.
If we add 4 to 8 times of a number we get 60 then the number is ………………..
A) 7
B) 6
C) 9
D) 10
Answer:
A) 7

Question 54.
If we subtract 11 from the double of a number we get 15 then the number is ………………….
A) 18
B) 11
C)10
D) 13
Answer:
D) 13

Question 55.
Krishna Kishore took one number. If he subtracts 7 from the [latex]\frac {5}{2}[/latex] th value of
the number, he gets [latex]\frac {11}{2}[/latex] as result then the number is ………………….
A) 9
B) 10
C) 5
D) 6
Answer:
C) 5

Question 56.
In a cricket match Sachin scored double the runs than Sehwag scored. Both were short by 2 runs to the double century then how many runs scored by Sachin ?
A) 132
B) 66
C) 16
D) 98
Answer:
A) 132

Question 57.
The age of Rani’s father was 49 years and he was 4 years more than 3 times the age of Rani, then what is the age of Rani ?
A) 16 years
B) 15 years
C) 9 years
D) 10 years
Answer:
B) 15 years

Question 58.
[latex]\frac{\mathbf{x}}{5}[/latex] – 1 = 2 then x = ……………….
A) 16
B) 10
C) 19
D) 15
Answer:
D) 15

Question 59.
[latex]\frac {2}{3}[/latex] y = 1 then y = …………………..
A) [latex]\frac {3}{2}[/latex]
B) 1
C) [latex]\frac {2}{3}[/latex]
D) [latex]\frac {1}{2}[/latex]
Answer:
A) [latex]\frac {3}{2}[/latex]

Question 60.
The sum of 3 consecutive multiples of 7 was 357 then the smaller number is ………………
A) 112
B) 116
C) 135
D) 171
Answer:
A) 112

Question 61.
[latex]\frac{-4 y}{7}=\frac{-4}{9}[/latex] then y = ……………………
A) [latex]\frac{1}{4}[/latex]
B) [latex]\frac{2}{3}[/latex]
C) [latex]\frac{1}{9}[/latex]
D) [latex]\frac{7}{9}[/latex]
Answer:
D) [latex]\frac{7}{9}[/latex]

Question 62.
[latex]\frac{1}{3}[/latex] – s = [latex]\frac{1}{9}[/latex] then s = …………………..
A) 1
B) – 1
C) 2
D) none
Answer:
D) none

Question 63.
An equation in one variable will have ……………… solution (s).
A) 1
B) 2
C) 3
D) 4
Answer:
A) 1

Question 64.
2 (a – 3) = 2 then a = ………………….
A) 14
B) – 3
C) 4
D) 1
Answer:
C) 4

Question 65.
[latex]\frac{x+2}{x-2}=\frac{7}{3}[/latex] then x = ……………………
A) 5
B) -5
C)10
D) 6
Answer:
A) 5

Question 66.
0.18 (5x – 4) = 0.5x + 0.8, x = ………………
A) 3
B) 3.8
C) 8
D) 1.9
Answer:
B) 3.8

Question 67.
[latex]\frac {1}{2}[/latex] P = [latex]\frac {1}{2}[/latex] then p = ……………….
A) [latex]\frac {1}{4}[/latex]
B) -1
C) 2
D) 1
Answer:
D) 1

Question 68.
[latex]\frac {3}{4}[/latex] (8x – 1) = 0 then x = ……………………
A) [latex]\frac {1}{4}[/latex]
[B) latex]\frac {1}{2}[/latex]
C) [latex]\frac {1}{8}[/latex]
D) -1
Answer:
C) [latex]\frac {1}{8}[/latex]

Question 69.
If we add 9 to a positive number we get 45, then the number is ……………….
A) 23
B) 35
C) 40
D) 36
Answer:
D) 36

Question 70.
The sum of two consecutive positive numbers is 10 then the smallest one is ………………..
A) 6
B) 7
C) 9
D) none
Answer:
D) none

Question 71.
[latex]\frac{4 x}{4}=\frac{3}{4}[/latex], x = ………………
A) [latex]\frac{3}{4}[/latex]
B) [latex]\frac{-2}{3}[/latex]
C) 1
D) 0
Answer:
A) [latex]\frac{3}{4}[/latex]

Question 72.
0.3x. + 0.4 = 0.28x + 1.16, x = …………………………
A) 10
B) 38
C) 19
D) 29
Answer:
B) 38

Question 73.
– 5 (x + 4) = 0, x = …………………
A) 41
B) – 4
C) – 3
D) 7
Answer:
B) – 4

Question 74.
Identify linear equation among the following.
A) 3x² y + 7 = 0
B) x² y² + 1 = 0
C) ax + 3y + 7z = 0
D) 9xy²z + 6yz = 0
Answer:
C) ax + 3y + 7z = 0

Question 75.
The degree of a Linear equation is …………
A) 1
B) 3
C) – 2
D) – 1
Answer:
A) 1

Question 76.
Identify a Linear equation in one variable among the following .
A) 2x + y = 0
B) 7x – 3z + 4p = 0
C) 2 (x – 1) + 7 = 9
D) 8x = 3y + 4
Answer:
C) 2 (x – 1) + 7 = 9

Question 77.
[latex]\frac {4}{3}[/latex] x – x = 1 [latex]\frac {1}{2}[/latex] then x …………………
A) 0
B) 5
C) 3
D) none
Answer:
D) none

Question 78.
In [latex]\frac {1}{2}[/latex] (t + 3) = 2 (t + 7), LHS = ………………….
A) [latex]\frac {1}{2}[/latex] (t + 3)
B) [latex]\frac {1}{2}[/latex] (t – 3)
C) t – 3
D) [latex]\frac {1}{2}[/latex] (t – 1)
Answer:
A) [latex]\frac {1}{2}[/latex] (t + 3)

Question 79.
In an equation LHS ……………….. RHS.
A) >
B) <
C) =
D) ≠
Answer:
C) =

Question 80.
2x = 1 + x, x = …………………..
A) 0
B) 1
C) – 3
D) – 7
Answer:
B) 1

Question 81.
After 12 years the age of Ramu is 3 times the age before he was 4 years then his present age is ………………. years.
A) 16
B) 10
C) 9
D) none
Answer:
D) none

Question 82.
The difference between two complementary angles is 10° then the largest angle is …………………..
A) 40°
B) 50°
C) 70°
D) 60°
Answer:
B) 50°

Question 83.
x – 1 = [latex]\frac{7}{4}[/latex] then x = ………………
A) [latex]\frac{11}{4}[/latex]
B) [latex]\frac{4}{11}[/latex]
C) [latex]\frac{8}{41}[/latex]
D) [latex]\frac{9}{3}[/latex]
Answer:
A) [latex]\frac{11}{4}[/latex]

Question 84.
If we add half a number to it we get 72 then the number is …………………
A) 38
B) 48
C) 64
D) 90
Answer:
B) 48

Question 85.
One person sold a radio at 10% profit then he gets ? 714 then the C.P of that radio was …………………..
A) ₹ 160
B) ₹ 140
C) ₹ 120
D) ₹ 680
Answer:
D) ₹ 680

Question 86.
[latex]\frac{6}{7}-\frac{5}{4}-\frac{1}{3}[/latex] x + 2x = 0 then x = ………………….
A) [latex]\frac{133}{196}[/latex]
B) [latex]\frac{1}{194}[/latex]
C) [latex]\frac{3}{196}[/latex]
D) n0ne
Answer:
D) n0ne

Question 87.
[latex]\frac{7}{4}[/latex] – p = 11, p = ………………
A) [latex]\frac{-7}{2}[/latex]
B) [latex]\frac{-3}{4}[/latex]
C) [latex]\frac{-37}{4}[/latex]
D) [latex]\frac{7}{4}[/latex]
Answer:
C) [latex]\frac{-37}{4}[/latex]

Question 88.
In the figure x + y = ………………
AP 8th Class Maths Bits Chapter 2 Linear Equations in One Variable with Answers 1
A) 100°
B) 180°
C) 110°
D) 170°
Answer:
B) 180°

Question 89.
If we subtract 5 from 4 times of a number we get 19 then the number is ………………
A) 34
B) 29
C) 44
D) 39
Answer:
D) 39

Question 90.
In the figure x° = ………………
AP 8th Class Maths Bits Chapter 2 Linear Equations in One Variable with Answers 2
A) 115°
B) 130°
C) 120°
D) 160°
Answer:
C) 120°

Question 91.
In the figure a + b = ……………….
AP 8th Class Maths Bits Chapter 2 Linear Equations in One Variable with Answers 3
A) 180°
B) 90°
C) 188°
D) 110°
Answer:
B) 90°

Question 92.
In the figure x = ………………..
AP 8th Class Maths Bits Chapter 2 Linear Equations in One Variable with Answers 4
A) 60°
B) 20°
C) 80°
D) 40°
Answer:
D) 40°

Question 93.
In 5 (2x + 1) = x – [latex]\frac {9}{2}[/latex] RHS = ……………………
A) 10x + 1
B) x – [latex]\frac {9}{2}[/latex]
C) 10x – x
D) 8x + 1
Answer:
B) x – [latex]\frac {9}{2}[/latex]

Question 94.
[latex]\frac{3 x+16}{x+7}=\frac{7}{4}[/latex], x =
A) 4
B) 3
C) 8
D) – 3
Answer:
D) – 3

Question 95.
[latex]\frac{x-4}{7}[/latex] = 7 – 7, x = ……………..
A) 4
B) 6
C) – 14
D) -3
Answer:
A) 4

Question 96.
We can ……………….. the variables from one side to another side like constants.
A) transpose
B) balance
C) property
D) none
Answer:
A) transpose

Question 97.
If we double 2x we get ……………….
A) 3x
B) x
C) 4x
D) [latex]\frac{x}{4}[/latex]
Answer:
C) 4x

Question 98.
The number of variables in x² + y = z + 7 is ………………
A) 1
B) 2
C) 4
D) 3
Answer:
D) 3

Question 99.
3x + 4 = 2 (x – x) then x = ……………..
A) [latex]\frac{4}{3}[/latex]
B) [latex]\frac{-4}{3}[/latex]
C) 3
D) -4
Answer:
B) [latex]\frac{-4}{3}[/latex]

Question 100.
In a fraction numerator is 6 less than the denominator. If 3 is added to the fraction it becomes [latex]\frac {2}{3}[/latex] then the fraction is …………………..
A) [latex]\frac {1}{4}[/latex]
B) [latex]\frac {1}{2}[/latex]
C) [latex]\frac {3}{8}[/latex]
D) [latex]\frac {3}{9}[/latex]
Answer:
D) [latex]\frac {3}{9}[/latex]

AP 8th Class Maths Bits Chapter 1 Rational Numbers with Answers

September 1, 2021

Practice the AP 8th Class Maths Bits with Answers Chapter 1 Rational Numbers on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 8th Class Maths Bits 1st Lesson Rational Numbers with Answers

Choose the correct answer.

Question 1.
Which of the following is not a rational number ?
A) 1
B) 1.[latex]\overline{3}[/latex]
C) √5
D) √9
Answer:
C) √5

Question 2.
Which of the following is true ?
A) N ⊂ W ⊂ Q ⊂ Z
B) N ⊂ Z ⊂ W ⊂ Q
C) W ⊂ N ⊂ Q ⊂ Z
D) N ⊂ W ⊂ Z ⊂ Q
Answer:
D) N ⊂ W ⊂ Z ⊂ Q

Question 3.
Set of rational numbers under addition which of the following properties is hold ?
A) Closure
B) Associative
C) Commutative
D) All the above
Answer:
D) All the above

Question 4.
Set of rational numbers is not hold which of the following with respect to closure property ?
A) Addition
B) Subtraction
C) Multiplication
D) Division
Answer:
D) Division

Question 5.
Which of the following is an additive identity element ?
A) 0
B) 1
C) 2
D) -1
Answer:
A) 0

Question 6.
Which of the following is a multiplicative identity element ?
A) 0
B) 1
C) 2
D) -1
Answer:
B) 1

Question 7.
Which of the following is a multiplicative inverse of [latex]\frac{-3}{4}[/latex] ?
A) 1
B) [latex]\frac{3}{4}[/latex]
C) [latex]\frac{4}{3}[/latex]
D) [latex]\frac{-4}{3}[/latex]
Answer:
D) [latex]\frac{-4}{3}[/latex]

Question 8.
What is the additive inverse of [latex]\frac{5}{6}[/latex] ?
A) [latex]\frac{-5}{6}[/latex]
B) [latex]\frac{-6}{5}[/latex]
C) [latex]\frac{6}{5}[/latex]
D) 0
Answer:
A) [latex]\frac{-5}{6}[/latex]

Question 9.
Which of the following is commutative property under multiplication ?
A) a × b = c
B) a × b = b × a
C) a × (b × c) = (a × b) × c
D) a × (b + c) = ab + ac
Answer:
B) a × b = b × a

Question 10.
Which of the following is a multipli-cative distributive property over addition ?
A) [latex]\frac{2}{3} \times \frac{1}{5}=\frac{2}{15}[/latex]
B) 2 + 3 = 3 + 2
C) 2 × (3 × 4) = (2 × 3) × 4
D) 2 × (3 + 4) = (2 × 3) + (2 × 4)
Answer:
D) 2 × (3 + 4) = (2 × 3) + (2 × 4)

Question 11.
Which of the following is not true ?
A) Every natural number is a whole number
B) Every whole number is an integer
C) Every rational number is an integer
D) Every whole number is a rational number
Answer:
C) Every rational number is an integer

Question 12.
AP 8th Class Maths Bits Chapter 1 Rational Numbers with Answers 1 × [latex]\frac{7}{8}=\frac{7}{8}[/latex]
A) 0
B) 1
C) [latex]\frac{8}{7}[/latex]
D) [latex]\frac{7}{8}[/latex]
Answer:
B) 1

Question 13.
(-[latex]\frac {1}{2}[/latex]) + ………………. = 0
A) [latex]\frac {1}{2}[/latex]
B) 0
C) -[latex]\frac {1}{2}[/latex]
D) 2
Answer:
A) [latex]\frac {1}{2}[/latex]

Question 14.
The product of multiplicative inverses of [latex]\frac{-9}{2}[/latex] and [latex]\frac{5}{18}[/latex] is?
A) [latex]\frac{5}{4}[/latex]
B) -[latex]\frac{5}{4}[/latex]
C) [latex]\frac{4}{5}[/latex]
D) -[latex]\frac{4}{5}[/latex]
Answer:
D) -[latex]\frac{4}{5}[/latex]

Question 15.
Which of the following has no multiplication inverse ?
A) 0
B) 1
C) -1
D) [latex]\frac{6}{7}[/latex]
Answer:
A) 0

Question 16.
Which of the following is a non – terminating repeating decimal ?
A) [latex]\frac{22}{7}[/latex]
B) 1.3
C) [latex]\frac{20}{3}[/latex]
D) [latex]\frac{6}{5}[/latex]
Answer:
C) [latex]\frac{20}{3}[/latex]

Question 17.
The [latex]\frac{\mathbf{p}}{\mathbf{q}}[/latex] form of 0.35 is ………………
A) [latex]\frac{16}{7}[/latex]
B) [latex]\frac{35}{100}[/latex]
C) [latex]\frac{0.35}{100}[/latex]
D) [latex]\frac{35}{1000}[/latex]
Answer:
B) [latex]\frac{35}{100}[/latex]

Question 18.
The [latex]\frac{\mathbf{p}}{\mathbf{q}}[/latex] form of 4.[latex]\overline{\mathbf{7}}[/latex] is ……………….
A) [latex]\frac{33}{8}[/latex]
B) [latex]\frac{43}{9}[/latex]
C) [latex]\frac{4}{9}[/latex]
D) [latex]\frac{16}{7}[/latex]
Answer:
B) [latex]\frac{43}{9}[/latex]

Question 19.
If we write 0.[latex]\overline{4}[/latex] in [latex]\frac{\mathbf{p}}{\mathbf{q}}[/latex] from the value of p + q is ………………..
A) 14
B) – 9
C) 10
D) 13
Answer:
D) 13

Question 20.
The [latex]\frac{\mathbf{p}}{\mathbf{q}}[/latex] form of – 8.005 is …………………..
A) [latex]\frac{-1601}{200}[/latex]
B) [latex]\frac{-701}{40}[/latex]
C) [latex]\frac{-812}{117}[/latex]
D) [latex]\frac{-314}{819}[/latex]
Answer:
A) [latex]\frac{-1601}{200}[/latex]

Question 21.
Periodicity of 1.[latex]\overline{\mathbf{2 5}}[/latex] is ………………..
A) 5
B) 25
C) 2
D) 3
Answer:
C) 2

Question 22.
Period of 1.[latex]\overline{156}[/latex] is ……………………
A) 156
B) 15.6
C) 1.56
D) 15600
Answer:
A) 156

Question 23.
[latex]\frac{5}{3}[/latex] = …………………
A) 2.[latex]\overline{1}[/latex]
B) 1.[latex]\overline{8}[/latex]
C) 1.[latex]\overline{5}[/latex]
D) 1.[latex]\overline{6}[/latex]
Answer:
D) 1.[latex]\overline{6}[/latex]

Question 24.
– (-([latex]\frac{-2}{3}[/latex])) = …………………..
A) [latex]\frac{-2}{3}[/latex]
B) [latex]\frac{2}{3}[/latex]
C) [latex]\frac{3}{2}[/latex]
D) [latex]\frac{1}{2}[/latex]
Answer:
A) [latex]\frac{-2}{3}[/latex]

Question 25.
[latex]\frac{8}{5}[/latex] + 0 = 0 + [latex]\frac{8}{5}[/latex] = …………………
A) [latex]\frac{6}{3}[/latex]
B) [latex]\frac{5}{7}[/latex]
C) [latex]\frac{8}{5}[/latex]
D) [latex]\frac{1}{5}[/latex]
Answer:
C) [latex]\frac{8}{5}[/latex]

Question 26.
[latex]\frac{2}{5} \times\left(\frac{-1}{9}\right)+\frac{23}{180}-\frac{1}{9} \times \frac{3}{4}[/latex] = ……………….
A) 3
B) 0
C) 10
D) 16
Answer:
B) 0

Question 27.
[latex]\frac{2}{5}+\frac{3}{7}-\frac{6}{5}-\frac{13}{7}[/latex] = ………………..
A) [latex]\frac{-8}{5}[/latex]
B) [latex]\frac{-7}{3}[/latex]
C) [latex]\frac{-78}{35}[/latex]
D) [latex]\frac{78}{35}[/latex]
Answer:
C) [latex]\frac{-78}{35}[/latex]

Question 28.
1 × ……………….. = [latex]\frac{91}{11}[/latex]
A) [latex]\frac{9}{11}[/latex]
B) [latex]\frac{91}{11}[/latex]
C) [latex]\frac{9}{1121}[/latex]
D) [latex]\frac{11}{91}[/latex]
Answer:
B) [latex]\frac{91}{11}[/latex]

Question 29.
2 <[latex]\frac{17}{8}[/latex] <[latex]\frac{9}{4}[/latex] < K < 3, K = ………………….
A) [latex]\frac{1}{7}[/latex]
B) [latex]\frac{1}{2}[/latex]
C) [latex]\frac{2}{5}[/latex]
D) [latex]\frac{5}{2}[/latex]
Answer:
D) [latex]\frac{5}{2}[/latex]

Question 30.
[latex]\frac{10}{7}[/latex] = ………………….
A) 0.1428
B) 0.1328
C) 0.7418
D) 0.1923
Answer:
A) 0.1428

Question 31.
[latex]\frac{1575}{100}[/latex] = ……………………
A) [latex]\frac{4}{63}[/latex]
B) [latex]\frac{60}{19}[/latex]
C) [latex]\frac{63}{4}[/latex]
D) [latex]\frac{6}{31}[/latex]
Answer:
C) [latex]\frac{63}{4}[/latex]

Question 32.
0.[latex]\overline{\mathbf{9}}[/latex] = ………………..
A) 9
B) 1
C) 1.9
D) 7.5
Answer:
B) 1

Question 33.
[latex]\frac{1}{2}+\frac{1}{2}+\frac{1}{2}[/latex] + ……………….. 10 times = …………………
A) 6
B) 5
C) 20
D) 4
Answer:
B) 5

Question 34.
1 ÷ ………………… = [latex]\frac {1}{2}[/latex]
A) 2
B) [latex]\frac {1}{2}[/latex]
C) 4
D) 6
Answer:
A) 2

Question 35.
2016 ÷ 0 = ……………………….
A) 0
B) 2
C) 16
D) can’t be determine
Answer:
D) can’t be determine

Question 36.
Which number is not a prime number nor a composite number ?
A) 16
B) 1
C) 4
D) 3
Answer:
B) 1

Question 37.
The number of Rational numbers between 16 and 17 is ………………..
A) 10
B) 4
C) 20
D) Infinite
Answer:
D) Infinite

Question 38.
[latex]\frac{3}{2}-\frac{1}{2}[/latex] = ………………….
A) – 4
B) 2
C) -2
D) 6
Answer:
C) -2

Question 39.
x(p – q) = …………………
A) px – q
B) p – xq
C) xp – ql
D) xp – xq
Answer:
D) xp – xq

Question 40.
[latex]\frac{5}{9}-\frac{3}{4}[/latex] = ……………….
A) [latex]\frac{-9}{10}[/latex]
B) [latex]\frac{1}{6}[/latex]
C) [latex]\frac{-7}{36}[/latex]
D) [latex]\frac{7}{3}[/latex]
Answer:
C) [latex]\frac{-7}{36}[/latex]

Question 41.
[latex]\frac{-2}{3} \div \frac{2}{3}[/latex] = ……………..
A) 10
B) -1
C) 1
D) 0
Answer:
B) -1

Question 42.
The multiplicative inverse of 1 is ……………………..
A) 7
B) 3
C) 1
D) 10
Answer:
C) 1

Question 43.
The product of two numbers is [latex]\frac{-\mathbf{2 0}}{9}[/latex] and one of the numbers is 4 then the other number is …………………
A) [latex]\frac{-1}{9}[/latex]
B) [latex]\frac{9}{5}[/latex]
C) [latex]\frac{5}{9}[/latex]
D) [latex]\frac{-5}{9}[/latex]
Answer:
D) [latex]\frac{-5}{9}[/latex]

Question 44.
[latex]\frac{-16}{21}[/latex] ÷ [latex]\frac{-4}{3}[/latex] = ……………..
A) [latex]\frac{4}{7}[/latex]
B) [latex]\frac{1}{7}[/latex]
C) [latex]\frac{7}{4}[/latex]
D) [latex]\frac{2}{3}[/latex]
Answer:
A) [latex]\frac{4}{7}[/latex]

Question 45.
[latex]\frac{5}{12}[/latex] ÷ X = [latex]\frac{-35}{18}[/latex]
A) [latex]\frac{-1}{2}[/latex]
B) [latex]\frac{-3}{14}[/latex]
C) [latex]\frac{3}{4}[/latex]
D) [latex]\frac{-1}{7}[/latex]
Answer:
B) [latex]\frac{-3}{14}[/latex]

Question 46.
Which of the following rational number is in standard form?
A) [latex]\frac{26}{78}[/latex]
B) [latex]\frac{-9}{20}[/latex]
C) [latex]\frac{14}{12}[/latex]
D) [latex]\frac{-48}{16}[/latex]
Answer:
B) [latex]\frac{-9}{20}[/latex]

Question 47.
If we subtract ……………… from [latex]\frac{-3}{4}[/latex] we get [latex]\frac{5}{6}[/latex].
A) [latex]\frac{-1}{3}[/latex]
B) [latex]\frac{1}{12}[/latex]
C) [latex]\frac{-19}{12}[/latex]
D) [latex]\frac{9}{4}[/latex]
Answer:
C) [latex]\frac{-19}{12}[/latex]

Question 48.
Identify the bigger one among the following: [latex]\frac{-4}{9}, \frac{-5}{12}, \frac{-7}{18}, \frac{-2}{3}[/latex]
A) [latex]\frac{-7}{18}[/latex]
B) [latex]\frac{-5}{12}[/latex]
C) [latex]\frac{-2}{3}[/latex]
D) [latex]\frac{-4}{9}[/latex]
Answer:
A) [latex]\frac{-7}{18}[/latex]

Question 49.
Kishore bought 5[latex]\frac{3}{4}[/latex] kg apples and 4[latex]\frac{1}{2}[/latex]kg oranges then find the total weight in kgs.
A) 3[latex]\frac {1}{3}[/latex] kg
B) 10[latex]\frac {1}{4}[/latex] kg
C) 7[latex]\frac {1}{2}[/latex] kg
D) 9[latex]\frac {1}{4}[/latex] kg
Answer:
B) 10[latex]\frac {1}{4}[/latex] kg

Question 50.
Krishna read [latex]\frac {1}{3}[/latex] of a book in 1 hour. Then how much he will read in 3[latex]\frac {1}{3}[/latex] hrs?
A) [latex]\frac{16}{15}[/latex]
B) [latex]\frac{6}{11}[/latex]
C) [latex]\frac{5}{13}[/latex]
D) [latex]\frac{1}{2}[/latex]
Answer:
A) [latex]\frac{16}{15}[/latex]

Question 51.
[latex]\frac{11}{2} \times \frac{3}{10}[/latex] = ………………..
A) [latex]\frac{9}{10}[/latex]
B) [latex]\frac{3}{20}[/latex]
C) [latex]\frac{30}{20}[/latex]
D) [latex]\frac{33}{20}[/latex]
Answer:
D) [latex]\frac{33}{20}[/latex]

Question 52.
1 – [latex]\frac{1}{2}-\frac{1}{2}-\frac{1}{2}[/latex] = ………………..
A) [latex]\frac{-1}{2}[/latex]
B) [latex]\frac{1}{2}[/latex]
C) -1
D) 10
Answer:
A) [latex]\frac{-1}{2}[/latex]

Question 53.
[latex]\frac{3}{5}[/latex] ÷ [latex]\frac{1}{3}[/latex] = ……………….
A) 9
B) [latex]\frac{1}{3}[/latex]
C) [latex]\frac{1}{5}[/latex]
D) [latex]\frac{9}{5}[/latex]
Answer:
D) [latex]\frac{9}{5}[/latex]

Question 54.
Reciprocal of 1[latex]\frac{1}{2}[/latex] = ………………..
A) [latex]\frac{2}{3}[/latex]
B) [latex]\frac{3}{2}[/latex]
C) 1
D) [latex]\frac{1}{2}[/latex]
Answer:
A) [latex]\frac{2}{3}[/latex]

Question 55.
51.36 + 87.35 = …………………
A) 131.71
B) 138.71
C) 108.71
D) 81.789
Answer:
B) 138.71

Question 56.
[latex]\frac{-24}{84}[/latex] = ………………
A) [latex]\frac{-7}{2}[/latex]
B) [latex]\frac{7}{2}[/latex]
C) [latex]\frac{-2}{7}[/latex]
D) [latex]\frac{2}{7}[/latex]
Answer:
C) [latex]\frac{-2}{7}[/latex]

Question 57.
Equivalent fraction to [latex]\frac{3}{5}[/latex] is ………………….
A) [latex]\frac{12}{20}[/latex]
B) [latex]\frac{2}{20}[/latex]
C) [latex]\frac{3}{9}[/latex]
D) [latex]\frac{1}{16}[/latex]
Answer:
A) [latex]\frac{12}{20}[/latex]

Question 58.
[latex]\frac{-4}{9}=\frac{x}{-27}[/latex] then x = ……………….
A) 13
B) 16
C) 10
D) 12
Answer:
D) 12

Question 59.
[latex]\frac{-2}{5}\left(\frac{-7}{10}+\frac{1}{6}\right)[/latex] = ……………………..
A) [latex]\frac{-11}{75}[/latex]
B) [latex]\frac{-16}{75}[/latex]
C) [latex]\frac{-14}{75}[/latex]
D) [latex]\frac{-15}{75}[/latex]
Answer:
B) [latex]\frac{-16}{75}[/latex]

Question 60.
([latex]\frac{3}{4}[/latex]) ÷ 0 = ………………….
A) 0
B) -3
C) -4
D) Not defined
Answer:
D) Not defined

Question 61.
[latex]\frac{8}{-5}+\frac{-5}{-6}[/latex] = ………………….
A) [latex]\frac{-23}{30}[/latex]
B) [latex]\frac{3}{23}[/latex]
C) [latex]\frac{-1}{30}[/latex]
D) [latex]\frac{1}{16}[/latex]
Answer:
A) [latex]\frac{-23}{30}[/latex]

Question 62.
[latex]\frac{3}{8}+\frac{-2}{5}+\frac{7}{8}-\frac{4}{5}[/latex] = ………………….
A) [latex]\frac{1}{3}[/latex]
B) [latex]\frac{1}{20}[/latex]
C) [latex]\frac{-1}{4}[/latex]
D) [latex]\frac{-1}{20}[/latex]
Answer:
B) [latex]\frac{1}{20}[/latex]

Question 63.
If we subtract [latex]\frac{3}{5}[/latex] from [latex]\frac{7}{20}[/latex] we get …………………
A) [latex]\frac{-1}{4}[/latex]
B) [latex]\frac{1}{4}[/latex]
C) [latex]\frac{-1}{2}[/latex]
D) [latex]\frac{2}{7}[/latex]
Answer:
A) [latex]\frac{-1}{4}[/latex]

Question 64.
The sum of two Rational numbers is [latex]\frac{1}{2}[/latex] and one of the numbers is [latex]\frac{-8}{19}[/latex] then the second number is ………………
A) [latex]\frac{1}{4}[/latex]
B) [latex]\frac{3}{31}[/latex]
C) [latex]\frac{5}{38}[/latex]
D) [latex]\frac{35}{38}[/latex]
Answer:
D) [latex]\frac{35}{38}[/latex]

Question 65.
How much can be added to -2 to get [latex]\frac{7}{9}[/latex]?
A) [latex]\frac{25}{9}[/latex]
B) [latex]\frac{5}{9}[/latex]
C) [latex]\frac{1}{4}[/latex]
D) [latex]\frac{1}{9}[/latex]
Answer:
A) [latex]\frac{25}{9}[/latex]

Question 66.
4 – (2[latex]\frac{2}{3}[/latex] + 3[latex]\frac{1}{5}[/latex]) = ………………..
A) [latex]\frac{-2}{15}[/latex]
B) [latex]\frac{-28}{15}[/latex]
C) [latex]\frac{8}{15}[/latex]
D) [latex]\frac{1}{2}[/latex]
Answer:
B) [latex]\frac{-28}{15}[/latex]

Question 67.
[latex]\frac{2}{3}[/latex] × [latex]\frac{-5}{6}[/latex] = ………………….
A) [latex]\frac{-1}{9}[/latex]
B) [latex]\frac{1}{2}[/latex]
C) [latex]\frac{-5}{9}[/latex]
D) [latex]\frac{5}{3}[/latex]
Answer:
C) [latex]\frac{-5}{9}[/latex]

Question 68.
[latex]\frac{7}{9}[/latex] × 1[latex]\frac{1}{2}[/latex] × 8[latex]\frac{1}{17}[/latex] × ([latex]\frac{1}{2}-\frac{1}{2}[/latex]) = ………………….
A) [latex]\frac{1}{189}[/latex]
B) [latex]\frac{1}{24}[/latex]
C) 0
D) [latex]\frac{1}{6}[/latex]
Answer:
C) 0

Question 69.
[latex]\left(\left(\frac{5}{9}\right)^{-1}\right)^{-1}[/latex] = ………………….
A) [latex]\frac{5}{9}[/latex]
B) [latex]\frac{9}{5}[/latex]
C) [latex]\frac{-1}{9}[/latex]
D) [latex]\frac{5}{81}[/latex]
Answer:
A) [latex]\frac{5}{9}[/latex]

Question 70.
([latex]\frac{1}{-8}[/latex])^-1 = …………………..
A) 4
B) 1
C) 8
D) -8
Answer:
D) -8

Question 71.
x = [latex]\frac{-1}{5}[/latex] y = [latex]\frac{2}{7}[/latex] then xy = ………………..
A) [latex]\frac{1}{10}[/latex]
B) [latex]\frac{1}{9}[/latex]
C) [latex]\frac{1}{35}[/latex]
D) [latex]\frac{-2}{35}[/latex]
Answer:
D) [latex]\frac{-2}{35}[/latex]

Question 72.
The multiplicative inverse of [latex]\frac{-2}{7} \times \frac{-17}{15}[/latex] is …………………
A) [latex]\frac{105}{34}[/latex]
B) [latex]\frac{15}{34}[/latex]
C) [latex]\frac{115}{27}[/latex]
D) [latex]\frac{105}{3}[/latex]
Answer:
A) [latex]\frac{105}{34}[/latex]

Question 73.
[latex]\frac{16}{35}[/latex] ÷ [latex]\frac{3}{7}[/latex] = ………………..
A) [latex]\frac{7}{3}[/latex]
B) [latex]\frac{6}{17}[/latex]
C) [latex]\frac{1}{15}[/latex]
D) [latex]\frac{16}{15}[/latex]
Answer:
D) [latex]\frac{16}{15}[/latex]

Question 74.
If we ([latex]\frac{-5}{6}[/latex]) is multiply by …………….. we get the product as [latex]\frac{8}{9}[/latex]
A) [latex]\frac{1}{4}[/latex]
B) [latex]\frac{-16}{15}[/latex]
C) [latex]\frac{9}{7}[/latex]
D) [latex]\frac{6}{7}[/latex]
Answer:
B) [latex]\frac{-16}{15}[/latex]

Question 75.
[latex]\frac{1}{2}[/latex] × ([latex]\frac{-2}{3}+\frac{1}{4}[/latex]) = ………………….
A) 1
B) 4
C) 5
D) none
Answer:
D) none

Question 76.
[latex]\left|\frac{1}{2}-\frac{1}{2}\right|[/latex] = …………………
A) [latex]\frac {-1}{2}[/latex]
B) 1
C) 0
D) [latex]\frac {1}{2}[/latex]
Answer:
C) 0

Question 77.
4[latex]\frac{2}{7}[/latex] ÷ 2[latex]\frac{2}{5}[/latex] = …………………..
A) 1[latex]\frac{11}{14}[/latex]
B) 1[latex]\frac{1}{7}[/latex]
C) 12[latex]\frac{3}{4}[/latex]
D) 11[latex]\frac{1}{7}[/latex]
Answer:
A) 1[latex]\frac{11}{14}[/latex]

Question 78.
Thecostof 5[latex]\frac{2}{5}[/latex] litres of milk is ₹ 101[latex]\frac{1}{4}[/latex] then find the cost of 1 litre.
A) ₹ 9[latex]\frac{1}{2}[/latex]
B) ₹ 6[latex]\frac{1}{2}[/latex]
C) ₹ 8[latex]\frac{1}{2}[/latex]
D) ₹ 18[latex]\frac{3}{4}[/latex]
Answer:
D) ₹ 18[latex]\frac{3}{4}[/latex]

Question 79.
If we multiply 7[latex]\frac{5}{9}[/latex] by [latex]\frac{3}{2}[/latex] we get ………………..
A) 1[latex]\frac{1}{3}[/latex]
B) 11[latex]\frac{1}{3}[/latex]
C) 7[latex]\frac{1}{2}[/latex]
D) 1[latex]\frac{1}{2}[/latex]
Answer:
B) 11[latex]\frac{1}{3}[/latex]

Question 80.
3[latex]\frac{1}{5}[/latex] – [latex]\frac{1}{5}[/latex] + 1 = ……………….
A) 7
B) 3
C) 4
D) 5
Answer:
C) 4

Question 81.
[latex]\frac{13}{14}+\frac{27}{35}[/latex] = ………………….
A) 1[latex]\frac{7}{10}[/latex]
B) 2[latex]\frac{7}{31}[/latex]
C) 1[latex]\frac{1}{4}[/latex]
D) 1[latex]\frac{1}{35}[/latex]
Answer:
A) 1[latex]\frac{7}{10}[/latex]

Question 82.
[latex]\frac{5}{9}-\frac{7}{12}+\frac{1}{2}[/latex] = ………………
A) [latex]\frac{7}{36}[/latex]
B) [latex]\frac{17}{36}[/latex]
C) [latex]\frac{1}{2}[/latex]
D) [latex]\frac{9}{7}[/latex]
Answer:
B) [latex]\frac{17}{36}[/latex]

Question 83.
[latex]\frac{4}{5}[/latex] the of 1 hour = ………………..minutes.
A) 48
B) 84
C) 42
D) 13
Answer:
A) 48

Question 84.
The measurements of a rectangular park are 41[latex]\frac{2}{3}[/latex] m and 18[latex]\frac{3}{5}[/latex] m then the area = ……………… m².
A) 114
B) 192
C) 775
D) 275
Answer:
C) 775

Question 85.
[latex]\frac{\mathbf{a}}{\mathbf{y}-\mathbf{z}}=\frac{\mathbf{b}}{\mathbf{z}-\mathbf{x}}=\frac{\mathbf{c}}{\mathbf{x}-\mathbf{y}}[/latex] = then ax + by + cz = ………………
A) -a
B) – b
C) 0
D) -1
Answer:
C) 0

Question 86.
2a + (-2a) = ……………….
A) – 4a
B) – 4a²
C) – a
D) 0
Answer:
D) 0

Question 87.
x² × = [latex]\frac{1}{x^{2}}[/latex] ……………… (x ≠ 0) = …………………
A) x²
B) x
C) x⁴
D) 1
Answer:
D) 1

Question 88.
-2 – [latex]\frac{1}{2}+\frac{1}{2}[/latex] – 7 = ………………..
A) – 9
B) 9
C) 7
D) 16
Answer:
A) – 9

Question 89.
[latex]\frac{25}{16}[/latex] = …………………
A) 1.6521
B) 2.532
C) 1.5625
D) 10.56
Answer:
C) 1.5625

Question 90.
4.[latex]\overline{\mathbf{7}}[/latex] = ………………..
A) [latex]\frac{43}{9}[/latex]
B) [latex]\frac{9}{4}[/latex]
C) [latex]\frac{12}{31}[/latex]
D) [latex]\frac{47}{10}[/latex]
Answer:
A) [latex]\frac{43}{9}[/latex]

Question 91.
The natural number 5 can be written as …………………
A) [latex]\frac{10}{2}[/latex]
C) [latex]\frac{50}{10}[/latex]
B) [latex]\frac{15}{3}[/latex]
D) All the above
Answer:
D) All the above

Question 92.
(2 – 3) – 2 = ………………..
A) 3
B) – 3
C) – 4
D) 6
Answer:
B) – 3

Question 93.
[latex]\left(\frac{1}{2}-\frac{3}{4}\right)-\left(\frac{-5}{4}\right)[/latex] = ………………..
A) 0
B) 1
C) – 1
D) 4
Answer:
B) 1

Question 94.
– [latex]\frac {1}{2}[/latex] = 3
A) [latex]\frac {3}{2}[/latex]
B) 4
C) 3
D) 3[latex]\frac {1}{2}[/latex]
Answer:
D) 3[latex]\frac {1}{2}[/latex]

Question 95.
(b – c) a = …………………….
A) ab – c
B) ac – ba
C) ba – ca
D) b – ac
Answer:
C) ba – ca

Question 96.
A rational number between a and b is …………………
A) [latex]\frac{a+b}{2}[/latex]
B) ab
C) [latex]\sqrt{a b}[/latex]
D) [latex]\frac{b}{2}[/latex] – a
Answer:
A) [latex]\frac{a+b}{2}[/latex]

Question 97.
[latex]\frac{5}{-22}+\frac{13}{33}[/latex] = ………………..
A) [latex]\frac{3}{8}[/latex]
B) [latex]\frac{1}{9}[/latex]
C) [latex]\frac{1}{2}[/latex]
D) [latex]\frac{1}{6}[/latex]
Answer:
D) [latex]\frac{1}{6}[/latex]

Question 98.
The perimeter of given figure is………………
AP 8th Class Maths Bits Chapter 1 Rational Numbers with Answers 3
A) [latex]\frac{110}{9}[/latex]
B) [latex]\frac{17}{32}[/latex]
C) [latex]\frac{177}{20}[/latex]
D) [latex]\frac{190}{41}[/latex]
Answer:
C) [latex]\frac{177}{20}[/latex]

Question 99.
The sum of two rational numbers is -7 the second number is [latex]\frac{-15}{7}[/latex] then the second number is …………………
A) 1
B) 4
C) -1
D) none
Answer:
D) none

Question 100.
If we multiply the addition of [latex]\frac{91}{12}[/latex] and [latex]\frac{11}{3}[/latex] with their difference we get ……………………
A) [latex]\frac{111}{40}[/latex]
B) [latex]\frac{135}{47}[/latex]
C) [latex]\frac{119}{13}[/latex]
D) [latex]\frac{35}{47}[/latex]
Answer:
B) [latex]\frac{135}{47}[/latex]

AP 10th Class Maths Bits Chapter 14 Statistics with Answers

September 1, 2021

Practice the AP 10th Class Maths Bits with Answers Chapter 14 Statistics on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 10th Class Maths Bits 14th Lesson Statistics with Answers

Question 1.
The mode of the values sin 0°, cos 0°, sin 90° and tan 45° is
A) 0
B) √3
C) 1
D) [latex][/latex]
Answer:
C) 1

Question 2.
Match the following.
Set – A
1. If the median of [latex]\frac{x}{5}, \frac{x}{3}, \frac{x}{4}[/latex] is 5, then x =………………
2. Mean of the scores 1 – x, 1, x + 1 is …………………
3. If the mode of x, [latex]\frac{x}{2}, \frac{x}{2}, \frac{x}{3}, \frac{x}{3}, \frac{x}{3}[/latex] is 5, then x = …………………

Set – B
(P) 15
(q) 20
(r) 1
A) 1 → r, 2 → p, 3 → q
B) 1 → q, 2 → r, 3 → p
C) 1 → q, 2 → p, 3 → r
D) 1 → p, 2 → r, 3 → q
Answer:
B) 1 → q, 2 → r, 3 → p

Question 3.
Median of the scores 1, 3, 5, 7, 9, …………………… 99 is …………………..
A) 51
B) 50
C) 49
D) 48
Answer:
B) 50

Question 4.
Which one of the following is NOT a measure of central tendency ?
A) Mean
B) Median
C) Range
D) Mode
Answer:
C) Range

Question 5.
For the terms, x + 1, x + 2, x – 1, x + 3 and x – 2(x ∈ N), if the median of the data is 12, then x = ………………….
A) 9
B) 10
C) 11
D) 13
Answer:
C) 11

Question 6.
3, 2, 4, 3, 5, 2, x, 6. If the mode of this data is 3, then x = ………………..
A) 4
B) 3
C) 2
D) 5
Answer:
B) 3

Question 7.
Median of 2, 3, 4, 5, 6, 7 is ……………….
A) 2
B) 5.5
C) 5
D) 4.5
Answer:
D) 4.5

Question 8.
To elect the leader of your class from 3 contestants, which of the following measures are to be considered ?
A) Mean
B) Mode
C) Median
D) Range
Answer:
B) Mode

Question 9.
From the given graph of Ogives, median is ………………..
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 1
A) 15
B) 10
C) 40
D) 20
Answer:
C) 40

Question 10.
Mid values are used to find
A) mean
B) median
C) mode
D) range
Answer:
A) mean

Question 11.
The mean df first five prime numbers is
A) 4
B) 4.6
C) 5.6
D) 5
Answer:
C) 5.6

Question 12.
Median of the data 6, 10, 20, x, 12, 14 is 12, then x =
A) 6
B) 10
C) 4
D) 14
Answer:
B) 10

Question 13.
The A.M of a + 2, a, a – 2 is ……………….
A) a + 2
B) a
C) a – 2
D) 3a
Answer:
B) a

Question 14.
The midvalue of the class 10 – 19 is ………………….
A) 24.5
B) 20.5
C) 23.5
D) 14.5
Answer:
D) 14.5

Question 15.
Cumulative frequency are used in ……………… calculations.
A) A.M.
B) median
C) range
D) mode
Answer:
B) median

Question 16.
While drawing ogive curve we take on X-axis and Y-axis the following respectively.
A) class interval, frequency
B) lower boundary, upper boundary
C) boundaries, cumulative frequency
D) upper boundary, lower boundary
Answer:
C) boundaries, cumulative frequency

Question 17.
The mean of 10 observations is 16.3. By an error, one observation is registered as 32 instead of 23, the correct mean is …………………..
A) 16.1
B) 18.5
C) 15.4
D) 14.8
Answer:
C) 15.4

Question 18.
The mean of data is. 10. If each observation is multiplied by 2 and 1 is subtracted from each result, the mean of the new observation is ………………..
A) 21
B) 19
C) 9
D) 10
Answer:
B) 19

Question 19.
The mean of 1, 3, 4, 5, 7, 4 is m. The numbers 3, 2, 2, 4, 3, 3, p have mean m – 1 and median q, then p + q = …………………..
A) 4
B) 3
C) 6
D) 7
Answer:
D) 7

Question 20.
If the median of the data : 24, 25, 26, x + 2, x + 3, 30, 31, 34 is 27.5, then (Data in the ascending order) is ………………..
A) 27
B) 25
C) 28
D) 30
Answer:
B) 25

Question 21.
Constructing of a cumulative frequency table is useful in finding………………..
A) median
B) mean
C) mode
D) mean, median, mode
Answer:
A) median

Question 22.
The abscissa of the point of inter section of less than type and more than type ogive curves gives ………………….
A) median
B) mean
C) mode
D) standard deviation
Answer:
A) median

Question 23.
The mode of data 3, 3, 4, 5, 3, 5, 6, 3, 7, 9, 11, 7
A) 3
B) 7
C) 3 or 7
D) does not exist
Answer:
A) 3

Question 24.

In the above distribution the modal class is
A) 10-20
B) 20-30
C) 30-40
D) 40-50
Answer:
C) 30-40

Question 25.
The mean of n observations X₁, X₂, ………………., X_n repeated f₁, f₂, …………….., f_n times respectively is
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 3
D) None
Answer:

Question 26.
The sum of lower limit of median class and upper limit of model class is
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 5
A) 60
B) 40
C) 90
D) 50
Answer:
B) 40

Question 27.
A data has 13 observations arranged in descending order. Which observation presents the median of the data ?
A) 17th
B) 6th
C) 7th
D) None
Answer:
C) 7th

Question 28.
Cummulative frequency is used to calculate
A) median
B) mode
C) mean
D) None
Answer:
A) median

Question 29.
Under the usual notations the formula for calculating mode for grouped frequency distribution is
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 6
Answer:

Question 30.
Themean of a + 1,a + 3,a + 4 and a + 8 is
A) a + 7
B) a + 4
C) a – 3
D) None
Answer:
C) a – 3

Question 31.
If 5 is added to each and every item of a data, then the arithmetic mean is
A) 5 times to the first arithmetic mean
B) increased by 5 to the first arithmetic mean
C) equal to the first arithmetic mean
D) None
Answer:
B) increased by 5 to the first arithmetic mean

Question 32.
The median of 24, 20, 32, 18, 28, 16, 25 is
A) 18
B) 16
C) 24
D) 32
Answer:
C) 24

Question 33.
The median of the following distribution is
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 8
A) 23.75
B) 23.25
C) 25.125
D) None
Answer:
C) 25.125

Question 34.
For the data 9, 8, 7, 7, 6, 3, 7, 2, 1, 7, 9 the mode is
A) 9
B) 7
C) 3
D) 2
Answer:
B) 7

Question 35.
The modal class of following distribution is
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 9
A) 1 – 3
B) 3 – 5
C) 5 – 7
D) None
Answer:
B) 3 – 5

Question 36.
The arithmetic mean of 12, 15, 13, 20, 25 is
A) 17
B) 20
C) 18
D) None
Answer:
A) 17

Question 37.
The width of the class in the distribution having class intervals 1 – 20, 21 – 40,41 – 60 is
A) 19
B) 19.5
C) 20
D) 20.5
Answer:
C) 20

Question 38.
The arithmetic mean of the following data is
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 10
A) 18.4
B) 19.4
C) 12.4
D) 15.4
Answer:
D) 15.4

Question 39.
If mean = 44 and median = 42, then mode =
A) 34
B) 36
C) 38
D) 40
Answer:
C) 38

Question 40.
Which of the following is more consistent ?
A) AM
B) Median
C) Mode
D) None
Answer:
A) AM

Question 41.
The mode of 5, [latex]\frac{x}{2}[/latex], 6,7, [latex]\frac{x}{2}[/latex], 3, [latex]\frac{x}{2}[/latex] is 9. Then the value of x is
A) 3
B) 4.5
C) 2
D) 18
Answer:
B) 4.5

Question 42.
Find the mean of the marks of the students from the given table :
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 11
A) 20
B) 25
C) 15
D) 10
Answer:
C) 15

Question 43.
The median of the grouped data can be calculated using the formula
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 12
Answer:

Question 44.
The median of 5, 3, 10, 7, 2, 9, 11, 2 is
A) 6
B) 5
C) 7
D) 2
Answer:
C) 7

Question 45.
The median of 5, 6, 9,10, 8,4, 3, 7,11 is
A) 8
B) 7
C) 9
D) 6
Answer:
D) 6

Question 46.
If the Arithmetic mean of 8, 6,4, x, 3, 6, 0 is 4; then the value of x = ……………..
A) 7
B) 6
C) 1
D) 4
Answer:
C) 1

Question 47.
Extreme values in the data affect …………………
A) Arithmetic mean
B) Median
C) Mode
D) Range
Answer:
A) Arithmetic mean

Question 48.
Which of the following is NOT a measure of central tendency ?
A) Range
B) Mode
C) Median
D) Mean
Answer:
A) Range

Question 49.
Length of the class 11-20 is ………………
A) 9
B) 10
C) 11
D) 20
Answer:
B) 10

Question 50.
In “More than Ogive curve”, we consider in drawing ……………………
A) more than cumulative frequency, lower limits
B) more than cumulative frequency, upper limits
C) less than cumulative frequency, lower limits
D) less than cumulative frequency, upper limits
Answer:
A) more than cumulative frequency, lower limits

Question 51.
Observe the following tables :
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 14
For finding Arithmetic Mean by Direct method, the suggested frequency distribution table is ………………..
A) Only (1) is true
B) Only (2) is true
C) (1) and (2) are true
D) None of the above
Answer:
A) Only (1) is true

Question 52.
Median = l + [latex]\left[\frac{\left(\frac{n}{2}-c f\right)}{f}\right][/latex] h, where cf = ………………….
A) Cumulative frequency of the class preceding the median class.
B) Cumulative frequency of the median class.
C) Cumulative frequency of the class succeeding the median class.
D) Sum of the frequencies.
Answer:
A) Cumulative frequency of the class preceding the median class.

Question 53.
Observe the following graphs.
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 15
Which of the above given figures represents ‘less than’ Ogive curve ?
A) Only (1) is true
B) Only (2) is true
C) Both (1) and (2) are true
D) None of these
Answer:
B) Only (2) is true

Question 54.
Range of first 5 natural numbersds
A) 0
B) 4
C) 5
D) 9
Answer:
B) 4

Question 55.
Class interval of 1 – 10 is
A) 8
B) 12
C) 11
D) 10
Answer:
D) 10

Question 56.
In a data maximum value = x; minimum value = y. Then range
A) x + y
B) x – 1
C) x – y
D) x + 1
Answer:
C) x – y

Question 57.
Mid value of the class 10 – 20 is
A) 15
B) 13
C) 12
D) 10
Answer:
A) 15

Question 58.
The class interval of the classes 0 – 7, 7 – 14,14 – 21 ………………….etc.,is
A) 0
B) 7
C) 9
D) 8
Answer:
B) 7

Question 59.
The mean of a – 2, a, a + 2 is …………………
A) 3a
B) [latex]\frac{\mathrm{a}}{3}[/latex]
C) 1
D) a
Answer:
D) a

Question 60.
The sum of all deviations taken from Mean =
A) 0
B) -1
C) 1
D) 2
Answer:
A) 0

Question 61.
A data arranged in descending order has 25 observations. Which observation represents the median ?
A) 15^th
B) 14^th
C) 13^th
D) 12^th
Answer:
C) 13^th

Question 62.
The median of 3, 6, 1, 16, 8, 12 is …………………
A) 12
B) 6
C) 9
D) 8
Answer:
B) 6

Question 63.
Mode of the data 1, 1, 1, 1, 5, 5, 5, 5 is …………………….
A) 5
B) 1
C) 3
D) doesn’t exist
Answer:
D) doesn’t exist

Question 64.
Mean of 3, 5, 0, x, 11 is 7, then x =
A) 3
B) 4
C) 7
D) 5
Answer:
C) 7

Question 65.
Range = 25; Maximum value = 30, then the Minimum value is ………………….
A) 9
B) 8
C) 5
D) 7
Answer:
C) 5

Question 66.
The sum of 12 observations is 240, then mean is ……………….
A) 10
B) 12
C 16
D) 20
Answer:
D) 20

Question 67.
If the mean and mode of a grouped data is 24 and 26.5 respectively then the median is …………………
A) 24. 38
B) 24. 83
C) 23. 48
D) 23. 84
Answer:
B) 24. 83

Question 68.
The median of the ungrouped data 2, 12, 7, 5, 10 and 6 is
A) 5.5
B) 6
C) 13
D) 6.5
Answer:
D) 6.5

Question 69.
Median = 52.5; Mean = 54 then mode
A) 49.5
B) 48.5
C) 40. 5
D) 60.1
Answer:
A) 49.5

Question 70.
Mode = 24.5, Mean = 29.75, then Median = ………………….
A) 28
B) 16
C) 20
D) 82
Answer:
A) 28

Question 71.
Σ f (x) = 200; n = 20, then [latex]\overline{\mathbf{x}}[/latex] =
A) 29
B) 20
C) 16
D) 10
Answer:
D) 10

Question 72.
The AM of 10 numbers is 20, AM of 30 numbers is 60. AM of combined data is ………………………
A) 40
B) 12
C) 13
D) 50
Answer:
D) 50

Question 73.
Mean of 8, 6, 4, x, 3, 6, 0 is 4, then x =
A) 0
B) 1
C) 4
D) 14
Answer:
B) 1

Question 74.
Mean of -3, -2, -1,0, 1, 2, 3 is
A) 0
B) -1
C) -2
D) 3
Answer:
A) 0

Question 75.
The median of 8, 10, 4, 3, 2, 11, 1 is
A) 4
B) 3
C) 7
D) 8
Answer:
A) 4

Question 76.
The median of scores x₁, x₂ and 2x₁, is 6 and x₁ < 2x₁ < x₂ then x₁ = ………………….
A) 7
B) 13
C) 3
D) 6
Answer:
C) 3

Question 77.
The range of first n natural numbers is …………………
A) n + 1
B) n – 1
C) n
D) 2n -1
Answer:
B) n – 1

Question 78.
Median of 1 to 9 natural numbers is …………………
A) 5
B) 6
C) 7
D) 4
Answer:
A) 5

Question 79.
Median of [latex]\frac{3}{4}, \frac{1}{2}, \frac{2}{3}, \frac{1}{6}, \frac{7}{12}[/latex] is
A) [latex]\frac{2}{7}[/latex]
B) [latex]\frac{7}{9}[/latex]
C) [latex]\frac{7}{12}[/latex]
D) [latex]\frac{2}{3}[/latex]
Answer:
C) [latex]\frac{7}{12}[/latex]

Question 80.
Mean of a – 2d, a – d, a + d and a + 2d is
A) -a
B) 3a
C) a
D) 5a
Answer:
C) a

Question 81.
The mean of first 5 odd multiples of 5 is
A) 15
B) 20
C) 25
D) 35
Answer:
C) 25

Question 82.
The mean of 10 numbers is 7. The mean of 15 numbers is 12 then the mean of all observations is ……………………
A) 9
B) 10
C) 12
D) 11
Answer:
B) 10

Question 83.
Mode of 2004, 2005, 2006, ………………… 2015 is ………………….
A) 2004
B) 2015
C) 2009
D) no mode
Answer:
D) no mode

Question 84.
The sum of the lower limit and upper limit of the modal class from the above distribution table.
A) 90
B) 110
C) 70
D) 50
Answer:
C) 70

Question 85.
Mean of first ‘n’ natural numbers is ……………………
A) n
B) [latex]\frac{\mathrm{n}}{2}[/latex]
C) [latex]\frac{\mathrm{n}-1}{2}[/latex]
D) [latex]\frac{n+1}{2}[/latex]
Answer:
D) [latex]\frac{n+1}{2}[/latex]

Question 86.
The mean of a data is 9. If each observation is multiplied by 3 and then 1 is added to each result, then the mean of new observation is…………………….
A) 19
B) 20
C) 28
D) 30
Answer:
C) 28

Question 87.
Average of 11 scores is 10.5. If one score 9 is deleted, then the average of the remaining scores is ………………….
A) 10.16
B) 10.06
C) 10.65
D) 13.6
Answer:
C) 10.65

Question 88
……………… is effected by extreme values.
A) Mean
B) Mode
C) Median
D) Mean and Median
Answer:
A) Mean

Question 89.
If each observation of data is increased by ‘a’ then mean is increases by………………….
A) a
B) [latex]\frac{a}{2}[/latex]
C) a²
D) a + 1
Answer:
A) a

Question 90.
To find median, classes should be ……………….
A) of same frequencies
B) of same length
C) continuous
D) discontinuous
Answer:
C) continuous

Question 91.
For a distribution with odd number (n) of observations, the median is ……………… observation
A) [latex]\frac{n^{\text {th }}}{2}[/latex]
B) ([latex]\frac{n+1}{2}[/latex])^th
C) [latex]\frac{n-1}{2}[/latex])^th
D) [latex]\frac{\mathrm{n}}{2}[/latex] – 1) ^th
Answer:
B) ([latex]\frac{n+1}{2}[/latex])^th

Question 92.
Mean of n – observations x₁, x₂ ……………… x_n repeated f₁, f₂ …………….. f_n times is
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 16
Answer:

Question 93.
In the class 0 – 10,10 – 20,20 – 30,30 – 40 ……………….. lower limit of 10 – 20 is
A) 10
B) 20
C) 30
D) 15
Answer:
A) 10

Question 94.
Which of the following is not a measure of central tendency ?
A) Mean
B) Range
C) Mode
D) Median
Answer:
B) Range

Question 95.
Which of the following is same as representative of the whole class ?
A) Lower limit
B) Length of the class
C) Upper limit
D) Midpoint
Answer:
D) Midpoint

Question 96.
The information collected is called
A) Data
B) Mean
C) Median
D) Mode
Answer:
A) Data

Question 97.
Which of the following measures do you use to find average of marks obtained by a student in the class
A) Mean
B) Median
C) Mode
D) Range
Answer:
A) Mean

Question 98.
For a symmetrical distribution, which is correct ?
A) Mean > Median > Mode
B) Mean < Median < Mode
C) Mean = Median = Mode
D) [latex]\frac{\text { Mean }+\text { Median }}{2}[/latex] = Mode
Answer:
C) Mean = Median = Mode

Question 99.
For a continuous grouped frequency distribution, the median is given by
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 18
Answer:

Question 100
For a distribution with even number (n) of observations the median is ……………… terms.
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 20
Answer:

Question 101.
Mode of a continuous grouped distribution is
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 22
Answer:

Question 102.
If x_i and f_i are sufficiently small, then which method is an appropriate choice to find mean
A) Assumed – Mean method
B) Step deviation method
C) Direct method
D) Class interval method
Answer:
C) Direct method

Question 103.
If assumed mean is ‘a’, then mean =
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 24
Answer:

Question 104.
In the formula of Mode in the grouped data ‘l’ represents
A) lower limit of the class with highest frequency
B) lower limit of the class with lowest frequency
C) upper boundary of the class with highest frequency
D) lower boundary of the class with low frequency
Answer:
A) lower limit of the class with highest frequency

Question 105.
………………… of all bars is same in bargraph.
A) Length
B) Width
C) Circle
D) Height
Answer:
B) Width

Question 106.
In the formula of median in the grouped data ‘l’ represents
A) upper limit of the median class
B) lower limit of the median class
C) upper boundary of the median class
D) lower boundary of the median class
Answer:
B) lower limit of the median class

Question 107.
The class mark of a class interval is
A) upper boundary + lower boundary
B) upper boundary – lower boundary
C) [latex]\frac{\text { upper boundary + lower boundary }}{2}[/latex]
D) [latex]\frac{\text { upper boundary – lower boundary }}{2}[/latex]
Answer:
C) [latex]\frac{\text { upper boundary + lower boundary }}{2}[/latex]

Question 108.
|| represents
A) 5
B) 6
C) 7
D) 10
Answer:
C) 7

Question 109
………………… is known as Father of Statistics.
A) Thales
B) Fisher
D) Cayley
D) Thompson
Answer:
B) Fisher

Question 110.
Number of items in a class interval is called
A) Range
B) Class
C) Frequency
D) Raw data
Answer:
C) Frequency

Question 111.
Mid values are used to calculate
A) Median
B) Mode
C) Mean
D) Range
Answer:
C) Mean

Question 112.
Mode is the value of variable which occurs ………….. number of times.
A) Minimum
B) Zero
C) Maximum
D) 2
Answer:
C) Maximum

Question 113.
We use ……………… to conclude which school has a better performance in an examination.
A) Median
B) Mean
C) Mode
D) Cumulative frequency
Answer:
B) Mean

Question 114.
Representing data with the help of pictures is called
A) bargraph
B) data
C) pictograph
D) line graph
Answer:
C) pictograph

Question 115.
Histograms consists of
A) circles
B) rectangles
C) sectors
D) squares
Answer:
B) rectangles

Question 116.
Pie diagram consists of
A) rectangles
B) squares
C) circles
D) sectors
Answer:
D) sectors

Question 117.
If the mean of x₁, x₂, x₃ ………………… x_n is [latex]\overline{\mathbf{x}}[/latex] then the mean of [latex]\frac{\mathbf{x}_{1}}{\mathbf{a}}, \frac{\mathbf{x}_{\mathbf{2}}}{\mathbf{a}}[/latex] ……………… [latex]\frac{\mathbf{x}_{\mathrm{n}}}{\mathrm{a}}[/latex] is
A) a . [latex]\overline{\mathbf{x}}[/latex]
B) [latex]\overline{\mathbf{x}}[/latex] – a
C) [latex]\frac{\overline{\mathbf{x}}}{\mathbf{a}}[/latex]
D) [latex]\overline{\mathbf{x}}[/latex] + a
Answer:
C) [latex]\frac{\overline{\mathbf{x}}}{\mathbf{a}}[/latex]

Question 118.
Empirical relation among Mean, Median and Mode is
A) Mode = 3 Median – 2 Mean
B) Mode = 2 Median – 3 Mean
C) Mode = 3 Median – Mean
D) Mode = Median – Mean
Answer:
A) Mode = 3 Median – 2 Mean

Question 119.
x – coordinate of point of inter-section of the cumulative frequency ogive is
A) Range
B) Median
C) Mean
D) Mode
Answer:
B) Median

Question 120.
We use ………………. to conclude average IQ (Intelligent Quotient)of a students in a class
A) Median
B) Mean
C) Mode
D) Range
Answer:
A) Median

Question 121.
Construction of cumulative frequency table is useful in determining the
A) Mean
B) Median
C) Mode
D) Range
Answer:
B) Median

Question 122.
The mean of the following data is
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 27
A) 15. 0
B) 15. 1
C) 15. 9
D) 16. 2
Answer:
B) 15. 1

Question 123.
Mode from the following data is
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 28
A) 5
B) 25
C) 15
D) 10
Answer:
C) 15

Question 124.
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 29
The mean of the above data is 3.55 then k =
A) 10
B) 12
C) 31
D) 41
Answer:
A) 10

Question 125.
The mean class of the following distribution is
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 30
A) 60 – 70
B) 50 – 60
C) 40 – 50
D) 30 – 40
Answer:
D) 30 – 40

Question 126.
For a given data with observation the ‘less than Ogive’ and ‘more than Ogive’ intersect
at (15.5, 20). The median of the data is
A) 20
B) 15.5
C) 10.5
D) 4.5
Answer:
B) 15.5

Question 127.
The modal class in the following frequency distribution is
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 31
A) 30 – 40
B) 40 – 50
C) 50 – 60
D) 20 – 30
Answer:
A) 30 – 40

Question 128.
The abscissa of the point of inter-section of the less than type and greater than type cumulative frequency curves of a grouped data gives its …………………….
A) Mean
B) Median
C) Mode
D) Range
Answer:
B) Median

Question 129.
Which of the following graph represents LCF curve
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 32
Answer:

Question 130.
Identify GCF curve from the following
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 34
Answer:

Question 131.
The adjancent figure represents ………………
AP 10th Class Maths Bits Chapter 14 Statistics with Answers 36
A) Histogram
B) Pie chart
C) Picto graph
D) Range
Answer:
A) Histogram

Question 132.
In a pie chart we communicate the data with the figures which are in the form of …………………….
A) Circles
B) Sectors
C) Lines
D) Rectangles
Answer:
B) Sectors

Question 133.
Which of the following is difficult to construct always ?
A) Pie chart
B) Bar graph
C) Range
D) Picto graph
Answer:
D) Picto graph

AP 10th Class Maths Bits Chapter 13 Probability with Answers

August 31, 2021

Practice the AP 10th Class Maths Bits with Answers Chapter 13 Probability on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 10th Class Maths Bits 13th Lesson Probability with Answers

Question 1.
If P(E) = 0.09, then P (not E) in percentage is …………………
A) 9.1%
B) 91%
C) 0.91%
D) 0.091%
Answer:
B) 91%

Question 2.
Let E and [latex]\overline{\mathbf{E}}[/latex] be the complementary events. If P([latex]\overline{\mathbf{E}}[/latex]) = 0.65, then P(E) = ……………….
A) 0.40
B) 0.45
C) 0.35
D) 0.30
Answer:
C) 0.35

Question 3.
Which of the following cannot be the probability of an event ?
A) 0.2
B) [latex]\frac {2}{5}[/latex]
C) 0.72
D) 1.[latex]\overline{3}[/latex]
Answer:
D) 1.[latex]\overline{3}[/latex]

Question 4.
Which of the following situations have equally likely events ?
1) Getting 1 or 2 or 3 or 4 or 5 or 6 when a dice is rolled.
2) Winning or loosing a game.
3) Head or Tail, when a coin is tossed.
A) 1 and 2
B) 2 and 3
C) 1 and 3
D) All
Answer:
D) All

Question 5.
The probability of picking a letter from the set of English alphabets is [latex]\frac {5}{26}[/latex] .
That alphabet can be ………………….
A) consonant
B) vowel
C) any alphabet
D) none
Answer:
B) vowel

Question 6.
Probability of getting 7, when a dice is rolled, is ………………..
A) [latex]\frac{1}{6}[/latex]
B) [latex]\frac{1}{7}[/latex]
C) [latex]\frac{6}{7}[/latex]
D) 0
Answer:
D) 0

Question 7.
If P(E) = 0.26, then P([latex]\overline{\mathbf{E}}[/latex]) = ………………..
A) 0.74
B) 0
C) 0.26
D) 1
Answer:
A) 0.74

Question 8.
If a die is rolled, then the probability of getting a prime number is …………………..
A) [latex]\frac{2}{5}[/latex]
B) [latex]\frac{1}{3}[/latex]
C) [latex]\frac{1}{2}[/latex]
D) [latex]\frac{1}{6}[/latex]
Answer:
C) [latex]\frac{1}{2}[/latex]

Question 9.
At what value of ‘x’, [latex]\frac{5}{x}[/latex] may be possible probability of an event ?
A) 2
B) 1
C) 4
D) 6
Answer:
D) 6

Question 10.
On random selection, the probability of getting a composite number among the numbers from 51 to 100.
A) [latex]\frac{4}{5}[/latex]
B) [latex]\frac{1}{5}[/latex]
C) [latex]\frac{3}{5}[/latex]
D) [latex]\frac{2}{5}[/latex]
Answer:
A) [latex]\frac{4}{5}[/latex]

Question 11.
Probability of impossible event is …………………
A) 0
B) 1
C) 1.0 (or) 0.5
D) 0.5
Answer:
A) 0

Question 12.
From the 50 cards numbered from 1 to 50, a card is drawn at random, then the probability that the number on the card is divisible by 8 is
A) [latex]\frac{1}{10}[/latex]
B) [latex]\frac{2}{15}[/latex]
C) [latex]\frac{1}{20}[/latex]
D) [latex]\frac{3}{25}[/latex]
Answer:
D) [latex]\frac{3}{25}[/latex]

Question 13.
If a dice is rolled, then the probability of getting an even number is
A) [latex]\frac{1}{6}[/latex]
B) [latex]\frac{1}{3}[/latex]
C) [latex]\frac{1}{2}[/latex]
D) [latex]\frac{2}{5}[/latex]
Answer:
C) [latex]\frac{1}{2}[/latex]

Question 14.
Probability of sure event is …………………..
A) 0
B) -1
C) +1
D) ∞
Answer:
C) +1

Question 15.
Which one of the following cannot be the probability of an event?
A) 0.3
B) -1.5
C) 15%
D) 0.7
Answer:
B) -1.5

Question 16.
When two coins tossed simultaneously, the probability of getting at least one head is……………………
A) 1
B) [latex]\frac {1}{2}[/latex]
C) [latex]\frac {1}{4}[/latex]
D) [latex]\frac {3}{4}[/latex]
Answer:
D) [latex]\frac {3}{4}[/latex]

Question 17.
The probability of any given day in the month of May not being a Monday if the 1st day of May is a Monday is …………………
A) [latex]\frac{1}{2}[/latex]
B) [latex]\frac{31}{6}[/latex]
C) [latex]\frac{26}{31}[/latex]
D) [latex]\frac{5}{31}[/latex]
Answer:
C) [latex]\frac{26}{31}[/latex]

Question 18.
Three unbiased coins are tosseed. The probability of getting at most two heads is ………………
A) [latex]\frac{3}{8}[/latex]
B) [latex]\frac{1}{2}[/latex]
C) [latex]\frac{3}{4}[/latex]
D) [latex]\frac{7}{8}[/latex]
Answer:
D) [latex]\frac{7}{8}[/latex]

Question 19.
A box contains 12 balls out of which x are black. If 6 more black balls are put in the box, the probability of drawing a balck ball now is double of what it was before. The value of x is …………………
A) 5
B) 4
C) 3
D) 2
Answer:
C) 3

Question 20.
If K₁ ≤ P ≤ K₂ where P is probability of any event of random experiment, then the possible maximum K₂ + possible least value of K₁ is ………………..
A) 1
B) 0
C) 2
D) cannot be determined
Answer:
A) 1

Question 21.
The probability that year 2016 to have 53 Mondays is
A) [latex]\frac{1}{7}[/latex]
B) [latex]\frac{2}{7}[/latex]
C) [latex]\frac{5}{7}[/latex]
D) [latex]\frac{6}{7}[/latex]
Answer:
B) [latex]\frac{2}{7}[/latex]

Question 22.
The probability of getting score greater than 9 slove added together on faces of two dice rolled at one time.
A) [latex]\frac{5}{6}[/latex]
B) [latex]\frac{1}{6}[/latex]
C) [latex]\frac{13}{36}[/latex]
D) [latex]\frac{7}{36}[/latex]
Answer:
B) [latex]\frac{1}{6}[/latex]

Question 23.
A bag contains cards nuinbers from 11 to 30. A card is taken out the bag at random, the probability that the drawn card is a multiple of 5 on it.
A) [latex]\frac{1}{5}[/latex]
B) [latex]\frac{4}{19}[/latex]
C) [latex]\frac{3}{20}[/latex]
D) [latex]\frac{1}{18}[/latex]
Answer:
A) [latex]\frac{1}{5}[/latex]

Question 24.
When three fair coins are tossed simultaneously, the probability that at least one head appears is
A) [latex]\frac{3}{8}[/latex]
B) [latex]\frac{1}{2}[/latex]
C) [latex]\frac{5}{8}[/latex]
D) [latex]\frac{7}{8}[/latex]
Answer:
D) [latex]\frac{7}{8}[/latex]

Question 25.
A bag contains 6 red, 3 black and 6 white balls. A ball is selected at random from the bag, what is the probability that the selected ball is not red?
A) [latex]\frac{3}{5}[/latex]
B) [latex]\frac{6}{5}[/latex]
C) [latex]\frac{2}{15}[/latex]
D) [latex]\frac{1}{5}[/latex]
Answer:
A) [latex]\frac{3}{5}[/latex]

Question 26.
Under the usual notation in probability, P(E) + P ([latex]\overline{\mathbf{E}}[/latex]) =
A) 0
B) [latex]\frac {1}{2}[/latex]
C) 1
D) None
Answer:
C) 1

Question 27.
Two dice are thrown at the same time. What is the probability that the sum of the two numbers appearing on the top of the dice is 8 ?
A) [latex]\frac{31}{36}[/latex]
B) [latex]\frac{5}{36}[/latex]
C) [latex]\frac{8}{36}[/latex]
D) 1
Answer:
B) [latex]\frac{5}{36}[/latex]

Question 28.
A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random, the probability that the marble taken out will be white is ………………..
A) [latex]\frac{5}{17}[/latex]
B) [latex]\frac{8}{17}[/latex]
C) [latex]\frac{4}{17}[/latex]
D) [latex]\frac{6}{9}[/latex]
Answer:
B) [latex]\frac{8}{17}[/latex]

Question 29.
The probability of getting a head when a coin is tossed once is
A) 0
B) [latex]\frac {1}{2}[/latex]
C) [latex]\frac {1}{3}[/latex]
D) 1
Answer:
B) [latex]\frac {1}{2}[/latex]

Question 30.
Rahim takes out all the hearts from a deck of 52 cards. The probability of picking a diamond is
A) [latex]\frac{1}{13}[/latex]
B) [latex]\frac{1}{39}[/latex]
C) [latex]\frac{1}{3}[/latex]
D) [latex]\frac{1}{52}[/latex]
Answer:
C) [latex]\frac{1}{3}[/latex]

Question 31.
The probability of an impossible event is
A) 0
B) [latex]\frac{1}{2}[/latex]
C) [latex]\frac{1}{3}[/latex]
D) 1
Answer:
A) 0

Question 32.
The probability of getting 53 Fridays in a Leap year is
A) [latex]\frac{1}{7}[/latex]
B) [latex]\frac{2}{7}[/latex]
C) [latex]\frac{3}{7}[/latex]
D) [latex]\frac{4}{7}[/latex]
Answer:
B) [latex]\frac{2}{7}[/latex]

Question 33.
The set of all possible events is called
A) event
B) impossible event
C) sample space
D) None
Answer:
C) sample space

Question 34.
From a deck of 52 cards, a card is drawn atrandom then the probability of getting a red king is ………………..
A) [latex]\frac{1}{26}[/latex]
B) [latex]\frac{2}{13}[/latex]
C) [latex]\frac{3}{26}[/latex]
D) None
Answer:
A) [latex]\frac{1}{26}[/latex]

Question 35.
If P (A) = [latex]\frac{4}{15}[/latex] then P ( [latex]\overline{\mathbf{A}}[/latex] ) =
A) [latex]\frac{19}{15}[/latex]
B) [latex]\frac{11}{15}[/latex]
C) [latex]\frac{13}{15}[/latex]
D) None
Answer:
B) [latex]\frac{11}{15}[/latex]

Question 36.
Rama and Reshma are playing a chess game. If the probability of Rama winning is 0.52, then the probability of winning chess game by Reshma is
A) 1.38
B) 0.62
C) 0.48
D) 1.62
Answer:
A) 1.38

Question 37.
A number x is chosen at random from the numbers -4, -3, -2, -1,0,1,2,3,4. The probability that x < 1 is
A) [latex]\frac{1}{9}[/latex]
B) [latex]\frac{5}{9}[/latex]
C) [latex]\frac{4}{9}[/latex]
D) [latex]\frac{7}{9}[/latex]
Answer:
C) [latex]\frac{4}{9}[/latex]

Question 38.
From the letters of the word ‘MOTHER’, a letter is selected. The probability that the letter is a vowel is
A) [latex]\frac{1}{3}[/latex]
B) [latex]\frac{2}{3}[/latex]
C) [latex]\frac{3}{6}[/latex]
D) [latex]\frac{5}{6}[/latex]
Answer:
C) [latex]\frac{3}{6}[/latex]

Question 39.
The probability of getting a total of 13 when two dice and thrown at the same time is
A) [latex]\frac{1}{36}[/latex]
B) 0
C) [latex]\frac{5}{36}[/latex]
D) [latex]\frac{5}{6}[/latex]
Answer:
A) [latex]\frac{1}{36}[/latex]

Question 40.
Karishma and Reshma are playing Chess. The probability of winning Karishma is 0.59. Then probability of Reshma winning the match is …………………..
A) 1
B) 0.46
C) 0.5
D) 0.41
Answer:
D) 0.41

Question 41.
If a coin is tossed, then the probability that a head turns up is ……………………
A) [latex]\frac{1}{2}[/latex]
B) [latex]\frac{1}{4}[/latex]
C) [latex]\frac{1}{3}[/latex]
D) [latex]\frac{1}{6}[/latex]
Answer:
A) [latex]\frac{1}{2}[/latex]

Question 42.
If one side is chosen at random from the sides of a right triangle, then the probability that it is hypotenuse is ………………..
A) 2
B) 3
C) [latex]\frac{1}{3}[/latex]
D) 1
Answer:
C) [latex]\frac{1}{3}[/latex]

Question 43.
If P(E) = 0.82, then P([latex]\overline{\mathbf{E}}[/latex]) = ……………………
A) 0.18
B) 0.28
C) 0.38
D) P(E)=P( [latex]\overline{\mathbf{E}}[/latex])
Answer:
A) 0.18

Question 44.
When an unbiased die is rolled once, what is the probability of getting a prime number out of all possible outcomes ?
A) 1
B) [latex]\frac{1}{2}[/latex]
C) [latex]\frac{1}{3}[/latex]
D) [latex]\frac{1}{6}[/latex]
Answer:
B) [latex]\frac{1}{2}[/latex]

Question 45.
Probability of getting no head when 3 coins are tossed is
A) [latex]\frac{3}{2^{3}}[/latex]
B) [latex]\frac{2}{2^{3}}[/latex]
C) [latex]\frac{1}{3^{2}}[/latex]
D) [latex]\frac{1}{2^{3}}[/latex]
Answer:
D) [latex]\frac{1}{2^{3}}[/latex]

Question 46.
A sample space consists of 80 elementary events that are equally likely. Probability of each of them is
A) [latex]\frac{1}{80}[/latex]
B) 80
C) 1
D) 0
Answer:
A) [latex]\frac{1}{80}[/latex]

Question 47.
If an individual is selected at random, probability that he has a birthday in July in 2012 is
A) [latex]\frac{30}{365}[/latex]
B) [latex]\frac{31}{365}[/latex]
C) [latex]\frac{30}{366}[/latex]
D) [latex]\frac{31}{366}[/latex]
Answer:
D) [latex]\frac{31}{366}[/latex]

Question 48.
A bag contains 6 red marbles, 3 blue marbles and 7 green marbles. If a marble is randomly selected from the bag, probability that it is blue
A) [latex]\frac{3}{16}[/latex]
B) [latex]\frac{13}{16}[/latex]
C) [latex]\frac{1}{6}[/latex]
D) [latex]\frac{1}{3}[/latex]
Answer:
A) [latex]\frac{3}{16}[/latex]

Question 49.
On a multiple choice test each question has 4 possible choices. If you make a random guess probability that you are correct is
A) [latex]\frac{1}{4}[/latex]
B) 1
C) 0
D) 4
Answer:
A) [latex]\frac{1}{4}[/latex]

Question 50.
The probability of getting a perfect square number from the numbers 1 to 10 is
A) [latex]\frac{3}{11}[/latex]
B) [latex]\frac{2}{5}[/latex]
C) [latex]\frac{1}{10}[/latex]
D) [latex]\frac{3}{10}[/latex]
Answer:
D) [latex]\frac{3}{10}[/latex]

Question 51.
From the month of August, a day is selected whose firstday is Tuesday. Find the probability that the day selected is not a Tuesday
A) [latex]\frac{1}{2}[/latex]
B) [latex]\frac{31}{6}[/latex]
C) [latex]\frac{26}{31}[/latex]
D) [latex]\frac{15}{6}[/latex]
Answer:
C) [latex]\frac{26}{31}[/latex]

Question 52.
Three coins are tossed simultaneously once, find the probability of getting atleast one tail is
A) [latex]\frac{7}{8}[/latex]
B) [latex]\frac{3}{8}[/latex]
C) [latex]\frac{1}{8}[/latex]
D) [latex]\frac{5}{8}[/latex]
Answer:
A) [latex]\frac{7}{8}[/latex]

Question 53.
A box contains 90 discs numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime number less than 23 is
A) [latex]\frac{4}{17}[/latex]
B) [latex]\frac{4}{45}[/latex]
C) [latex]\frac{4}{19}[/latex]
D) [latex]\frac{1}{2}[/latex]
Answer:
B) [latex]\frac{4}{45}[/latex]

Question 54.
If a two digit number is choosen at random, what is the probability that the number choosen is a multiple of 3?
A) [latex]\frac{2}{99}[/latex]
B) [latex]\frac{1}{3}[/latex]
C) [latex]\frac{3}{10}[/latex]
D) [latex]\frac{1}{25}[/latex]
Answer:
B) [latex]\frac{1}{3}[/latex]

Question 55.
A social studies text book contains 250 pages. A page is selected at random. What is the probability that the number on the page selected is a perfect square?
A) [latex]\frac{6}{53}[/latex]
B) [latex]\frac{8}{51}[/latex]
C) [latex]\frac{3}{50}[/latex]
D) [latex]\frac{7}{50}[/latex]
Answer:
C) [latex]\frac{3}{50}[/latex]

Question 56.
A Jar contains 3 mangoes and x guavas. Two fruits are pulled from the jar without replacement. An expression that represents the probability one fruit is mango and the next fruit is guava is
A) [latex]\left(\frac{3}{x+3}\right)\left(\frac{x-1}{x+2}\right)[/latex]
B) [latex]\left(\frac{3}{x+3}\right)\left(\frac{x-1}{x-2}\right)[/latex]
C) [latex]\frac{3 \times 2}{(x+3)(x+2)}[/latex]
D) [latex]\left(\frac{3}{x+3}\right)\left(\frac{x}{x-2}\right)[/latex]
Answer:
D) [latex]\left(\frac{3}{x+3}\right)\left(\frac{x}{x-2}\right)[/latex]

Question 57.
In a lucky dip of 30 tokens Ravi purchased two tokens. Then the probability of getting the first prize is
A) [latex]\frac{2}{15}[/latex]
B) [latex]\frac{3}{30}[/latex]
C) [latex]\frac{2}{30}[/latex]
D) [latex]\frac{1}{30}[/latex]
Answer:
C) [latex]\frac{2}{30}[/latex]

Question 58.
In a simultaneous toss of two coins, the probability of atleast one head is
A) [latex]\frac{1}{4}[/latex]
B) [latex]\frac{3}{4}[/latex]
C) [latex]\frac{2}{4}[/latex]
D) [latex]\frac{1}{3}[/latex]
Answer:
B) [latex]\frac{3}{4}[/latex]

Question 59.
When a dice is rolled the probability of getting a composite number is
A) [latex]\frac{1}{3}[/latex]
B) [latex]\frac{1}{4}[/latex]
C) [latex]\frac{1}{2}[/latex]
D) [latex]\frac{1}{6}[/latex]
Answer:
A) [latex]\frac{1}{3}[/latex]

Question 60.
The event of getting a number less than or equal to 6 is a
A) base event
B) element
C) possible event
D) sure event
Answer:
D) sure event

Question 61.
Three different greeting cards and their corresponding covers are randomly strewn about on a table. If Ravi puts the greetingcardsintothecoversatrandom, the probability of correctly matching of all greeting cards and covers is
A) [latex]\frac{1}{6}[/latex]
B) [latex]\frac{2}{3}[/latex]
C) [latex]\frac{1}{9}[/latex]
D) [latex]\frac{5}{6}[/latex]
Answer:
A) [latex]\frac{1}{6}[/latex]

Question 62.
In a box there are 28 marbles of which x are green and the rest are white. If the probability of getting a green marble is 2 then the number of white marbles is
A) 20
B) 16
C) 12
D) 8
Answer:
A) 20

Question 63.
If one side is chosen at random from the sides of a right triangle, then the probability that it is hypotenuse is
A) [latex]\frac {1}{2}[/latex]
B) [latex]\frac {1}{3}[/latex]
C) 2
D) 3
Answer:
B) [latex]\frac {1}{3}[/latex]

Question 64.
The probability of raining in a day is
A) [latex]\frac {1}{4}[/latex]
B) [latex]\frac{-1}{4}[/latex]
C) [latex]\frac{-1}{2}[/latex]
D) [latex]\frac {1}{2}[/latex]
Answer:
D) [latex]\frac {1}{2}[/latex]

Question 65.
There are 50 cards numbered from 1 to 50. A card is drawn at random. Then the probability that the number on the card is divisible by 8 is
A) [latex]\frac{4}{19}[/latex]
B) [latex]\frac{19}{4}[/latex]
C) [latex]\frac{3}{25}[/latex]
D) [latex]\frac{25}{3}[/latex]
Answer:
C) [latex]\frac{3}{25}[/latex]

Question 66.
In a single throw of two dice the probability of getting distinct numbers is
A) [latex]\frac{4}{36}[/latex]
B) [latex]\frac{3}{12}[/latex]
C) [latex]\frac{5}{6}[/latex]
D) [latex]\frac{5}{36}[/latex]
Answer:
C) [latex]\frac{5}{6}[/latex]

Question 67.
A box contains pencils and pens. The probability of picking out a pen at random is 0.65. Then the probability of not picking a pen is
A) 0.35
B) 0.45
C) 0.65
D) 0.55
Answer:
A) 0.35

Question 68.
Collection of outcomes of an experiment is
A) Event
B) Trial
C) Probability
D) Random experiment
Answer:
A) Event

Question 69.
A month having 4 Sundays is …………………. event.
A) unlikely
B) certain
C) impossible
D) most likely
Answer:
B) certain

Question 70.
Possible value for probability of an event is
A) 1.25
B) – 0.3
C) -0.99
D) 0.6
Answer:
D) 0.6

Question 71.
Drawing a red ball from 4 white balls is …………….. event.
A) certain
B) unlikely
C) most likely
D) impossible
Answer:
D) impossible

Question 72.
When a card is picked up from a deck of cards, it should be either a red or a black card because these events are
A) Equally likely
B) Mutually exclusive
C) Complementary
D) All of these
Answer:
C) Complementary

Question 73.
Getting a cold Wave in your village in December is …………… event
A) unlikely
B) certain
C) most likely
D) impossible
Answer:
C) most likely

Question 74.
When a dice is thrown, the probability of getting neither a prime nor composite number is
A) 0
B) [latex]\frac{1}{2}[/latex]
C) [latex]\frac{1}{6}[/latex]
D) [latex]\frac{1}{3}[/latex]
Answer:
C) [latex]\frac{1}{6}[/latex]

Question 75.
Two unbiased coins are tossed simultaneously. Probability of getting at most two heads is
A)[latex]\frac{1}{4}[/latex]
B) [latex]\frac{1}{2}[/latex]
C) [latex]\frac{3}{4}[/latex]
D) 1
Answer:
C) [latex]\frac{3}{4}[/latex]

Question 76.
The probability of a sure event is
A) 0
B) 9
C) 2
D) 1
Answer:
D) 1

Question 77.
P([latex]\overline{\mathbf{E}}[/latex]) =
A) 1 – P(E)
B) 1 + P(E)
C) [latex]\frac{1}{P(E)}[/latex]
D) P(E) – 1
Answer:
A) 1 – P(E)

Question 78.
Buying a lottery ticket and win the Jackpot is ………………… event.
A) certain
B) impossible
C) unlikely
D) most likely
Answer:
C) unlikely

Question 79.
When we roll a dice ‘3’ times, the number of possible outcomes is
A) 3⁶
B) 6³
C) 18
D) 9
Answer:
B) 6³

Question 80.
Probability of getting 2 or 3 when we throw a die is
A) [latex]\frac{2}{6}[/latex]
B) [latex]\frac{3}{6}[/latex]
C) [latex]\frac{5}{6}[/latex]
D) [latex]\frac{1}{6}[/latex]
Answer:
A) [latex]\frac{2}{6}[/latex]

Question 81.
Suppose there are “8” equally likely events then probability of each event is
A) 0
B) [latex]\frac{1}{8}[/latex]
C) [latex]\frac{2}{8}[/latex]
D) 1
Answer:
B) [latex]\frac{1}{8}[/latex]

Question 82.
If I calculate the probability of an event as – 0.5 then
A) the probability of not happening is 0.5
B) the probability of happening is 0.5
C) the event is not going to happen
D) I made a mistake
Answer:
D) I made a mistake

Question 83.
From the letters of the word “MOBILE”, if a letter is selected, what is the probability of getting the letter vowel ?
A) [latex]\frac{1}{7}[/latex]
B) [latex]\frac{1}{3}[/latex]
C) [latex]\frac{1}{2}[/latex]
D) [latex]\frac{1}{4}[/latex]
Answer:
C) [latex]\frac{1}{2}[/latex]

Question 84.
Gita said that the probability of impossible event is 1. Pravallika said that probability of sure event is 0 and Atiya said that the probability of any event lies between 0 arid 1. In the above with whom you will agree ?
A) Gita
B) Pravallika
C) Atiya
D) All the three
Answer:
C) Atiya

Question 85.
A baby is born the probability that it is a boy or girl is
A) 1
B) [latex]\frac{1}{2}[/latex]
C) [latex]\frac{-1}{2}[/latex]
D) [latex]\frac{1}{3}[/latex]
Answer:
B) [latex]\frac{1}{2}[/latex]

Question 86.
Probability of switching on a bulb in a dark room is 0.35 then the probability of not switching the bulb is
A) 6.5
B) 65.1
C) 0.65
D) 0.065
Answer:
C) 0.65

(87 – 90:) A game of chance consists of spinning an arrow which comes of rest pointing at one of the number 1, 2, 3, 4, 5, 6,7,8 (adjoiningfigure) and these are equally likely outcomes. What is the probability that it will point at
AP 10th Class Maths Bits Chapter 13 Probability with Answers 1

Question 87.
8 ?
A) [latex]\frac{1}{8}[/latex]
B) [latex]\frac{1}{3}[/latex]
C) [latex]\frac{1}{4}[/latex]
D) [latex]\frac{8}{3}[/latex]
Answer:
A) [latex]\frac{1}{8}[/latex]

Question 88.
on odd number?
A) [latex]\frac{1}{4}[/latex]
B) [latex]\frac{1}{2}[/latex]
C) [latex]\frac{1}{7}[/latex]
D) [latex]\frac{1}{9}[/latex]
Answer:
B) [latex]\frac{1}{2}[/latex]

Question 89.
a number greater than 2 ?
A) [latex]\frac{3}{10}[/latex]
B) [latex]\frac{3}{7}[/latex]
C) [latex]\frac{3}{2}[/latex]
D) [latex]\frac{3}{4}[/latex]
Answer:
D) [latex]\frac{3}{4}[/latex]

Question 90.
a number less than 9 ?
A) 1
B) [latex]\frac{1}{2}[/latex]
C) [latex]\frac{1}{3}[/latex]
D) [latex]\frac{1}{4}[/latex]
Answer:
A) 1

(91 – 93) : One card is drawn from a well shuffled deck of 52 cards. The probability
of getting

Question 91.
A red face card
A) [latex]\frac{3}{2}[/latex]
B) [latex]\frac{3}{26}[/latex]
C) [latex]\frac{7}{26}[/latex]
D) [latex]\frac{5}{26}[/latex]
Answer:
B) [latex]\frac{3}{26}[/latex]

Question 92.
A spade
A) [latex]\frac{1}{4}[/latex]
B) [latex]\frac{3}{4}[/latex]
C) [latex]\frac{1}{2}[/latex]
D) [latex]\frac{4}{3}[/latex]
Answer:
D) [latex]\frac{4}{3}[/latex]

Question 93.
Either king or black cards
A) [latex]\frac{13}{7}[/latex]
B) [latex]\frac{7}{3}[/latex]
C) [latex]\frac{7}{13}[/latex]
D) [latex]\frac{3}{7}[/latex]
Answer:
C) [latex]\frac{7}{13}[/latex]

AP 10th Class Maths Bits Chapter 12 Applications of Trigonometry with Answers

August 31, 2021

Practice the AP 10th Class Maths Bits with Answers Chapter 12 Applications of Trigonometry on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 10th Class Maths Bits 12th Lesson Applications of Trigonometry with Answers

Question 1.
If the angle of elevation of sun is 45°, then the length of the shadow of a 12 m
high tree is …………………
A) 12 √3 m
B) 16 m
C) 12 m
D) [latex]\frac{12}{\sqrt{3}}[/latex] m
Answer:
C) 12 m

Question 2.
Observe the figure. Length of the ladder = ……………………
AP 10th Class Maths Bits Chapter 12 Applications of Trigonometry with Answers 1
A) 5 cm
B) 10 √3 cm.
C) 20 m.
D) 2.5 m
Answer:
B) 10 √3 cm.

Question 3.
The angle of depression from the top of a tower 12 m height, at a point on the ground is 30°. The distance of the point from the top is ……………….
A) 12 m
B) 12 √3 m
C) 7. 5 m
D) 6 m
Answer:
A) 12 m

Question 4.
If the shadow of the tree is [latex]\frac{1}{\sqrt{3}}[/latex] times the height of the tree, then the angle of elevation of the sun is …………………..
A) 45°
B) 30°
C) 70°
D) 60°
Answer:
D) 60°

Question 5.
The angle of elevation of a jet plane from a point A on the ground is 60°. After a flight of 15 seconds, the angle of elevation changes to 30°. If the jet plane is flying at a constant height of 1500 √3 meter, then the speed of the plane is ……………….. m/sec.
A) 200
B) 300
C) 400
D) 100
Answer:
A) 200

Question 6.
The angle of elevation of top of a tower at a distance of 500 m from the foot is 30°. Then the height of the tower is ………………..
A) [latex]\frac{500}{\sqrt{3}}[/latex]
B) 500 √3
C) [latex]\frac{3}{500}[/latex]
D) [latex]\frac{\sqrt{3}}{500}[/latex]
Answer:
A) [latex]\frac{500}{\sqrt{3}}[/latex]

Question 7.
If altitude of the sun is 60°. Then the height of the tower which is casting a shadow of 30 m. is ………………… m.
A) 61.69
B) 51.69
C) 51.96
D) 41.69
Answer:
C) 51.96

Question 8.
If a 6m height pole casts a shadow 2√3 m long on the ground, then the sun’s angle of elevation is
A) 60°
B) 45°
C) 30°
D) 90°
Answer:
A) 60°

Question 9.
From a point 30m from the foot of a tower, the angle of elevation of the top is 30°. Then the height of the tower is
A) 10 m
B) 10√3 m
C) 15 m
D) 19 m
Answer:
B) 10√3 m

Question 10.
From a ship masthead 150 ft high, the angle of depression of a boat is observed to 45°. Its distance from the ship is
A) 150 ft
B) 75 ft
C) 150√3 ft
D) [latex]\frac{150}{\sqrt{3}}[/latex] ft
Answer:
A) 150 ft

Question 11.
A ladder of 19m is leaning to a wall making an angle of 60° with the ground. The distance from the foot of the wall to the foot of the ladder is
A) 18m
B) 19m
C) 9m
D) 9.5m
Answer:
D) 9.5m

Question 12.
A boy observes the top of an electronic pole at an angle of elevation of 60°, when the observation point is 8m away from the foot of the pole. Then the height of the pole is
A) 6√3 m
B) 8√3m
C) 10√3m
D) 16√3 m
Answer:
B) 8√3m

Question 13.
Raj ender observes a person standing on the ground from a helicopter at an angle of depression 45°. If the helicopter flies at a height of 50 m from ground, then the distance of the person from Raj ender is
A) 25 √2 m
B) 50 √2 m
C) 75 √2 m
D) None
Answer:
B) 50 √2 m

Question 14.
The angle of elevation of the top of the cliff from a point 300m from its foot is 60°. Then the height of the cliff is
A) 200 √3 m
B) [latex]\frac{200}{\sqrt{3}}[/latex] m
C) 300√3 m
D) [latex]\frac{300}{\sqrt{3}}[/latex] m
Answer:
C) 300√3 m

Question 15.
The angle of elevation of the top of a tower from the top and foot of a pole of height 10m are 30° and 60°. Then the height of the tower is
A) 5 m
B) 10 m
C) 15 m
D) 20 m
Answer:
C) 15 m

Question 16.
A 1.5m tall boy casts 2m shadow. At the same instance, a lamppost casts a shadow of 10 m. Then the height of the lamppost is
A) 6.5 m
B) 7.5 m
C) 8.5 m
D) None
Answer:
B) 7.5 m

Question 17.
The ratio of the length of a rod and its shadow is 1 : √3 Then the angle of elevation of the sun is …………………..
A) 45°
B) 30°
C) 75°
D) 90°
Answer:
B) 30°

Question 18.
A ladder ‘x’ meters long is laid against a wall making an angle ‘θ ‘ with the ground. If we want to directly find the distance between the foot of the ladder and the foot of the wall, which trigonometrical ratio should be considered ?
A) sin θ
B) cos θ
C) tan θ
D) cot θ
Answer:
B) cos θ

Question 19.
Two persons A and B observe the top of a pole at an angle of elevation α and β respectively. If α > β, then ………………..
A) A is nearer to the pole than B.
B) B is nearer to the pole than A.
C) A, B are at the same distance from the pole.
D) Can’t compare their distances
Answer:
C) A, B are at the same distance from the pole.

Question 20.
The angle of elevation of the top of a tower from a point at a distance 40 m from the foot of the tower is 45°. Then the height of the tower is
A) 20 m
B) 40 m
C) 40 √2 m
D) 40 √3 m
Answer:
B) 40 m

Question 21.
The length of the shadow of a tower is equal to its heights, then the angle of elevation of the sun is
A) 90°
B) 70°
C) 60°
D) 45°
Answer:
D) 45°

Question 22.
What is the angle of elevation of the top of a temple of height 10 m. At a point whose distance from the base of the tower is 10 √3 m
A) 30°
B) 60°
C) 45°
D) 90°
Answer:
A) 30°

Question 23.
From the top of a 10 m height tree, the angle of depression of a point on the ground is 30°. Then the distance of the point from the foot of the tree is
A) 10m
B) 10 √3 m
C) [latex]\frac{10}{\sqrt{3}}[/latex] m
D) 5 √3 m
Answer:
B) 10 √3 m

Question 24.
The angle of elevation of the sun is 45° then the length of the shadow of a 12 m high tree is ………………
A) 12√3
B) 16
C) 12
D) 16 √3
Answer:
C) 12

Question 25.
The length of the shadow is of 5 m height tree whose angle of elevation of the sun is 30° is
A) 5 m
B) √3 m
C) 5 √3 m
D) 10 m
Answer:
C) 5 √3 m

Question 26.
A man observed the top point of a flag staff with an angle of elevation of 45° standing at a distance away from the bottom of the staff . Find the distance between the man and the staff, if the height of the staff is 50 m.
A) 50 m
B) 60 m
C) 30 m
D) 22.5 m
Answer:
A) 50 m

Question 27.
A man observed the top point of a chimney with angle of elevation 60° standing at a distance 90 m. away from the bottom of the chimney. Then the height of the chimney is …………………..
A) [latex]\frac{90}{\sqrt{3}}[/latex] m
B) [latex]\frac{45}{\sqrt{3}}[/latex] m
C) 90 √3 m
D) 45 √3 m
Answer:
C) 90 √3 m

Question 28.
A man observed the top of a hill with an angle of elevation of 50° standing at a distance away from the bottom of the hill. If another man stands on the hill, at what angle of depression did he see the first man ?
A) 60°
B) 50°
C) 70°
D) 80°
Answer:
B) 50°

Question 29.
When the sun rays are falling on the earth at an inclination of 45 0 the shadow of a man is 1.5 metres. Man’s height is …………………
A) 1.2 m
B) 1 m
C) 1.5 m
D) 1.732 m
Answer:
C) 1.5 m

Question 30.
Two towers of heights X and Y. A person standing in between X and Y, he observed the top of the tower at an angles of elevation 30° and 60°. Then the value of X : Y is ……………….
A) 3 : 1
B) 1 : √3
C) √3 : 1
D) 1 : 3
Answer:
D) 1 : 3

Question 31.
The length of the shadow of wall of height 8 m is 5 m. At the same time the tower of height is 50 m its length of the shadow is
A) 200 m
B) 80 m
C) 40 m
D) 20 m
Answer:
B) 80 m

Question 32.
If the angle of elevation of the sun is 60° then the ratio of height of a tree with its shadow is
A) 1 : 1
B) 1 : √3
C) √3 : 1
D) 1 : 3
Answer:
C) √3 : 1

Question 33.
The angle of elevation of a top of the tower from a point 120 m. from its foot is 45°. How much the tower is to be raised when the elevation is to be 60° at the same point ?
A) 120 √3 m
B) 120 m
C) 120(√3 + 1) m
D) 120(√3 – 1) m
Answer:
D) 120(√3 – 1) m

Question 34.
A ladder 19 m leaning to wall at 60° with the ground, the distance from foot to the wall is
A) 18 m
B) 19m
C) 9 m
D) 9.5 m
Answer:
D) 9.5 m

Question 35.
From a ship mast head 150 m high the angle of depression of a boat is observed to be 60° its distance from the ship is ………………..
A) 75.5 m
B) 86.55 m
C) 92.55 m
D) 120.5 m
Answer:
B) 86.55 m

Question 36.
a) Srinu said “Angle of elevation is equal to the angle of depression.”
b) Srikanth said “Angle of depression is equal to the angle of elevation.”
A) Only A is True
B) Only B is True
C) Both A and B are True
D) Both A and B are False
Answer:
C) Both A and B are True

Question 37.
Sin (2 × 30°) = 2 Sin 30° statement is
A) True
B) False
C) Can’t say
D) Not defined
Answer:
B) False

Question 38.
Sin a = [latex]\frac{x}{y}[/latex] ; cos a = [latex]\frac{\mathrm{a}}{\mathrm{b}}[/latex] then [latex]\frac{\text { bx }}{\text { ay }}[/latex] represent
A) Tan α
B) cot α
C) sec α
D) cosec α
Answer:
A) Tan α

Question 39.
The length of shadow of a tree of 8 m long. When the son’s angle of elevation is 45° is ……………… m.
A) [latex]\frac{8}{\sqrt{3}}[/latex]
B) 8 √3
C) 8
D) 16 √3
Answer:
C) 8

Question 40.
The angle of elevation of the top of a tower from a point on the ground which is 30 m away from the foot of the tower is 30°. Then the height of the tower is
A) 10 √3 m
B) [latex]\frac{10}{\sqrt{3}}[/latex] m
C) [latex]\frac{\sqrt{3}}{10}[/latex]
D) [latex]\frac{10}{2 \sqrt{3}}[/latex] m
Answer:
A) 10 √3 m

Question 41.
In the adjacent figure ‘θ’ is called as angle of
AP 10th Class Maths Bits Chapter 12 Applications of Trigonometry with Answers 2
A) elevation
B) distance
C) depression
D) length
Answer:
C) depression

Question 42.
The height of the tower, in the given figure.
AP 10th Class Maths Bits Chapter 12 Applications of Trigonometry with Answers 3
A) 45 m
B) 60 m
C) 50 m
D) 90 m
Answer:
B) 60 m

Question 43.
From the adjacent figure
AP 10th Class Maths Bits Chapter 12 Applications of Trigonometry with Answers 4
a) Ravi said ‘y = √3’
b) Ramu said ‘y = V3 ‘
c) Kiran said ‘ y = [latex]\frac {1}{2}[/latex] ‘
Do you agree with whom ? (Or)
With whom do you agree ? ………………..
A) Ravi
B) Kiran
C) Ramu
D) All of them
Answer:
B) Kiran

Question 44.
“A person is flying a kite at an angle of elevation ‘ α ‘ and the length of the thread from his hand to kite is ‘l’ diagram shows this information is
AP 10th Class Maths Bits Chapter 12 Applications of Trigonometry with Answers 5
Answer:

AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers

August 30, 2021

Practice the AP 10th Class Maths Bits with Answers Chapter 11 Trigonometry on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 10th Class Maths Bits 11th Lesson Trigonometry with Answers

Question 1.
If cosec θ + cot θ = 2, then cos θ =
A) [latex]\frac{3}{5}[/latex]
B) [latex]\frac{4}{5}[/latex]
C) [latex]\frac{5}{3}[/latex]
D) [latex]\frac{6}{5}[/latex]
Answer:
A) [latex]\frac{3}{5}[/latex]

Question 2.
If 4 cos² θ – 3 = 0, then sin θ =…………………….
A) [latex]\frac{1}{2}[/latex]
B) -[latex]\frac{1}{2}[/latex]
C) [latex]\frac{1}{\sqrt{2}}[/latex]
D) [latex]\frac{\sqrt{3}}{2}[/latex]
Answer:
A) [latex]\frac{1}{2}[/latex]

Question 3.
If cos (A + B) = 0, cos B = [latex]\frac{\sqrt{3}}{2}[/latex] then A =
A) 15°
B) 60°
C) 30°
D) 45°
Answer:
B) 60°

Question 4.
If sec θ + tan θ = [latex]\frac{1}{3}[/latex], then sec θ – tan θ = …………………
A) 3
B) [latex]\frac{1}{3}[/latex]
C) 1
D) 0
Answer:
A) 3

Question 5.
If sin x = [latex]\frac{5}{7}[/latex] , then cosec x = …………………….
A) [latex]\frac{5}{7}[/latex]
B) [latex]\frac{7}{5}[/latex]
C) [latex]\frac{2}{5}[/latex]
D) [latex]\frac{2}{7}[/latex]
Answer:
B) [latex]\frac{7}{5}[/latex]

Question 6.
Given ∠A = 75°, ∠B = 30°, then tan (A-B) = …………………
A) √3
B) [latex]\frac{1}{\sqrt{3}}[/latex]
C) 1
D) [latex]\frac{1}{\sqrt{2}}[/latex]
Answer:
C) 1

Question 7.
Which one of the following is NOT defined?
A) sin 90°
B) cos 0°
C) sec 90°
D) cos 90°
Answer:
C) sec 90°

Question 8.
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 1 ………………….
A) sin A
B) [latex]\sqrt{\sin A}[/latex]
C) sin²A
D) sin⁴A
Answer:
C) sin²A

Question 9.
tan 36°. tan 54° + sin 30° = ………………..
A) [latex]\frac{3}{2}[/latex]
B) [latex]\frac{1}{2}[/latex]
C) 2
D) [latex]\frac{2}{3}[/latex]
Answer:
A) [latex]\frac{3}{2}[/latex]

Question 10.
If sin A = [latex]\frac{24}{25}[/latex], then sec A = ………………………
A) [latex]\frac{7}{25}[/latex]
B) [latex]\frac{25}{7}[/latex]
C) [latex]\frac{24}{7}[/latex]
D) [latex]\frac{7}{24}[/latex]
Answer:
B) [latex]\frac{25}{7}[/latex]

Question 11.
Values of sin 30°. sin 90°. sec 60° are in …………………
A) A.P.
B) G.P.
C) a
D) (A)or(C)
Answer:
B) G.P.

Question 12.
From the figure : Sin A =
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 2
A) [latex]\frac{\mathrm{AC}}{\mathrm{BC}}[/latex]
B) [latex]\frac{\mathrm{BC}}{\mathrm{AC}}[/latex]
C) [latex]\frac{\mathrm{BC}}{\mathrm{AB}}[/latex]
D) [latex]\frac{\mathrm{AC}}{\mathrm{AB}}[/latex]
Answer:
B) [latex]\frac{\mathrm{BC}}{\mathrm{AC}}[/latex]

Question 13.
The value of tan θ in terms of sinθ is
A) [latex]\frac{\sin \theta}{1-\sin ^{2} \theta}[/latex]
B) [latex]\frac{\sqrt{\sin ^{2} \theta-1}}{\sin \theta}[/latex]
C) [latex]\frac{\sin \theta}{\sqrt{1-\sin ^{2} \theta}}[/latex]
D) [latex]\frac{\sqrt{1-\sin ^{2} \theta}}{\sin \theta}[/latex]
Answer:
C) [latex]\frac{\sin \theta}{\sqrt{1-\sin ^{2} \theta}}[/latex]

Question 14.
If cosec θ = 2 and cot θ = [latex]\sqrt{3 \mathbf{p}}[/latex] where ‘θ’ is an acute angle, then p =
A) 2
B) 1
C) [latex]\frac{1}{2}[/latex]
D) √3
Answer:
B) 1

Question 15.
If sec θ = 3K and tan θ = [latex]\frac{3}{K}[/latex], then K² – [latex]\frac{\mathbf{1}}{\mathbf{K}^{2}}[/latex] =
A) 9
B) [latex]\frac{1}{9}[/latex]
C) 3
D) [latex]\frac{1}{3}[/latex]
Answer:
B) [latex]\frac{1}{9}[/latex]

Question 16.
tan θ is not defined when ‘θ’ is
A) 0°
B) 30°
C) 60°
D) 90°
Answer:
D) 90°

Question 17.
It tan θ = [latex]\frac{1}{\sqrt{3}}[/latex], then 7 sin²θ + 3 cos²θ =
A) [latex]\frac{16}{4}[/latex]
B) [latex]\frac{7}{4}[/latex]
C) [latex]\frac{9}{4}[/latex]
D) 1
Answer:
A) [latex]\frac{16}{4}[/latex]

Question 18.
If cos 2θ = sin 4θ, here 2θ, 4θ are acute angles, then the value of ‘θ’ =
A) 60°
B) 30°
C) 45°
D) 15°
Answer:
D) 15°

Question 19.
Values of cos²0° + cos² 60° is
A) [latex]\frac{5}{4}[/latex]
B) [latex]\frac{2}{\sqrt{3}}[/latex]
C) [latex]\frac{1}{\sqrt{2}}[/latex]
D) [latex]\frac{\sqrt{3}}{2}[/latex]
Answer:
A) [latex]\frac{5}{4}[/latex]

Question 20.
If Sin A = Cos B then A + B = ……………………..
A) 60°
B) 90°
C) 45°
D) 120°
Answer:
B) 90°

Question 21.
If 5 tan α = 4, then [latex]\frac{5 \sin \alpha-3 \cos \alpha}{5 \sin \alpha+2 \cos \alpha}[/latex] = ………………….
A) [latex]\frac{1}{7}[/latex]
B) [latex]\frac{1}{6}[/latex]
C) [latex]\frac{2}{5}[/latex]
D) [latex]\frac{3}{7}[/latex])
Answer:
B) [latex]\frac{1}{6}[/latex]

Question 22.
[latex]\sqrt{1+\sin ^{2} \theta+\cos ^{2} \theta}[/latex] = …………………
A) 1
B) 2
C) [latex]\sqrt{21}[/latex]
D) √2
Answer:

Question 23.
tan 2A = 1 then A = …………………..
A) 45.5
B) 60.5
C) 22.5
D) 30.5
Answer:
C) 22.5

Question 24.
If x = a secθ cosΦ, y = b secθ sinΦ. z = c tan θ, then [latex]\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}[/latex] = ………………….
A) [latex]\frac{z^{2}}{c^{2}}[/latex]
B) 1 – [latex]\frac{z^{2}}{c^{2}}[/latex]
C) [latex]\frac{z^{2}}{c^{2}}[/latex] – 1
D) 1 + [latex]\frac{z^{2}}{c^{2}}[/latex]
Answer:
D) 1 + [latex]\frac{z^{2}}{c^{2}}[/latex]

Question 25.
If 7sin²θ + 3 cos²θ = 5, then tan θ = ……………………
A) √3
B) [latex]\frac{1}{\sqrt{3}}[/latex]
C) 1
D) 0
Answer:
C) 1

Question 26.
If sinθ + sin²θ = 1, then cos²θ + cos⁴θ = ……………..
A) -1
B) 1
C) 0
D) None of these
Answer:
B) 1

Question 27.
If cotθ + cosecθ = 5, then cosθ = ………………..
A) [latex]\frac{12}{13}[/latex]
B) [latex]\frac{26}{24}[/latex]
C) [latex]\frac{5}{13}[/latex]
D) [latex]\frac{13}{12}[/latex]
Answer:
A) [latex]\frac{12}{13}[/latex]

Question 28.
[latex]\frac{\cos \theta}{1-\tan \theta}+\frac{\sin \theta}{1-\cot \theta}[/latex] = ………………
A) cos θ – sin θ
B) tan θ – cot θ
C) cos θ – sin θ
D) tan θ + cot θ
Answer:
A) cos θ – sin θ

Question 29.
If tanθ = [latex]\frac{7}{8}[/latex], then the value of [latex]\frac{(1+\sin \theta)(1-\sin \theta)}{(1+\cos \theta)(1-\cos \theta)}[/latex] ……………….
A) [latex]\frac{64}{49}[/latex]
B) [latex]\frac{49}{64}[/latex]
C) [latex]\frac{8}{7}[/latex]
D) [latex]\frac{7}{8}[/latex]
Answer:
A) [latex]\frac{64}{49}[/latex]

Question 30.
If cosecθ + cotθ = P, then value of cosθ = ……………………
A) [latex]\frac{1-P^{2}}{1+P^{2}}[/latex]
B) [latex]\frac{1-\mathrm{P}^{2}}{2 \mathrm{P}}[/latex]
C) [latex]\frac{2 P}{1+P^{2}}[/latex]
D) [latex]\frac{2 \mathrm{P}}{1-\mathrm{P}^{2}}[/latex]
Answer:
A) [latex]\frac{1-P^{2}}{1+P^{2}}[/latex]

Question 31.
If x > y and [latex]\frac{2 x y}{x^{2}+y^{2}}[/latex] = cosθ, then sinθ = ………………….
A) [latex]\frac{x^{2}-y^{2}}{x^{2}+y^{2}}[/latex]
B) [latex]\frac{x^{2}+y^{2}}{x^{2}-y^{2}}[/latex]
C) [latex]\frac{x^{2}-y^{2}}{2 x y}[/latex]
D) [latex]\frac{2 x y}{x^{2}-y^{2}}[/latex]
Answer:
A) [latex]\frac{x^{2}-y^{2}}{x^{2}+y^{2}}[/latex]

Question 32.
If secθ + tanθ = 3, then cosθ = ………………..
A) [latex]\frac{3}{4}[/latex]
B) [latex]\frac{3}{5}[/latex]
C) [latex]\frac{2}{3}[/latex]
D) [latex]\frac{2}{5}[/latex]
Answer:
B) [latex]\frac{3}{5}[/latex]

Question 33.
In ΔABC, if BC = 3, CA = 4, AB = 5, then cos ∠BAC =
A) [latex]\frac{3}{5}[/latex]
B) [latex]\frac{3}{4}[/latex]
C) [latex]\frac{4}{5}[/latex]
D) [latex]\frac{5}{3}[/latex]
Answer:
B) [latex]\frac{3}{4}[/latex]

Question 34.
sin⁶ A + cos⁶ A + 3sin²A cos²A =
A) 1
B) -1
C) 0
D) None
Answer:
A) 1

Question 35.
sin²2 30°, sin² 45° and sin² 60° are in
A) AP
B) GP
C) HP
D) AGP
Answer:
A) AP

Question 36.
If sinθ . cosθ = [latex]\frac {1}{2}[/latex], then θ = …………………
A) 0°
B) 30°
C) 45°
D) 60°
Answer:
C) 45°

Question 37.
If tanθ [latex]\frac {3}{4}[/latex] , then the value of [latex]\frac{1-\cos \theta}{1+\cos \theta}[/latex] =
A) 9
B) [latex]\frac {1}{9}[/latex]
C) 4
D) [latex]\frac {1}{4}[/latex]
Answer:
B) [latex]\frac {1}{9}[/latex]

Question 38.
If A, B and C are interior angles of atriangle ABC, then tan ([latex]\frac{\mathbf{A}+\mathbf{B}}{2}[/latex]) =
A) sin([latex]\frac{\mathrm{C}}{2}[/latex])
B) cos([latex]\frac{\mathrm{C}}{2}[/latex])
C) tan([latex]\frac{\mathrm{C}}{2}[/latex])
D) cot([latex]\frac{\mathrm{C}}{2}[/latex])
Answer:
D) cot([latex]\frac{\mathrm{C}}{2}[/latex])

Question 39.
If cos A = [latex]\frac{12}{13}[/latex], then sin A =
A) [latex]\frac{5}{13}[/latex]
B) [latex]\frac{5}{12}[/latex]
C) [latex]\frac{12}{13}[/latex]
D) [latex]\frac{13}{5}[/latex]
Answer:
A) [latex]\frac{5}{13}[/latex]

Question 40.
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 3 =
A) 0
B) 1
C) -1
D) [latex]\frac{1}{2}[/latex]
Answer:
B) 1

Question 41.
If tan2A = cot (A – 18°), where 2A is an acute angle, then A =
A) 6°
B) 18°
C) 36°
D) 54°
Answer:
C) 36°

Question 42.
If x = a cosecθ and y = bcotθ, then b²x² – a²y² =
A) a² + b²
B) a²b²
C) [latex]\frac{a^{2}+b^{2}}{a^{2}-b^{2}}[/latex]
D) None
Answer:
B) a²b²

Question 43.
tan 30°, tan 45°, tan 60° are in
A) AP
B) GP
C) HP
D) None
Answer:
B) GP

Question 44.
cos⁴θ – sin⁴θ =
A) 1 – 2sin²θ
B) 2sin²θ
C) secθ
D) cosecθ
Answer:
A) 1 – 2sin²θ

Question 45.
Sin 0°. Tan 60°. Cos 30°. cosec 45° =
A) 1
B) 0
C) [latex]\frac{\sqrt{3}}{2}[/latex]
D) ∝
Answer:
B) 0

Question 46.
Ifsin(A + B) = [latex]\frac{1}{\sqrt{2}}[/latex] and cos (A – B) = [latex]\frac{1}{\sqrt{2}}[/latex] then ∠B =
A) 60°
B) 45°
C) 30°
D) 0°
Answer:
D) 0°

Question 47.
If sinθ + cosθ = √2 then θ =
A) 0°
C) 45°
B) 30°
D) 60°
Answer:
C) 45°

Question 48.
[latex]\frac{1-\tan ^{2} 30^{\circ}}{1+\tan ^{2} 30^{\circ}}[/latex] = ………………..
A) [latex]\frac{1}{2}[/latex]
B) [latex]\frac{1}{\sqrt{2}}[/latex]
C) [latex]\frac{\sqrt{3}}{2}[/latex]
D) 1
Answer:
A) [latex]\frac{1}{2}[/latex]

Question 49.
cos⁴ θ – sin⁴ θ =
A) cos² θ – sin² θ
B) 2cos² θ – 1
C) 1 – 2sin² θ
D) None
Answer:
A) cos² θ – sin² θ

Question 50.
If x = cos θ + sin θ and y = cos θ – sin θ, then x² + y² =
A) 0
B) 1
C) -1
D) 2
Answer:
D) 2

Question 51.
sin (A + B) cos (A – B) + sin (A – B) cos (A + B) =
A) sin 2A
B) sin 2B
C) cos 2A
D) cos 2B
Answer:
A) sin 2A

Question 52.
If sin A = cos B, then A + B =
A) 45°
B) 60°
C) 90°
B) 75°
Answer:
C) 90°

Question 53.
The value of cos 36° cos 54° – sin 36° sin 54° =
A) 1
B) 0
C) 2
D) -1
Answer:
B) 0

Question 54.
The value of [latex]\frac{1}{1+\cos \theta}+\frac{1}{1-\cos \theta}[/latex] =
A) 2 sec²θ
B) 2secθ
C) 2cosec²θ
D) 2cosecθ
Answer:
C) 2cosec²θ

Question 55.
The value of tan²θ + tan⁴θ
A) sec⁴θ – sec²θ
B) sec²θ – sec⁴θ
C) sin²θ – cos²θ
D) sec²θ – tan²θ
Answer:
A) sec⁴θ – sec²θ

Question 56.
The value of cos 45° . cos 30° . cos 90° . cos 60° =
A) [latex]\frac{\sqrt{3}}{4 \sqrt{2}}[/latex]
B) [latex]\frac{\sqrt{3}}{4}[/latex]
C) 0
D) [latex]\frac{\sqrt{3}}{2 \sqrt{2}}[/latex]
Answer:
C) 0

Question 57.
If x = a cosecθ and y = a cotθ, then which of the following is true ?
A) x² + y² = a²
B) x² – y² = a²
C) x + y = a
D) xy = a
Answer:
D) xy = a

Question 58.
If sin A = [latex]\frac{7}{25}[/latex],then cot A =
A) [latex]\frac{25}{7}[/latex]
B) 1
C) [latex]\frac{24}{25}[/latex]
D) [latex]\frac{24}{7}[/latex]
Answer:
C) [latex]\frac{24}{25}[/latex]

Question 59.
cos 12° – sin 78° = ………………
A) 1
B) 1/2
C) 0
D) -1
Answer:
C) 0

Question 60.
If x = cosce θ + cot θ,.y = cosec θ – cot θ, then which of the following is true ?
A) x + y = 0
B) x – y = 0
C) [latex]\frac{x}{y}[/latex] = 1
D) xy = 1
Answer:
D) xy = 1

Question 61.
Tan²θ – Sec²θ = ………………..
A) 1
B) -1
C) 0
D) ∞
Answer:
B) -1

Question 62.
In Δ ABC, Sin C = [latex]\frac{3}{5}[/latex]. Then Cos A = ……………………..
A) [latex]\frac{3}{5}[/latex]
B) [latex]\frac{4}{5}[/latex]
C) [latex]\frac{5}{4}[/latex]
D) [latex]\frac{5}{3}[/latex]
Answer:
A) [latex]\frac{3}{5}[/latex]

Question 63.
If cot A = [latex]\frac{5}{12}[/latex], then sin A + cos A is ……………….
A) [latex]\frac{17}{13}[/latex]
B) [latex]\frac{12}{13}[/latex]
C) [latex]\frac{5}{13}[/latex]
D) [latex]\frac{20}{13}[/latex]
Answer:
A) [latex]\frac{17}{13}[/latex]

Question 64.
Which of following values is not a possible value of sin x ?
A) [latex]\frac{3}{4}[/latex]
B) [latex]\frac{3}{5}[/latex]
C) [latex]\frac{4}{5}[/latex]
D) [latex]\frac{5}{4}[/latex]
Answer:
D) [latex]\frac{5}{4}[/latex]

Question 65.
Which of the following is not defined ?
A) Tan0°
B) Tan 90°
C) Cot 90°
D) Sec 0°
Answer:
B) Tan 90°

Question 66.
If Sin A = [latex]\frac{24}{25}[/latex] then Cot A = ………………………
A) [latex]\frac{25}{24}[/latex]
B) [latex]\frac{7}{24}[/latex]
C) [latex]\frac{24}{7}[/latex]
D) [latex]\frac{25}{7}[/latex]
Answer:
B) [latex]\frac{7}{24}[/latex]

Question 67.
In ΔPQR, ∠Q = 90°; PQ = 5 cm; PR = 13 cm then QR =
A) 5 cm
B) 12 cm
C) 13 cm
D) 25 cm
Answer:
B) 12 cm

Question 68.
If Sin A = [latex]\frac{3}{5}[/latex] then Cos A =
A) [latex]\frac{3}{4}[/latex]
B) [latex]\frac{4}{5}[/latex]
C) [latex]\frac{5}{4}[/latex]
D) [latex]\frac{4}{3}[/latex]
Answer:
B) [latex]\frac{4}{5}[/latex]

Question 69.
8 Tan A = 15 then Sin A – Cos A =
A) [latex]\frac{7}{3}[/latex]
B) [latex]\frac{7}{17}[/latex]
C) [latex]\frac{9}{14}[/latex]
D) [latex]\frac{3}{7}[/latex]
Answer:
B) [latex]\frac{7}{17}[/latex]

Question 70.
Sin2 60° + Cos2 30° + Tan2 60° =
A) [latex]\frac{9}{2}[/latex]
B) [latex]\frac{2}{9}[/latex]
C) [latex]\frac{1}{9}[/latex]
D) 1
Answer:
A) [latex]\frac{9}{2}[/latex]

Question 71.
Sin θ = [latex]\frac{20}{29}[/latex] then Sin² θ + cos² θ =
A) [latex]\frac{144}{841}[/latex]
B) [latex]\frac{41}{841}[/latex]
C) 1
D) 0
Answer:
C) 1

Question 72.
If θ = 45° then the value of AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 4 is
A) 0
B) 1
C) 2
D) ∞
Answer:
B) 1

Question 73.
In ΔABC if Sin A = [latex]\frac{9}{15}[/latex] then Cosec² A – Cot² A =
A) 1
B) -1
C) 2
D) 3
Answer:
A) 1

Question 74.
(1 + Tan² 45°)² =
A) 1
B) 7
C) 4
D) 9
Answer:
C) 4

Question 75.
Sin²105° + Cos²105° =
A) – 1
B) 1
C) 3
D) 0
Answer:
B) 1

Question 76.
Tan (B + 15°) = [latex]\frac{1}{\sqrt{3}}[/latex] then B =
A) 60°
B) 80°
C) 70°
D) 15°
Answer:
D) 15°

Question 77
Maximum value of Sin θ =
A) 1
B) [latex]\frac{1}{2}[/latex]
C) [latex]\frac{\sqrt{3}}{2}[/latex]
D) [latex]\frac{1}{\sqrt{2}}[/latex]
Answer:
A) 1

Question 78.
If Sec 2A = Cosec (A – 27°), then the value of ∠A is
A) 35°
B) 37°
C) 39°
D) 21°
Answer:
C) 39°

Question 79.
Sin (A – B) = [latex]\frac {1}{2}[/latex]; Cos (A + B) = [latex]\frac {1}{2}[/latex] then ∠A is
A) 60°
C) 30°
B) 15°
D) 45°
Answer:
D) 45°

Question 80.
Tan² 60° + 2 Tan² 45° = x Tan 45° Then x =
A) 0
B) 5
C) 1
D) 2
Answer:
B) 5

Question 81.
Sin θ = Cos θ then θ =
A) 30°
B) 45°
C) 60°
D) 90°
Answer:
B) 45°

Question 82.
Sec θ + Tan θ = p then Sin θ =
A) [latex]\frac{p^{2}-1}{p^{2}+1}[/latex]
B) [latex]\frac{p}{p^{2}+1}[/latex]
C) [latex]\frac{p^{2}-1}{p}[/latex]
D) [latex]\frac{p^{2}+1}{p^{2}-1}[/latex]
Answer:
A) [latex]\frac{p^{2}-1}{p^{2}+1}[/latex]

Question 83.
2 . Sin 30° . Cos 30° =
A) 1
B) [latex]\frac{2}{\sqrt{3}}[/latex]
C) [latex]\frac{\sqrt{3}}{2}[/latex]
D) [latex]\frac{1}{\sqrt{2}}[/latex]
Answer:
C) [latex]\frac{\sqrt{3}}{2}[/latex]

Question 84.
Sin 18° = Cos x, then x =
A) 73°
B) 37°
C) 72°
D) 84°
Answer:
C) 72°

Question 85.
Tan θ + Cot θ = 2, then Sin θ =
A) 3
B) 1
C) √2
D) [latex]\frac{1}{\sqrt{2}}[/latex]
Answer:
D) [latex]\frac{1}{\sqrt{2}}[/latex]

Question 86.
The value of Cos 0° + Sin 90° + √2 Sin 45° =
A) 5
C) 1
B) 4
D) 3
Answer:
D) 3

Question 87.
Sin θ = [latex]\frac {1}{2}[/latex] then cot θ =
A) 3
B) 7
C) √3
D) 2√3
Answer:
C) √3

Question 88.
In ΔABC, a = 3 units; b = 4 units; c = 5 units. Then cos A =
A) [latex]\frac{3}{5}[/latex]
B) [latex]\frac{3}{4}[/latex]
C) [latex]\frac{5}{3}[/latex]
D) [latex]\frac{4}{5}[/latex]
Answer:
D) [latex]\frac{4}{5}[/latex]

Question 89.
Cos (A – B) = [latex]\frac{1}{2}[/latex]; Sin B = [latex]\frac{1}{\sqrt{2}}[/latex] , then the value of A.
A) 15°
B) 105°
C) 90°
D) 60°
Answer:
B) 105°

Question 90.
Sin 60° Cos 30° + Cos 60° Sin 30° Value is ……………………
A) [latex]\frac{1}{2}[/latex]
B) 1
C) [latex]\frac{\sqrt{3}}{2}[/latex]
D) [latex]\frac{2}{\sqrt{3}}[/latex]
Answer:
B) 1

Question 91.
√3 Tan θ = 1, then θ =
A) 30°
B) 45°
C) 60°
D) 90°
Answer:
A) 30°

Question 92.
In a ΔABC if ∠B = 90° and Tan C = [latex]\frac {5}{12}[/latex] , then the length of the hypotenuse is
A) 6
B) 13
C) 21
D) 17
Answer:
B) 13

Question 93.
Tan² 60° + 4 Cos² 45° + 3 Sec² 30° + 5 Cos² 90° =
A) 7
B) 8
C) 9
B) 10
Answer:
A) 7

Question 94.
Sec² 27° – Cot² 63° =
A) 3
B) 0
C) 1
D) 2
Answer:
B) 0

Question 95.
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 5 =
A) Sin θ
B) Cos θ
C) Sec θ
D) Cosec θ
Answer:
D) Cosec θ

Question 96.
Sin² θ (1 + Cot²θ) =
A) Cos² θ
B) Sec² θ
C) Tan² θ
D) 1
Answer:
D) 1

Question 97.
If A = 45°, then (1 + Tan A) (1 + Tan²A) (1 + Tan³ A) =
A) 6
B) 8
C) 4
D) 2
Answer:
B) 8

Question 98.
Sin² θ . Cot² θ + Cos² θ . Tan² θ =
A) 0
B) 2
C) 1
D) -1
Answer:
C) 1

Question 99.
Tan 45° + 2 Tan² 60° =
A) 6
B) 7
C) 8
D) 9
Answer:
B) 7

Question 100.
Sin 2A = 2 Sin A, then ∠A =
A) 0°
B) 30°
C) 45°
D) 60°
Answer:
A) 0°

Question 101.
If x Sin (90° – θ) Cot (90° – θ) = Cos (90° – θ) then x =
A) 0
B) 1
C) – 1
D) 2
Answer:
B) 1

Question 102.
If Tan θ + Cot θ = 5, then the value of Tan² θ + Cot² θ =
A) 25
B) 23
C) 27
D) 15
Answer:
B) 23

Question 103.
If Cosec θ – Cot θ = [latex]\frac {1}{4}[/latex] then the value of Cosec θ + Cot θ is
A) 1
B) -1
C) [latex]\frac {1}{4}[/latex]
D) 4
Answer:
D) 4

Question 104.
Sin 40°=
A) Sin × 40°
B) Sin + 40°
C) Sin 20° + Sin 20°
D) A real number
Answer:
D) A real number

Question 105.
If ΔXYZ is a right angled isosceles triangle and ∠Y = 90° then XZ =
A) √2 XY
B) √3 XY
C) 2 XY
D) XY²
Answer:
A) √2 XY

Question 106.
Tan θ is not defined, then θ =
A) 50°
B) 60°
C) 180°
D) 90°
Answer:
D) 90°

Question 107.
Sin (90° – θ) =
A) Sin θ
B) Cos θ
C) Cosec θ
D) Sec θ
Answer:
B) Cos θ

Question 108.
Tan 81° =
A) Cos 9°
B) Sin 9°
C) Cot 9°
D) Tan 9°
Answer:
C) Cot 9°

Question 109.
Sin A. Cos (90° – A) + Cos A. Sin (90° – A) =
A) Sin²A
B) Cos²A
C) 0
D) 1
Answer:
D) 1

Question 110.
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 6 =
A) Tan² θ
B) Cot² θ
C) Sin² θ
D) Cos² θ
Answer:
A) Tan² θ

Question 111.
a) Sin (A + B) = Sin A Cos B + Cos A Sin B
b) Sin (A – B) = Sin A Cos B – Cos A Sin B
Which is correct in the above statements?
A) a is correct
B) b is correct
C) Both a and b are correct
D) Both a and b are wrong
Answer:
C) Both a and b are correct

Question 112.
a) Sin 30° = 1
b) Cos 30° = [latex]\frac {1}{2}[/latex]
Which is correct in the above statements?
A) a is correct
B) Both a and b are correct
C) b is correct
D) Both a and b are wrong
Answer:
D) Both a and b are wrong

Question 113.
a) Sin² θ + Cos² θ = 1
b) Tan² θ + Sec² θ = 1
Which is correct in the above statements?
A) b is correct
B) a is correct
C) Both a and b are correct
D) Both a and b are wrong
Answer:
B) a is correct

Question 114.
Sin (A – B) = [latex]\frac {1}{2}[/latex]; Cos (A + B) = [latex]\frac {1}{2}[/latex] is true for ……………….
A) 0° > A + B > 90°
B) A > B
C) 0°< A + B < 90°and A > B
D) A < B and A > B
Answer:
C) 0°< A + B < 90°and A > B

Question 115.
Sin 81° + Tan 81° can be expressed as …………………..
A) Sin 9° + Tan 9°
B) cos 9° + cot 9°
C) Sin 9° + Cot 9°
D) Cos 9° + Tan 9°
Answer:
B) cos 9° + cot 9°

Question 116.
Sin (A + B) = Sin A + Sin B is not true for
A) A = 30°; B = 60°
B) A = 30°; B = 45°
C) A = 45°; B = 60°
D) A = 60°; B = 30°
Answer:
D) A = 60°; B = 30°

Question 117.
i) Sec θ = [latex]\frac{\text { Length of the hypotenuse }}{\text { Length of the side adjacent to } \theta}[/latex]
ii) Cot θ = [latex]\frac{\text { Length of the side opposite to } \theta}{\text { Length of the side adjacent to } \theta}[/latex]
A) (i), (ii) are true
B) (i), (ii) are false
C) (i) is false (ii) is true
D) (i) is true (ii) is false
Answer:
D) (i) is true (ii) is false

Question 118.
Ramu said Cos A = 2 ; Ravi said Cos A = 1. Do you agree with whom ?
A) Ramu
B) Ravi
C) Ramu and Ravi
D) Nobody
Answer:
B) Ravi

Question 119.
In ΔABC, ∠B = 90° then Sin A =
A) [latex]\frac{\mathrm{AC}}{\mathrm{AB}}[/latex]
B) [latex]\frac{\mathrm{AB}}{\mathrm{AC}}[/latex]
C) [latex]\frac{\mathrm{BC}}{\mathrm{AC}}[/latex]
D) [latex]\frac{\mathrm{BC}}{\mathrm{AB}}[/latex]
Answer:
C) [latex]\frac{\mathrm{BC}}{\mathrm{AC}}[/latex]

Question 120.
In a right angled triangle the adjacent side of 30°
A) Opposite side of 30°
B) Hypotenuse
C) Opposite side of 60°
D) Adjacent side of 60°
Answer:
C) Opposite side of 60°

Question 121.
Cos θ. Tan θ =
A) Sinθ
B) Cosθ
C) Cot θ
D) Sin² θ . Cos θ
Answer:
A) Sinθ

Question 122.
If Cos θ = [latex]\frac{a}{b}[/latex] then Cosec θ is equal to
A) [latex]\frac{\mathrm{b}}{\mathrm{a}}[/latex]
B) [latex]\frac{b}{\sqrt{b^{2}-a^{2}}}[/latex]
C) [latex]\frac{\sqrt{b^{2}-a^{2}}}{b}[/latex]
D) [latex]\frac{a}{\sqrt{b^{2}-a^{2}}}[/latex]
Answer:
B) [latex]\frac{b}{\sqrt{b^{2}-a^{2}}}[/latex]

Question 123.
Sec θ = [latex]\frac{\mathbf{m}+\mathbf{n}}{2 \sqrt{\mathbf{m n}}}[/latex] then Cosec θ =
A) [latex]\frac{\mathrm{mn}}{2}[/latex]
B) [latex]\frac{\mathrm{m}+\mathrm{n}}{2}[/latex]
C) [latex]\frac{m-n}{m+n}[/latex]
D) [latex]\frac{\mathrm{mn}}{\mathrm{m}+\mathrm{n}}[/latex]
Answer:
C) [latex]\frac{m-n}{m+n}[/latex]

Question 124.
Cos² θ (1 + Tan²θ) =
A) – Sin² θ
B) 1
C) Sin θ
D) – 1
Answer:
B) 1

Question 125.
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 7

Answer:

Question 126.
Express Tan θ in terms of Sec θ.
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 10
Answer:

Question 127.
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 12 – cotθ =
A) Cot θ
C) Sec θ
B) Cosec θ
D) Tan θ
Answer:
D) Tan θ

Question 128.
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 13 =
A) Cot θ
C) Sec θ
B) Tan θ
D) Cosec θ
Answer:
A) Cot θ

Question 129.
If cos θ = [latex]\frac{2 \sqrt{m n}}{m+n}[/latex] ,then sin θ =
A) [latex]\frac{m+n}{m-n}[/latex]
B) [latex]\frac{m-n}{m+n}[/latex]
C) [latex]\frac{2 \sqrt{\mathrm{mn}}}{\mathrm{m}+\mathrm{n}}[/latex]
D) [latex]\frac{\mathrm{m}+\mathrm{n}}{\mathrm{mn}}[/latex]
Answer:
B) [latex]\frac{m-n}{m+n}[/latex]

Question 130.
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 14 =
A) 2 Sec θ
B) 2 Sec² θ
C) 2 Cosec θ
D) 2 Cosec² θ
Answer:
B) 2 Sec² θ

Question 131.
Sec θ (1 – Sin θ) (Sec θ + Tan θ) =
A) 0
B) 1
C) 2
D) -1
Answer:
B) 1

Question 132.
The ratio of lengths of opposite sides of 30°, 60°, 90° is
A) 1 : 2 : 3
B) 1 : 1 : √2
C) 1 : 3 : 2
D) 1 : √3 : 2
Answer:
D) 1 : √3 : 2

Question 133.
If Sin A = Cos B, then ……………………. (A, B are acute)
A) A = B
B) A + B = 180°
C) A = 90° + B
D) A + B = 90°
Answer:
D) A + B = 90°

Question 134.
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 15 =
A) – Tan² A
B) -Tan⁴ A
C) 1
D) – Sec² A
Answer:
B) -Tan⁴ A

Question 135.
If Tan θ + Sec θ = 8, then Sec θ – Tan θ value is
A) 8
B) [latex]\frac {1}{8}[/latex]
C) 6
D) 64
Answer:
B) [latex]\frac {1}{8}[/latex]

Question 136.
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 16 =
A) Sin A
B) 1 – Sin²A
C) Cos A
D) 1
Answer:
C) Cos A

Question 137.
Sin θ = [latex]\frac{\mathrm{a}}{\mathrm{b}}[/latex]; Cos θ = [latex]\frac{\mathbf{c}}{\mathbf{d}}[/latex] then Cot θ =
A) [latex]\frac{a b}{c d}[/latex]
B) [latex]\frac{\mathrm{bc}}{\mathrm{ad}}[/latex]
C) [latex]\frac{c a}{b d}[/latex]
D) [latex]\frac{\mathrm{ad}}{\mathrm{bc}}[/latex]
Answer:
B) [latex]\frac{\mathrm{bc}}{\mathrm{ad}}[/latex]

Question 138.
Sin θ . Cot θ . Sec θ =
A) 2
B) -1
C) 1
D) 0
Answer:
C) 1

Question 139.
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 17 =
A) Sin θ
B) Cos θ
C) Tan θ
D) Cot θ
Answer:

Question 140.
Sin³ θ Cos θ + Cos³ θ Sin θ =
A) Sin θ + Cos θ
B) Sin θ Cos θ
C) Sin θ
D) Cot θ
Answer:
B) Sin θ Cos θ

Question 141.
Tan θ + Cot θ = 2, then Tan² θ + Cot² θ =
A) 4
B) 2
C) 6
D) 1
Answer:
B) 2

Question 142.
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 18 =
A) Sec θ + Tan θ
B) Sec θ – Tan θ
C) Sec² θ + Tan² θ
D) Sec² θ – Tan² θ
Answer:
A) Sec θ + Tan θ

Question 143.
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 19 . Cot α =
A) Tan α
C) 1
B) Cota
D) -1
Answer:
C) 1

Question 144.
If A, B and C are interior angles of a triangle ABC, then Sin ([latex]\frac{B+C}{2}[/latex]) =
A) Sin [latex]\frac{\mathrm{A}}{2}[/latex]
B) Cos [latex]\frac{\mathrm{A}}{2}[/latex]
C) – Sin [latex]\frac{\mathrm{A}}{2}[/latex]
D) – Cos [latex]\frac{\mathrm{A}}{2}[/latex]
Answer:
B) Cos [latex]\frac{\mathrm{A}}{2}[/latex]

Question 145.
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 20 can be expressed as …………….
A) Sin 0°
B) cos 90°
C) Sin 0° Cos 90°
D) Sin 60°
Answer:
D) Sin 60°

Question 146.
Cosec² A – Cot² A = 1 is true for all
A) 0° > A ≥ 90°
B) 0° < A ≥ 90° C) 0° > A < 90°
D) 0° < A ≤ 90°
Answer:
D) 0° < A ≤ 90°

Question 147.
From the adjacent figure ON = x; PN = y; OP = r ; ∠PON = θ and ∠PNO = 90° then
i) cos θ =
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 21
A) [latex]\frac{\mathrm{y}}{\mathrm{r}}[/latex]
B) [latex]\frac{\mathrm{y}}{\mathrm{x}}[/latex]
C) [latex]\frac{\mathrm{x}}{\mathrm{r}}[/latex]
D) [latex]\frac{\mathrm{r}}{\mathrm{x}}[/latex]
Answer:
C) [latex]\frac{\mathrm{x}}{\mathrm{r}}[/latex]

ii) Tan θ =
A) [latex]\frac{x}{y}[/latex]
B) [latex]\frac{\mathrm{y}}{\mathrm{x}}[/latex]
C) [latex]\frac{\mathrm{r}}{\mathrm{x}}[/latex]
D) [latex]\frac{\mathbf{r}}{\mathrm{y}}[/latex]
Answer:
B) [latex]\frac{\mathrm{y}}{\mathrm{x}}[/latex]

Question 148.
From the adjacent figure ΔABC, ∠B = 90°; ∠C = θ, then Sec θ =
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 22
A) [latex]\frac{17}{15}[/latex]
B) [latex]\frac{17}{8}[/latex]
C) [latex]\frac{15}{17}[/latex]
D) [latex]\frac{15}{8}[/latex]
Answer:
A) [latex]\frac{17}{15}[/latex]

Question 149.
Which of the following represents Sin θ = [latex]\frac{21}{29}[/latex] ?
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 23
Answer:

Question 150.
From the adjacent figure Sin C = [latex]\frac{3}{5}[/latex] then Cos A =
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 25
A) [latex]\frac{5}{4}[/latex]
B) [latex]\frac{5}{3}[/latex]
C) [latex]\frac{3}{5}[/latex]
D) [latex]\frac{4}{5}[/latex]
Answer:
C) [latex]\frac{3}{5}[/latex]

Question 151.
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 26 From this figure length of AB is
A) 20 √3 nits
B) [latex]\frac{20}{\sqrt{3}}[/latex] mts
C) 60 mts
D) 30 mts
Answer:
A) 20 √3 nits

Question 152.
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 27 From this figure ∠QPR =
A) 30°
B) 60°
C) 45°
D) 90°
Answer:
B) 60°

Question 153.
From the adjacent figure the length of the chord is
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 28
A) 3 cm
B) 4 cm
C) 6 cm
D) 12 cm
Answer:
C) 6 cm

Question 154.
From the adjacent figure length of Hypotenuse is
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 29
A) 5
B) 12
C) 13
D) 25
Answer:
C) 13

Question 155.
For finding ‘θ’ from the adjacent figure the trigonometric ratio used is
AP 10th Class Maths Bits Chapter 11 Trigonometry with Answers 30
A) Sine
B) Cosine
C) Tangent
D) Cosecant
Answer:
C) Tangent

AP 10th Class Maths Bits Chapter 10 Mensuration with Answers

August 30, 2021

Practice the AP 10th Class Maths Bits with Answers Chapter 10 Mensuration on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 10th Class Maths Bits 10th Lesson Mensuration with Answers

Question 1.
The volume of right circular cylinder with radius 6 cm and height 7 cm is ……………. cm³
A) 642
B) 927
C) 264
D) 792
Answer:
D) 792

Question 2.
A sphere of radius ‘r’ is inscribed in a cylinder. The surface area of the sphere is ……………. of the cylinder.
A) total surface area
B) curved surface area
C) volume
D) none of these
Answer:
B) curved surface area

Question 3.
The maximum length of the stick that can be placed in a cuboid, whose measurements are 8 × 4 × 1, is ……………………
A) 8
B) 9
C) 12
D) 13
Answer:
B) 9

Question 4.
The volume of a cube will be ………………… (in cm³), whose total surface area is 216 cm².
A) 216
B) 196
C) 212
D) 144
Answer:
A) 216

Question 5.
Which of the following vessel can be filled with more water (A, B are in cylindrical shape) ?
AP 10th Class Maths Bits Chapter 10 Mensuration with Answers 1
A) A
B) B
C) Both are equal
D) Cannot be determined
Answer:
B) B

Question 6.
The curved surface area of a sphere will be ………………………… , whose radius is 10 cm.
A) 239π
B) 400π
C) 221π
D) 129π
Answer:
B) 400π

Question 7.
Base area of the prism is 30 cm² and its height is 10 cm. Then the volume of the prism is …………………
A) 300 cm³
B) 300 cm²
C) 150 cm²
D) 150 cm³
Answer:
A) 300 cm³

Question 8.
If the total surface area of cube is 96 cm³, then side of cube is ……………..
A) 3 cm
B) 5 cm
C) 6 cm
D) 4 cm
Answer:
D) 4 cm

Question 9.
Ratio of volumes of cylinder and cone whose radii are equal and having same height is
A) 1 : 3
B) 1 : 2
C) 3 : 1
D) 2 : 1
Answer:
C) 3 : 1

Question 10.
To find out the slant height of a cone, we use ………….. theorem.
A) Thales
B) S.A.S
C) Pythagoras
D) S.S.S
Answer:
C) Pythagoras

Question 11.
A.solid iron cuboid of dimensions 49 cm × 33 cm × 24 cm is melted to form a solid sphere, then its radius is
A) 21 cm
B) 13 cm
C) 24 cm
D) 18 cm
Answer:
A) 21 cm

Question 12.
In a right circular cone, [latex]\sqrt{(l+\mathbf{r})(l-\mathbf{r})}[/latex] =
A) slant height
B) vertical height
C) radius of the base
D) diameter of the base
Answer:
B) vertical height

Question 13.
Volume of a cube is 512 cm³, then its edge is
A) 8 cm
B) 6 cm
C) 14 cm
D) 18 cm
Answer:
A) 8 cm

Question 14.
T.S.A of a solid hemisphere whose radius is x cm is 147 π cm². Then ‘x’ is
A) 21
B) 15
C) 8
D) 7
Answer:
D) 7

Question 15.
The number of cubes of edge 2 cm which can be cut out from a cube of edge 6 cm is
A) 9
B) 18
C) 27
D) 3
Answer:
C) 27

Question 16.
A cylinder and cone have bases of equal radii and arc of equal heights then the volumes are in the ratio is ……………….
A) 1 : 2
B) 2 : 1
C) 3 : 1
D) 1 : 3
Answer:
C) 3 : 1

Question 17.
A heap of the rice is in the form of cone. Its diameter is 12 m, height is 8 m, then the volume is ……………………
A) 200.5 Cu.cm
B) 300.14 Cu.cm
C) 301.44 Cu.m
D) 200.15 Cu.m
Answer:
C) 301.44 Cu.m

Question 18.
Combination shape of tanker is
A) Cylinder + 2 hemispheres
B) Cylinder + Circle
C) Cylinder + hemisphere
D) Cone + Circle
Answer:
A) Cylinder + 2 hemispheres

Question 19.
A hemisphere is cut out from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the length of the cube, then the surface area of the remaining solid is …………………… sq. units.
A) a²(5 + [latex]\frac{\pi}{2}[/latex])
B) a²(6 + [latex]\frac{\pi}{2}[/latex])
C) a²(6 + [latex]\frac{\pi}{4}[/latex])
D) a²(4 + [latex]\frac{\pi}{4}[/latex])
Answer:
B) a²(6 + [latex]\frac{\pi}{2}[/latex])

Question 20.
The height of a cone and its base radius are 4 cm and 3 cm respectively. Then its slant height is ……………… cm.
A) 4
B) 3
C) 5
D) 6
Answer:
C) 5

Question 21.
A vessel is in the form of a hollow hemisphere mounted by hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm, then the inner surface area of the vessel is ………………..
A) 308 cm²
B) 572 cm²
C) 672 cm²
D) 472 cm²
Answer:
B) 572 cm²

Question 22.
The radii of the base of cylinder and a cone are in the ratio of 3 : 4 and their heights are in the ratio of 2 : 3, then the ratio of the volumes is …………………….
A) 9 : 8
B) 9 : 4
C) 3 : 1
D) 27 : 64
Answer:
A) 9 : 8

Question 23.
A circus tent is cylindrical up to a height of 4 m and cone above it. If the diameter is 105 m and its slant height of cone is 40 m., then the total area of canvas required to built the tent is ……………..
A) 7920 m²
B) 7820 m²
C) 9720 m²
D) 2645 m²
Answer:
A) 7920 m²

Question 24.
An iron spherical ball of volume 232848 cm³ has been melted and converted into a cone with vertical angle of 120°. Then the height of the cone is
A) 42√3 cm
B) 42 cm
C) 21 cm
D) None
Answer:
A) 42√3 cm

Question 25.
If a cylinder and cone have bases of equal radii and are equal heights, then the ratio of their volumes is
A) 1 : 3
B) 2 : 3
C) 3 : 1
D) 3 : 2
Answer:
C) 3 : 1

Question 26.
If the curved surface area of a cone is 4070 cm² and its diameter is 70 cm, then its slant height is
A) 27 cm
B) 37 cm
C) 47 cm
D) 57 cm
Answer:
B) 37 cm

Question 27.
Under the usual notations, the total surface area of a cuboid is
A) lb + bh + hl
B) [latex]\frac{l \mathrm{~b}+\mathrm{bh}+\mathrm{h} l}{2}[/latex]
C) 2(lb + bh + hl)
D) None
Answer:
C) 2(lb + bh + hl)

Question 28.
A joker’s cap is in the form of a right- circular cone whose base radius is 7 cm and height is 24 cm. The area of the sheet required to make 10 such caps is
A) 550 cm²
B) 5500 cm²
C) 55000 cm²
D) None
Answer:
B) 5500 cm²

Question 29.
A right-circular cylinder has base radius 14 cm and height 21 cm. The curved surface area is
A) 1848 cm²
B) 616 cm²
C) 3080 cm²
D) 12936 cm²
Answer:
A) 1848 cm²

Question 30.
The volume of the sphere of radius 21 cm is
A) 5544 cm³
B) 38808 cm³
C) 1155 cm³
D) 8983 cm³
Answer:
B) 38808 cm³

Question 31.
A sphere, a cylinder and a cone have the same radius and same height, then the ratio of their curved surface areas is
A) 2 : √3 : 4
B) 4 : 4 : √5
C) 3 : √5 : 4
D) None
Answer:
B) 4 : 4 : √5

Question 32.
The volume of the cone =
A) [latex]\frac {4}{3}[/latex]πr²
B) [latex]\frac {1}{3}[/latex]πr²h
C) πr²h
D) [latex]\frac {1}{2}[/latex]πr²h
Answer:
B) [latex]\frac {1}{3}[/latex]πr²h

Question 33.
If the diagonal of a cube ia 4√3, then the side of the cube is
A) 1
B) 2
C) 3
D) 4
Answer:
D) 4

Question 34.
If the volume of a hemisphere is 19404 cm3 then its radius is
A) 7
B) 14
C) 21
D) 28
Answer:
C) 21

Question 35.
A metallic sphere of radius 2 cm is melted to recast into the shape of a cylinder of radius 4 cm. Then the height of the cylinder is
A) [latex]\frac {1}{3}[/latex] cm
B) [latex]\frac {4}{3}[/latex] cm
C) [latex]\frac {2}{3}[/latex] cm
D) 1 cm
Answer:
C) [latex]\frac {2}{3}[/latex] cm

Question 36.
Three spheres of radii 6 cm, 1 cm and 8 cm are melted so as to form a single sphere. Then the radius of the new sphere is
A) 11 cm
B) 9 cm
C) 8 cm
D) 10 cm
Answer:
B) 9 cm

Question 37.
The radius and height of a right circular cone are 6 cm and 7 cm respectively. Then the volume of the cone is
A) 264 cu.cm
B) 300 cu.cm
C) 246 cu.cm
D) 256 cu.cm
Answer:
D) 256 cu.cm

Question 38.
Volume of a regular circular cylinder is ………….. cu. units.
A) πr²h
B) πrl
C) 2πrh
D) 2h(l + b)
Answer:
A) πr²h

Question 39.
Total surface area of cube is 54 cm² . Then its side is ………………… cm.
A) 6
B) 9
C) 12
D) 3
Answer:
D) 3

Question 40.
For a right circular cone with radius = r, height = h and slant height = l, which of the following is not true ?
A) Always l > h
B) Always l > r
C) Always r > π
D) l² = r² + h²
Answer:
C) Always r > π

Question 41.
Lateral surface area of a right circular cone = πrl, where ‘l’ is ……………….
A) height of the cone
B) diameter of the cone
C) slant height of the cone
D) none of these
Answer:
C) slant height of the cone

Question 42.
The length, breadth and height of a room are 8 m, 6.5 m and 3.5 m respectively. Then the volume of air contained in the room is
A) 162 m³
B) 172 m³
C) 182 m³
D) 192 m³
Answer:
C) 182 m³

Question 43.
The diagonal of the cuboid with dimensions 9cm × 12cm × 20cm is ……………….
A) 41 cm
B) 32 cm
C) 25 cm
D) 21 cm
Answer:
C) 25 cm

Question 44.
Total Surface Area of the cuboid with dimensions 8 cm × 4 m × 2 cm is
A) 158 cm²
B) 112 cm²
C) 320 cm²
D) 191 cm²Answer:
B) 112 cm²

Question 45.
The volume of a cuboid is 440 cm³ and the area of its base is 88 cm², then its height is ………………. m.
A) 4
B) 5
C) 6
D) 7
Answer:
B) 5

Question 46.
Volume of the cube is 125 m³, then its side is ………………… cm.
A) 12
B) 6
C) 5
D) 10
Answer:
C) 5

Question 47.
Total Surface Area (TSA) of cube is 2400 cm2, then its side is ……………. cm.
A) 80
B) 60
C) 40
D) 20
Answer:
D) 20

Question 48.
Edge of a cube is 2 cm then Lateral Surface Area (LSA) is ……………….. cm².
A) 13
B) 31
C) 61
D) 16
Answer:
D) 16

Question 49.
Total Surface Area of a cube whose side is 0.5 cm is ………………..
A) [latex]\frac {1}{4}[/latex] cm²
B) [latex]\frac {1}{8}[/latex] cm²
C) [latex]\frac {3}{4}[/latex] cm²
D) [latex]\frac {3}{2}[/latex]cm²Answer:
D) [latex]\frac {3}{2}[/latex]cm²

Question 50.
The volume of a cube is 27 cm³, then its surface area is
A) 36cm²
C) 64 cm²
B) 54 cm²
D) 82 cm²Answer:
B) 54 cm²

Question 51.
The radius of a conical tent is 7 m and its height is 10 m. Then the slant height of the cone is ………………..
A) 11.2 m
B) 10.2 m
C) 12.2 m
D) 14.2 m
Answer:
C) 12.2 m

Question 52.
The volume of a cone is 462 cm³. Its base radius is 7 cm then its height is ……………… cm.
A) 10.3
B) 7
C) 8
D) 9
Answer:
D) 9

Question 53.
Height of the cone is 15 cm, slant height is 17 cm, then radius of the cone is ………………… cm.
A) 8
B) 10
C) 16
D) 14
Answer:
A) 8

Question 54.
In a cone, Lateral Surface Area (LSA) is …………….. if slant height and radius of the base are 25 cm and 7 cm respectively.
A) 450 cm²
B) 550 cm²
C) 650 cm²
D) 150 [latex]\frac {1}{7}[/latex] cm²
Answer:
B) 550 cm²

Question 55.
The slant height of a cone is 10 cm and radius of the base is 7 cm, then Total Surface Area (TSA) = …………….. cm².
A) 374
B) 478
C) 474
D) 378
Answer:
A) 374

Question 56.
The area of the base of a right circular cone is 78.5 cm². If its height is 12 cms, then its volume is ………………. cm³.
A) 31.4
B) 314
C) 304
D) 404
Answer:
B) 314

Question 57.
The diameter of the base of a right circular cylinder is 14 cm and its height is 20 cm. Then its curved surface area is
A) 594 cm²
B) 1188 cm²
C) 440 cm²
D) 1540 cm²
Answer:
B) 1188 cm²

Question 58.
A solid iron rod has a cylindrical shape. Its height is 10 cm and base radius is 7 cm. Then volume of the.rod is
A) 1640 cm³
B) 1740 cm³
C) 1440 cm³
D) 1540 cm³
Answer:
D) 1540 cm³

Question 59.
The volume of a cylinder is 49,896 cm³ and its curved surface area is 4752 sq.cm. Then its radius is ……………… cm.
A) 12.3
B) 10
C) 21
D) 13.7
Answer:
C) 21

Question 60.
The ratio of the radius and height of a cylinder is 3 : 2. The radius is 21 cm, then Lateral Surface Area (LSA) = ………………… cm³
A) 2043
B) 1949
C) 1848
D) 1948
Answer:
C) 1848

Question 61.
In a cylinder d = 40 cm, h = 56 cm, then Curved Surface Area (CSA) = ……………. cm³.
A) 7040
B) 6040
C) 4040
D) 3040
Answer:
A) 7040

Question 62.
Volume of cylindrical bottle is 88 cm³, radius is 2 cm, then h = ……………… cm
A) 12
B) 10
C) 9
D) 7
Answer:
D) 7

Question 63.
The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio of 5 : 3. Then the ratio of their volumes is ………………
A) 4 : 9
B) 9 : 4
C) 20 : 27
D) 27 : 20
Answer:
C) 20 : 27

Question 64.
The ratio of volumes of a cone and a cylinder whose diameters And heights are equal is
A) 3 : 1
B) 1 : 2
C) 2 : 1
D) 1 : 3
Answer:
D) 1 : 3

Question 65.
The length of equator on the globe is 88 cm, then r is ……………………..
A) 12 cm
B) 10 cm
C) 16 cm
D) 14 cm
Answer:
D) 14 cm

Question 66.
Two spheres are of radii in the ratio 3 : 5, then ratio of their surface areas is
A) 16 : 1
B) 25 : 9
C) 9 : 16
D) 9 : 25
Answer:
D) 9 : 25

Question 67.
If three metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to form a single sphere, then the diameter of the sphere is ………………….
A) 12 cm
B) 16 cm
C) 20 cm
D) 24 cm
Answer:
D) 24 cm

Question 68.
The surface areas of two spheres are in the ratio 1:4, then the ratio of their volumes is …………………
A) 1 : 8
B) 1 : 64
C) 1 : 12
D) 1 : 16
Answer:
B) 1 : 64

Question 69.
Surface area of a sphere is 576π cm², then volume is ……………….
A) 2304 π cm³
B) 1403 π cm³
C) 3404 π cm³
D) 4010 π cm³
Answer:
A) 2304 π cm³

Question 70.
The outer and inner radii of a hemisphere are 3 cm and 2 cm, then Total Surface Area (TSA) is ……………….. cm²
A) 9.7
B) 97 [latex]\frac {3}{7}[/latex]
C) 96 [latex]\frac {1}{2}[/latex]
D) 16 [latex]\frac {1}{4}[/latex]
Answer:
B) 97 [latex]\frac {3}{7}[/latex]

Question 71.
The surface area of sphere is 550 cm². Its radius is ………………
A) 6.6 cm
B) 5.6 cm
C) 5.5 cm
D) 7.6 cm
Answer:
A) 6.6 cm

Question 72.
Volume of the possible biggest cylinder that can be made of a cube of side 14 cm is …………………… (in cm³)
A) 2156
B) 1078
C) 539
D) 428
Answer:
A) 2156

Question 73.
Height of a cylindrical iron rod is four times to its radius of the base. If it is melted and recast into spherical balls, number of balls thus formed
A) 4
B) 3
C) 2
D) 1
Answer:
B) 3

Question 74.
If a cuboid of dimensions 49 cm × 33 cm × 24 cm is melted and recast into a sphere, then radius of the sphere is
A) 24 cm
B) 21 cm
C) 18 cm
D) 13 cm
Answer:
B) 21 cm

Question 75.
Volume of the possible biggest cone that can be made out of a cube of side 4.2 cm is …………………. (in cm³)
A) 19.4
B) 14.6
C) 9.7
D) 8.4
Answer:
A) 19.4

Question 76.
The diameter of a metallic sphere is 6 cm. It is melted and drawn into a wire having diameter as 2 cm. Then the length of the wire (in cm) ………………….
A) 48
B) 12
C) 36
D) 24
Answer:
C) 36

Question 77.
In a cuboid if l = b = h, then it is a
A) cone
B) cube
C) cylinder
D) sphere
Answer:
B) cube

Question 78.
The base of a cone is ……………….
A) hemisphere
B) sphere
C) circle
D) square
Answer:
C) circle

Question 79.
The volume of cone of diameter’d’ and height ‘h’ is ………………. units³.
A) [latex]\frac{\pi \mathrm{d}^{2}}{2}[/latex]
B) [latex]\frac{\pi d^{2} h}{12}[/latex]
C) [latex]\frac{\pi \mathrm{dh}^{2}}{12}[/latex]
D) [latex]\frac{\pi d^{2}}{12}[/latex]
Answer:
B) [latex]\frac{\pi d^{2} h}{12}[/latex]

Question 80.
Two cones have their heights in the ratio 1 : 3 and radii 3 : 1. Then the ratio of their volumes is …………………
A) 3 : 1
B) 1 : 4
C) 1 : 3
D) 1 : 9
Answer:
A) 3 : 1

Question 81.
The vertical cross section of a cone is …………………
A) right triangle
B) scalene triangle
C) isosceles triangle
D) circle
Answer:
C) isosceles triangle

Question 82.
The horizontal cross section of a cylinder is
A) rectangle
B) square
C) circle
D) triangle
Answer:
C) circle

Question 83.
The vertical cross section of a cylinder is
A) rectangle
B) square
C) circle
D) right triangle
Answer:
A) rectangle

Question 84.
If ‘d’ is the diameter of a sphere, then its volume is …………………
A) [latex]\frac {2}{3}[/latex]πd³
B) [latex]\frac {1}{6}[/latex]πd³
C) [latex]\frac {4}{3}[/latex]πd³
D) [latex]\frac {1}{24}[/latex]πd³
Answer:
B) [latex]\frac {1}{6}[/latex]πd³

Question 85.
In what ratio are the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height
A) 1 : 3 : 2
B) 2 : 3 : 1
C) 3 : 1 : 2
D) 3 : 2 : 1
Answer:
C) 3 : 1 : 2

Question 86.
The surface area of a sphere 4 cm its diameter is ……………………
A) 16 πcm²
B) 23 π cm²
C) 64 π cm²
D) 12 π cm²
Answer:
A) 16 πcm²

Question 87.
The radius of a hemisphere is 7 cm, then its surface area is ………………….. cm²
A) 10
B) 150
C) 300
D) 462
Answer:
D) 462

Question 88.
The internal and external radii of a hemispherical bowl are r₁ and r₂ respectively. Then the surface area of the bowl is …………………..
A) 2π(r₁² + r₂²)
B) π(r₁² + r₂²)
C) π(r₁² – r₂²)
D) 2π(r₁² – r₂²)
Answer:
A) 2π(r₁² + r₂²)

Question 89.
If the radius of a cylinder is doubled and its height remains unchanged, then its curved surface area is increased by times.
A) 2
B) 3
C) half
D) unchange
Answer:
B) 3

Question 90.
If a cone and a hemisphere have bases of equal radii, then its ratio of volumes is …………………
A) 2 : 1
B) 3 : 1
C) 4 : 1
D) 1 : 1
Answer:
A) 2 : 1

Question 91.
From a wooden cube of side Y cm, a right circular cylinder of maximum volume is cut. Then the volume of this cylinder is ………………. cm³.
A) [latex]\frac {1}{3}[/latex]πX³
B) πX³
C) [latex]\frac{\pi}{4}[/latex]X³
D) [latex]\frac {4}{3}[/latex] πX³
Answer:
C) [latex]\frac{\pi}{4}[/latex]X³

Question 92.
Three shots are made by melting a solid metallic sphere of radius 6 cm. If the radii of the two spheres are 3 cm and 4 cm respectively, then the radius of the third shot is ………………… cm.
A) 5
B) 2
C) 4
D) 3
Answer:
A) 5

Question 93.
The volume and the surface area of a sphere are numerically the same. Then the volume of the smallest cylinder in which the sphere is exactly kept is
A) 18π
B) 54π
C) 27π
D) 36π
Answer:
B) 54π

Question 94.
Lateral Surface Area of four walls of a room is ……………….. sq.units
A) 2h(l + b)
B) 2(l + b)
C) h(l + b)
D) 2 lbh
Answer:
A) 2h(l + b)

Question 95.
The radius of the base and height of a right circular cone are 9 cm and 15 cm respectively. Then volume of the cone is …………………. cm³.
A) 405 π
B) 1215 π
C) 81 π
D) 225 π
Answer:
A) 405 π

Question 96.
The heights of two cylinders are equal. The radii are R and r. Then the ratio of their volumes is
A) R² : r²
B) R : r³
C) R : r²
D) R² : r
Answer:
A) R² : r²

Question 97.
The volume of a sphere of radius ‘r’ is obtained by multiplying its surface area by
A) [latex]\frac{4}{3}[/latex]
B) [latex]\frac{\mathrm{r}}{3}[/latex]
C) [latex]\frac{4 r}{3}[/latex]
D) 3r
Answer:
B) [latex]\frac{\mathrm{r}}{3}[/latex]

Question 98.
The ratio between the volumes of a sphere and a cylinder, if in cylinder, height is equal to the radius of base is ………………….
A) 3 : 1
B) 1 : 3
C) 3 : 4
D) 4 : 3
Answer:
D) 4 : 3

Question 99.
A solid sphere of radius ‘r’ is melted and cast into the shape of a solid cone of height ‘r’. The radius of the base of the cone is
A) 2r
B) 3r
C) 4r
D) 6r
Answer:
A) 2r

Question 100.
If a metallic sphere of radius ‘r’ is melted and recast into a metallic cone of height V units, then radius of the cone is …………………..
A) 2r
B) r
C) 3r
D) 4r
Answer:
A) 2r

Question 101.
To find out quantity of water inside a bottle, we measure
A) surface area
B) total surface area
C) volume
D) base area
Answer:
C) volume

Question 102.
To find out canvas needed for making a tent, we measure
A) area
B) volume
C) base area
D) radius of the base
Answer:
A) area

Question 103.
Geometry box is an example of
A) sphere
B) cone
C) cube
D) cuboid
Answer:
D) cuboid

Question 104.
Chalk-box is an example of
A) sphere
B) cone
C) cube
D) cuboid
Answer:
C) cube

Question 105.
If the radius of the base of a right circular cylinder is halved, keeping the height same, then the ratio of the volume of the cylinder thus obtained to the volume of the original cylinder is
A) 2 : 1
B) 1 : 2
C) 4 : 1
D) 1 : 4
Answer:
C) 4 : 1

Question 106.
The ratio of volumes of a cone and a cylinder whose radii and height are equal is
A) 3 : 1
B) 1 : 3
C) 1 : 2
D) 1 : 1
Answer:
B) 1 : 3

Question 107.
The radii of two spheres are in the ratio 2 : 3, then the ratio of their surface areas is ……………..
A) 3 : 2
B) 27 : 8
C) 8 : 27
D) 4 : 9
Answer:
D) 4 : 9

Question 108.
A cylinder, a cone and a hemisphere have bases of equal radii and are of equal heights. Then the ratio of their volumes is ………………
A) 3 : 1 : 2
B) 3 : 2 :1
C) 1 : 2 : 3
D) 1 : 3 : 2
Answer:
A) 3 : 1 : 2

Question 109.
Ratio between the volume of a cone and a cylinder is ……………………
A) 3 : 1
B) 1 : 3
C) 1 : 1
D) 4 : 1
Answer:
B) 1 : 3

Question 110.
The ratio between the surface area of sphere and hemisphere is ………………
A) 3 : 1
B) 1 : 3
C) 4 : 3
D) 3 : 4
Answer:
C) 4 : 3

Question 111.
In the adjacent figure, l is called
AP 10th Class Maths Bits Chapter 10 Mensuration with Answers 2
A) length
B) height
C) slant height
D) volume
Answer:
C) slant height

Question 112.
Identify cuboid from the following
AP 10th Class Maths Bits Chapter 10 Mensuration with Answers 3
Answer:

Question 113.
Identify the shapes in the funnel
A) Cone, Circle
B) Cylinder, Rectangle
C) Cone, Cylinder
D) Sphere, Cylinder
Answer:
C) Cone, Cylinder

Question 114.
Which of the following item is in spherical shape ?
A) Laddu
B) Cricket Ball
C) Foot Ball
D) All the above
Answer:
D) All the above

AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers

August 28, 2021

Practice the AP 10th Class Maths Bits with Answers Chapter 9 Tangents and Secants to a Circle on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 10th Class Maths Bits 9th Lesson Tangents and Secants to a Circle with Answers

Question 1.
The number of parallel tangents of a circle with a given tangent is
A) 1
B) 2
C) 0
D) infinite
Answer:
A) 1

Question 2.
PA and PB are two tangents drawn to a circle with centre O from an external point P. If ∠APB = 30°, then ∠AOB =
A) 60°
B) 90°
C) 70°
D) 150°
Answer:
D) 150°

Question 3.
Radius of a circle with centre ‘O’ is 5 cm. P is a point at a distance of 3 cm from ‘O’. Then the number of tangents that can be drawn to the circle is ………………
A) 1
B) 2
C) 0
D) 3
Answer:
C) 0

Question 4.
Angle made by the minutes – hand in a clock during a period of 20 minutes is ……………….
A) 120°
B) 20°
C) 360°
D) 90°
Answer:
A) 120°

Question 5.
From the adjacent figure, ∠APB = 40°, then ∠AOB = ……………….
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 1
A) 110°
B) 140°
C) 80°
D) 160°
Answer:
B) 140°

Question 6.
The length of a tangent to a circle from a point P is 12 cm and the radius of the circle is 5 cm, then the distance from point P to the centre of the circle is ……………..
A) 11 cm
B) 10 cm
C) 13 cm
D) 14 cm
Answer:
C) 13 cm

Question 7.
Perimeter of a sector is ………………….. units.
A) [latex]\frac{l \mathrm{r}}{2}[/latex]
B) [latex]\frac{\mathbf{x}^{0}}{360^{0}}[/latex] × πr²
C) 2 (l + r)
D) l + 2r
Answer:
D) l + 2r

Question 8.
Angle of a sector is 60° and radius is 14 cm, then its area is ……………….. cm².
A) 100.6
B) 102.67
C) 111.6
D) 98.66
Answer:
B) 102.67

Question 9.
The longest chord in a circle is …………………
A) diameter
B) radius
C) arc
D) perimeter
Answer:
A) diameter

Question 10.
A circle can have …………….. parallel tangents.
A) 1
B) 3
C) 2
D) 4
Answer:
C) 2

Question 11.
How many tangent lines can be drawn to a circle from a point outside the circle?
A) 1
B) 2
C) 3
D) 4
Answer:
B) 2

Question 12.
Two circles with centres A and B touches each other at the point C. If AC = 8 cm and AB = 3 cm, then area of shaded region is…………………..
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 2
A) 13π
B) 5π
C) 39π
D) 8π
Answer:
C) 39π

Question 13.
The C.S.A. and T.S.A. of a cylinder are in the ratio 2 : 3. Its T.S.A. is 924 cm² then
its volume is ……………….. cm³.
A) 2156
B) 1256
C) 1265
D) 2516
Answer:
A) 2156

Question 14.
The minutes hand of a clock length is 10.5 cm. Then area swept by it in 10 minutes is ……………….. cm².
A) 115.5
B) 57.75
C) 11.55
D) 575.5
Answer:
B) 57.75

Question 15.
Two circles of radius 15 cm and 13 cm intersect at A and B, such that [latex]\overline{\mathbf{A B}}[/latex] = 24 cm. The distance between their centres is …………… cm
A) 28
B) 14
C) 18
D) 16
Answer:
B) 14

Question 16.
The distance between the two parallel tangents of a circle whose radius is 12 cm is ………………. cm.
A) 14
B) 24
C) 28
D) 36
Answer:
B) 24

Question 17.
The end points of diameter of a circle are (2, 4) and (-3, -1). The radius of the circle is ……………..
A) [latex]\frac{5 \sqrt{2}}{2}[/latex]
B) 5√2
C) 3√2
D) [latex]\frac{5 \sqrt{2}}{\pm 2}[/latex]
Answer:
A) [latex]\frac{5 \sqrt{2}}{2}[/latex]

Question 18.
The area of a circle is 220 cm². Then the area of square inscribed in it is……………..
A) 49 cm²
B) 70 cm²
C) 140 cm²
D) 150 cm²
Answer:
C) 140 cm²

Question 19.
Area of segment of a circle …………………….
A) area of sector
B) area of corresponding sector / area of corresponding triangle
C) 2(l + r)
D) area of segment sector + πr²
Answer:
B) area of corresponding sector / area of corresponding triangle

Question 20.
If TP and TQ are two tangents to a circle with centre O so that ∠POQ = 110°, then ∠PTQ is equal to
A) 60°
B) 70°
C) 80°
D) 90°
Answer:
B) 70°

Question 21.
What is the area of the shaded region in the figure ? In which two circles with centres A and B touch each other at the point C, if AC = 8 cm and AB = 3 cm, is
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 3
A) 24π cm²
B) 39π cm²
C) 11π cm²
D) 57π cm²
Answer:
A) 24π cm²

Question 22.
If all the sides of a parallelogram touch a circle, then the parallelogram is
A) a square
B) a rhombus
C) a rectangle
D) None
Answer:
C) a rectangle

Question 23.
PQ is chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T. Then the length of TP is
A) [latex]\frac{10}{3}[/latex]cm
B) [latex]\frac{25}{3}[/latex]cm
C) [latex]\frac{20}{3}[/latex]cm
D) [latex]\frac{16}{3}[/latex]cm
Answer:
D) [latex]\frac{16}{3}[/latex]cm

Question 24.
The number of circles passing through three collinear points in a plane is
A) 1
B) 0
C) 9
D) 12
Answer:
B) 0

Question 25.
The number of pairs of parallel tangents to a circle is
A) 2
B) 4
C) 1
D) infinitely many
Answer:
D) infinitely many

Question 26.
The length of the tangent to a circle with centre O and radius = 6 cm from a point P outside tlie circle such that OP = 10 cm is
A) 6 cm
B) 8 cm
G) 4 cm
D) 5 cm
Answer:
B) 8 cm

Question 27.
If PA and PB are the lengths of tangents drawn from an external point P to a circle, then
A) PA ≠ PB
B) PA > PB
C) PA < PB
D) PA = PB
Answer:
D) PA = PB

Question 28.
The area of the sector, whose radius is 7 cm with angle 60°, is
A) 52.66 cm²
B) 25.66 cm²
C) 62.56 cm²
D) 65.62 cm²
Answer:
B) 25.66 cm²

Question 29.
In the adjacent figure, x =
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 4
A) 5.8 cm
B) 6.8 cm
C) 4.8 cm
D) 3.8 cm
Answer:
C) 4.8 cm

Question 30.
In the figure, x =
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 5
A) 100°
B) 90°
C) 110°
D) 80°
Answer:
A) 100°

Question 31.
How many tangents can be drawn to a circle from a point outside the circle ?
A) 1
B) 2
C) 3
D) None
Answer:
B) 2

Question 32.
A secant intersects the circle at ……………… point (s).
A) single
B) two
C) three
D) none
Answer:
B) two

Question 33.
The tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Then the length of the tangent is
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 6
A) 13 cm
B) [latex]\sqrt{119}[/latex] cm
C) 14 cm
D) 11 cm
Answer:
B) [latex]\sqrt{119}[/latex] cm

Question 34.
A parallelogram circumscribing a circle is a
A) trapezium
B) rhombus
C) square
D) rectangle
Answer:
B) rhombus

Question 35.
If the radius of a circle is 4 cm and the sector angle is 30°, then the area of the sector is
A) [latex]\frac{3 \pi}{4}[/latex]sq.cm
B) 3π[latex][/latex]
C) 4π sq.cm
D) [latex]\frac{4 \pi}{3}[/latex]sq.cm
Answer:
D) [latex]\frac{4 \pi}{3}[/latex]sq.cm

Question 36.
In the figure below, which of the following are tangents to the circle?
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 7
A) A, B, C
B) A, D
C) A, C
D) A, B, D
Answer:
C) A, C

Question 37.
In the figure below, OP = 3 cm and OB = 5 cm. Then AB =
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 8
A) 8 cm
B) 9 cm
C) 4 cm
D) 10 cm
Answer:
A) 8 cm

Question 38.
In the figure if ∠APB = 60° and OP = 10 cm, then PA = …………….. cm
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 9
A) 5
B) 5√2
C) 5√3
D) 20
Answer:
C) 5√3

Question 39.
The angle between a tangent to a circle and the radius drawn at the point of contact is ………………
A) 60°
B) 30°
C) 45°
D) 90°
Answer:
D) 90°

Question 40.
A line which intersects the given circle at two distinct points is called a
A) tangent
B) transversal
C) direct line
D) secant
Answer:
D) secant

Question 41.
The number of pair of tangents can be drawn to a circle, which are parallel to each other, are ……………….
A) 0
B) 2
C) 4
D) infinite
Answer:
B) 2

Question 42.
The number of tangents that can be drawn to a circle from an external point is ……………….
A) 0
B) 3
C) 2
D) 1
Answer:
C) 2

Question 43.
If PA and PB are tangents to a circle of radius 5 cm, then their lengths are ……………. cm.
A) 5, 13
B) 13, 13
C) 12, 12
D) 13, 12
Answer:
C) 12, 12

Question 44.
The angle between a tangent and the radius drawn at the point of contact is
A) 60°
B) 30°
C) 90°
D) 45°
Answer:
C) 90°

Question 45.
From a point Q, the length of the tangent to a circle is 24 cm, and the distance of Q from the centre is 25 cm, then the radius of the circle is
A) 7 cm
B) 12 cm
C) 15 cm
D) 24 .5 cm
Answer:
A) 7 cm

Question 46.
The length of the tangent drawn from a point 17 cm away from the centre of a circle of radius 8 cm is
A) 25 cm
B) 9 cm
C) 15 cm
D) 8.5 cm
Answer:
C) 15 cm

Question 47.
If the length of a tangent to a circle of radius 6 cm is 8 cm, then the distance from which the tangent is drawn to the centre of the circle is
A) 7 cm
B) 8 cm
C) 9 cm
D) 10 cm
Answer:
D) 10 cm

Question 48.
Two concentric circles are of radii 5 cm and 3 cm. Length of the chord of the larger circle which touches the smaller circle is
A) 8 cm
B) 5 cm
C) 7. 5 cm
D) 9 cm
Answer:
A) 8 cm

Question 49.
If tangents PA and PB from a point P to a circle with centre ‘O’ are inclined to each other at angle of 80°, then ∠POA =
A) 50°
B) 60°
C) 70°
D) 80°
Answer:
A) 50°

Question 50.
AP and AQ are two tangents of a circle with centre ‘O’ and ∠POQ = 60°, then ∠OPQ =
A) 30°
B) 45°
C) 60°
D) 90°
Answer:
C) 60°

Question 51.
If two tangents to a circle of radius 3 cm are inclined to each other at angle of 60°, then length of each tangent =
A) 6 cm
B) 3√3 cm
C) 3 cm
D) [latex]\frac{3 \sqrt{3}}{4}[/latex]cm
Answer:
B) 3√3 cm

Question 52.
The area of a sector of a circle of radius 7 cm and central angle 60° is …………………….
A) [latex]\frac{77}{3}[/latex]
B) [latex]\frac{77}{6}[/latex]
C) [latex]\frac{77}{9}[/latex]
D) [latex]\frac{154}{5}[/latex]
Answer:
A) [latex]\frac{77}{3}[/latex]

Question 53.
In the figure if BP = 5cm,QC = 7cm and AR = 6 cm, then AB + BC + CA =
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 10
A) 18 cm
B) 36 cm
C) 25 cm
D) 30 cm
Answer:
B) 36 cm

Question 54.
The parallelogram circumscribing a circle is a ……………………
A) Trapezium
B) Triangle
C) Rectangle
D) Square
Answer:
C) Rectangle

Question 55.
Cyclic rhombus is a …………………
A) Parallelogram
B) Square
C) Trapezium
D) Rectangle
Answer:
B) Square

Question 56.
In the adjacent figure if quadrilateral PQRS circumscribes a circle, then PB + SD =
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 11
A) SR
B) PR
C) QS
D) PS
Answer:
D) PS

Question 57.
In the figure ∠AOB =
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 12
A) 80°
B) 90°
C) 100°
D) 20°
Answer:
B) 90°

Question 58.
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 13 In the figure ∠ACB =
A) 60°
B) 80°
C) 90°
D) 45°
Answer:
C) 90°

Question 59.
The set of all points which are equidistant from a fixed point is called a
A) line
B) ray
C) circle
D) triangle
Answer:
C) circle

Question 60.
The line segment joining any two points oq a circle is called
A) radius
B) diameter
C) chord
D) tangent
Answer:
C) chord

Question 61.
The set of all points which are equidistant from a fixed point is a circle, then the fixed distance is called
A) diameter
B) radius
Cj centre
D) chord
Answer:
B) radius

Question 62.
A line meeting a circle only in one point is called a
A) secant
B) tangent
C) chord
D) arc
Answer:
B) tangent

Question 63.
A line, which intersects a circle in two distinct points, is called
A) secant
B) tangent
C) chord
D) arc
Answer:
A) secant

Question 64.
The point at which the tangent touches the circle is called
A) point of intersection
B) centre of the circle
C) point of contact
D) external point of the circle
Answer:
C) point of contact

Question 65.
Number of tangents that can be drawn at point on a circle is
A) 1
B) 2
C) 3
D) infinite
Answer:
A) 1

Question 66.
Number of tangents that can be drawn through a point inside a circle is
A) 0
B) 1
C) 2
D) infinite
Answer:
A) 0

Question 67.
How many tangents a circle can have?
A) 1
B) 2
C) 0
D) infinite
Answer:
D) infinite

Question 68.
Number of parallel tangents that a circle can have at the most is
A) 1
B) 2
C) 3
D) infinite
Answer:
B) 2

Question 69.
A line drawn through the end of a radius and perpendicular to it, is a …………….. to the circle.
A) secant
B) tangent
C) chord
D) arc
Answer:
D) arc

Question 70.
The tangent at any point of a circle is to the …………………. radius through the point of contact.
A) equal
B) similar
C) parallel
D) perpendicular
Answer:
D) perpendicular

Question 71.
The length of a tangent from a point d cm away from the centre of a circle of radius ‘r’ is
A) [latex]\sqrt{d^{2}-r^{2}}[/latex]
B) [latex]\sqrt{\mathrm{d}^{2}+\mathrm{r}^{2}}[/latex]
C) [latex]\sqrt{\mathrm{dr}}[/latex]
D) [latex]\sqrt{\mathrm{d}+\mathrm{r}}[/latex]
Answer:
A) [latex]\sqrt{d^{2}-r^{2}}[/latex]

Question 72.
Two concentric circles are of radii a and b (a>b). Length of the chord of the larger circle which touches the small circle is
A) 2[latex]\sqrt{a^{2}-b^{2}}[/latex]
B) [latex]\sqrt{a^{2}-b^{2}}[/latex]
C) 2[latex]\sqrt{a^{2}+b^{2}}[/latex]
D) [latex]\sqrt{a^{2}+b^{2}}[/latex]
Answer:
A) 2[latex]\sqrt{a^{2}-b^{2}}[/latex]

Question 73.
If AP and AQ are two tangents to a circle with centre O so that ∠POQ = 110°, then ∠PAQ = ………………..
A) 60°
B) 70°
C) 80°
D) 90°
Answer:
B) 70°

Question 74.
The shaded portion represents
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 14
A) Minor segment
B) Major segment
C) Centre
D) Sector
Answer:
A) Minor segment

Question 75.
Number of chords of a circle is
A) 1
B) 2
C) 3
D) infinite
Answer:
D) infinite

Question 76.
Number of tangents that can be drawn from outside the circle is
A) 0
B) 1
C) 2
D) infinite
Answer:
C) 2

Question 77.
The distance between two parallel tangents to a circle of diameter 8 cm is
A) 8
B) 6
C) 4
D) 2
Answer:
A) 8

Question 78.
The limit of a secant line of a circle is
A) chord
B) diameter
C) tangent
D) secant
Answer:
A) chord

Question 79.
A tangent PA touches a circle with centre ‘O’ at A, then
A) ∠OPA = 90°
B) ∠POA = 90°
C) ∠OAP = 45°
D) ∠OAP = 90°
Answer:
D) ∠OAP = 90°

Question 80.
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 15
In the figure XY and XY are two parallel tangents to a circle with centre ‘O’ and other tangent AB with point of contact ‘C’ intersecting XY at A and X’Y’ at B, then ∠AOB =
A) 80°
B) 100°
C) 90°
D) 60°
Answer:
C) 90°

Question 81.
Two tangents TP and TQ are drawn to a circle with centre ‘O’ from an external point T. The ∠PTQ =
A) ∠OPQ
B) 2∠OPQ
C) ∠POQ
D) 2∠POQ
Answer:
B) 2∠OPQ

Question 82.
In the adjacent figure PA and PB are tangents to a circle with centre ‘O’ then ∠OPA =
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 16
A) 45°
B) 50°
C) 70°
D) 35°
Answer:
A) 45°

Question 83.
In the adjacent figure if PA = 4 cm, BP = 3 cm and AC = 11 cm then BC =
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 17
A) 15 cm
B) 14 cm
C) 7 cm
D) 10 cm
Answer:
D) 10 cm

Question 84.
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 18 In the figure AB = 4cm, then BC = ……………….. cm
A) 6
B) 4
C) 2
D) 8
Answer:
C) 2

Question 85.
In the figure diametre of smaller circle is (in cms)
AP 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle with Answers 19
A) 4
B) 2
C) 1
D) 5
Answer:
C) 1

AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers

August 28, 2021

Practice the AP 10th Class Maths Bits with Answers Chapter 8 Similar Triangles on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 10th Class Maths Bits 8th Lesson Similar Triangles with Answers

Question 1.
In ΔABC, E and F are the points on the sides AB and AC respectively.
If AE = 2 cm, EB = 2.5 cm, AF = 4 cm and FC = 5 cm, then
A) EF ⊥ BC
B) EF ⊥ AB
C) EF || BC
D) EF || AB
Answer:
C) EF || BC

Question 2.
From the given figure, the value represented by ‘x’ is …………………
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 1
A) 12 cm
B) 11 cm
C) 13 cm
D) 16 cm
Answer:
C) 13 cm

Question 3.
From the given figure, ar (ΔADE): ar (ΔABC) =
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 2
A) 25 : 9
B) 9 : 64
C) 25 : 64
D) 9 : 25
Answer:
B) 9 : 64

Question 4.
The altitude of an equilateral triangle of side ‘x’ cm is
A) [latex]\frac{\sqrt{3}}{2}[/latex] x
B) [latex]\frac{2}{\sqrt{3}}[/latex] x
C) [latex]\frac{\sqrt{3}}{4}[/latex] x²
D) [latex]\frac{\sqrt{3}}{2}[/latex] x²
Answer:
A) [latex]\frac{\sqrt{3}}{2}[/latex] x

Question 5.
Areas of two similar triangles are 100 cm² and 64 cm². If the median of bigger triangle is 10 cm, then the median of the smaller triangle is …………………..
A) 10 cm
B) 6 cm
C) 4 cm
D) 8 cm
Answer:
D) 8 cm

Question 6.
If ΔPQR ~ ΔXYZ and ∠X= 30°, ∠Q=50°, then ∠Z = ………………….
A) 100°
B) ∠R
C) both A and B
D) not known
Answer:
C) both A and B

Question 7.
From the given figure, x = ……………….
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 3
A) 3
B) 2
C) 5
D) 1
Answer:
A) 3

Question 8.
In Heron’s formula, area of triangle = [latex]\sqrt{\mathbf{S ( S – a ) ( S – b ) ( S – c )}}[/latex], S is ……………… of the triangle.
A) Perimeter
B) Height
C) Half of perimeter
D) None
Answer:
C) Half of perimeter

Question 9.
In Δ ABC with ∠A = 90°; from A, perpendicular AD is drawn on BC. Which one of the following is not correct?
A) ∠A = ∠B
B) Δ DAC ~ Δ DBA
C) Δ ABC ~ Δ DBA
D) Δ ABC ~ Δ DBA ~ Δ DAC .
Answer:
A) ∠A = ∠B

Question 10.
If Δ PQR – ΔXYZ, QR = 3 cm, YZ = 4 cm, ar ΔPQR= 54 cm², then ar ΔXYZ = ………………
A) 13.5 cm²
B) 46 cm²
C) 96 cm²
D) 12 cm²
Answer:
C) 96 cm²

Question 11.
In the adjacent figure, AB = 3 cm, AC = 8 cm, BE = 4.5 cm, then CD = ………………..
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 4
A) 10.5 cm
B) 9.5 cm
C) 16 cm
D) 12 cm
Answer:
D) 12 cm

Question 12.
If ΔABC ~ ΔDEF and area (ΔABC) : area (ΔDEF) = 49 : 100. Then DE : AB = ………………….
A) 9 : 10
B) 10 : 7
C) 10 : 9
D) 7 : 10
Answer:
B) 10 : 7

Question 13.
In ΔABC, [latex]\overline{\mathrm{DE}} \| \overline{\mathrm{BC}}[/latex] and [latex]\frac{\mathrm{AD}}{\mathrm{DB}}=\frac{3}{5}[/latex] ,AC = 5.6, then AE =
A) 1.8 cm
B) 3.5 cm
C) 1.2 cm
D) 2.1 cm
Answer:
D) 2.1 cm

Question 14.
ΔABC ~ ΔPQR, ∠A = 50°, then ∠Q + ∠R =
A) 120°
B) 110°
C) 130°
D) 80°
Answer:
C) 130°

Question 15.
Area of regular hexagon of side ‘a’ units is …………….. sq. units
A) [latex]\frac{6 \sqrt{3}}{4}[/latex] a
B) [latex]\frac{6 \sqrt{3}}{7}[/latex] a²
C) [latex]\frac{6 \sqrt{3}}{2}[/latex] a²
D) [latex]\frac{6 \sqrt{3}}{4}[/latex] a²
Answer:
D) [latex]\frac{6 \sqrt{3}}{4}[/latex] a²

Question 16.
If ΔABC ~ ΔDEF, BC = 4 cm, EF = 5 cm area of ΔABC = 80 cm², then area of
ΔDFF = ……………. cm².
A) 64
B) 125
C) 144
D) 169
Answer:
B) 125

Question 17.
In a square, the diagonal is ……………… times of its side.
A) √7
B) √3
C) √2
D) 2
Answer:
C) √2

Question 18.
In a quadrilateral ABCD, if AB = CD, BC = AD and AC ≠ BD, then ABCD is ………………
A) parallelogram
B) trapezium
C) rhombus
D) square
Answer:
A) parallelogram

Question 19.
In ΔPQR, ∠R = 90° then hypotenuse is …………………..
A) PQ
B) PR
C) RP
D) PP
Answer:
A) PQ

Question 20.
ΔABC ~ ΔDEF if ∠E + ∠F = 130° then ∠A = …………………..
A) 60°
B) 70°
C) 80°
D) 50°
Answer:
D) 50°

Question 21.
The length of the diagonal of a square is 7√2 cm, then the area of the square is …………….cm².
A) 28
B) 14√2
C) 21
D) 49
Answer:
D) 49

Question 22.
In the given figure DE || BC and AE : EC = 4 : 7, then BC: DE = ………………
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 5
A) 11 : 4
B) 4 : 11
C) 11 : 3
D) 3 : 11
Answer:
A) 11 : 4

Question 23.
In a equilateral triangle ABC, D is a point on side BC, such that BD = [latex]\frac {1}{3}[/latex] BC.
Then 9 AD² = ………………
A) 3AB²
B) 5AB²
C) 7AB²
D) 4AB²
Answer:
C) 7AB²

Question 24.
The angles of a triangle are 30°, 60° and 90°. The ratio of its sides is ……………
A) 1 : 2 : √3
B) 1 : √3 : 2
C) √3 : 1 : 2
D) 1 : 2 : 3
Answer:
B) 1 : √3 : 2

Question 25.
In a equilateral triangle ABC, if AD ⊥ BC, then …………………..
A) 5AB² = 4AD²
B) 3AB² = 4AD²
C) 4AB² = 3AD²
D) 2AB² = 3AD²
Answer:
B) 3AB² = 4AD²

Question 26.
Two isosceles triangles have equal angles and their areas are in the ratio of 16 : 25, then the ratio of their corresponding heights is …………………
A) 4 : 5
B) 5 : 4
C) 3 : 2
D) 1 : 4
Answer:
A) 4 : 5

Question 27.
In ΔABC, AD is bisector of ∠A if BD = 5 cm, BC = 7.5 cm, then AB: AC = …………..
A) 2 : 1
B) 1 : 2
C) 4 : 5
D) 3 : 5
Answer:
A) 2 : 1

Question 28.
In the quadrilateral DEFG a circle is inscribed touching quadrilateral at R, S, P, Q. If ES = 5 cm, PF = 7 cm, QG = 5 cm, DR = 4 cm; then perimeter of the quadrilateral is …………………..
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 6
A) 40 cm
B) 21 cm
C) 42 cm
D) 20 cm
Answer:
C) 42 cm

Question 29.
If ΔABC ~ ΔEFD and ∠A = 40°, ∠F = 80° then ∠C = ………………….
A) 40°
B) 80°
C) 50°
D) 60°
Answer:
D) 60°

Question 30.
ΔABC ~ ΔPQR, AB = 3.6 cm, PQ = 24 cm and AC = 8.1 cm, PR = ……………. cm.
A) 3.6
B) 5.4
C) 7.8
D) 7.3
Answer:
B) 5.4

Question 31.
In ΔABC, D and E are midpoints of AB and AC then DE : BC
A) 4 : 1
B) 1 : 1
C) 1 : 2
D) 2 : 1
Answer:
C) 1 : 2

Question 32.
ΔABC ~ ΔDEF and perimeters of ΔABC and ΔDEF are 30 cm and 18 cm respectively. If BC = 9 cm, then EF =………………..
A) 6.3 cm
B) 5.4 cm
C) 7.2 cm
D) 4.5 cm
Answer:
B) 5.4 cm

Question 33.
According Baudhayan theorem AC² = ………………
A) AB/BC
B) AB² + BC²
C) AB + BC + AD
D) None of these
Answer:
B) AB² + BC²

Question 34.
ABC is a right triangle and right angled at C. If p is the length of perpendicular from C to AB with AB = c, BC = a, AC = b, then ………………..
A) [latex]\frac{1}{\mathrm{a}^{2}}=\frac{1}{\mathrm{~b}^{2}}-\frac{1}{\mathrm{p}^{2}}[/latex]
B) [latex]\frac{1}{p^{2}}=\frac{1}{a^{2}}-\frac{1}{b^{2}}[/latex]
C) [latex]\frac{1}{b^{2}}=\frac{1}{p^{2}}-\frac{1}{a^{2}}[/latex]
D) [latex]\frac{1}{p^{2}}=\frac{1}{a^{2}}+\frac{1}{b^{2}}[/latex]
Answer:
D) [latex]\frac{1}{p^{2}}=\frac{1}{a^{2}}+\frac{1}{b^{2}}[/latex]

Question 35.
The diagonals of a trapezium ABCD with AB || DC, intersect each other at the point O. If AB = 2 CD, then the ratio of areas of triangles AOB and COD is
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 7
A) 4 : 1
B) 1 : 4
C) 3 : 4
D) 4 : 3
Answer:
A) 4 : 1

Question 36.
AB, CD, PQ are perpendicular to BD. If AB = x, CD = y and PQ = z, then [latex]\frac{1}{z}[/latex] =
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 8
A) [latex]\frac{1}{x}+\frac{1}{y}[/latex]
B) xy
C) [latex]\frac{1}{x}-\frac{1}{y}[/latex]
D) 1
Answer:
A) [latex]\frac{1}{x}+\frac{1}{y}[/latex]

Question 37.
In the given fighre if LM || AB, AL = x – 3, AC = 2x,BM = x – 2 and BC = 2x + 3. Then the value of x is ……………..
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 9
A) 7
B) 8
C) 9
D) Cannot be determined
Answer:
C) 9

Question 38.
The diagonals of a quadrilateral ABCD intersect each other at a point O such that [latex]\frac{\mathrm{AO}}{\mathrm{BO}}=\frac{\mathrm{CO}}{\mathrm{DO}}[/latex] = . Then the quadrilateral ABCD is …………………….
A) trapezium
B) square
C) rectangle
D) parallelogram
Answer:
B) square

Question 39.
In the given figure, if AB || CD || EF given that AB = 7.5 cm, DC = y cm, EF = 4.5 cm, CF = 3 cm BC = x cm, then the value of x is ………………..
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 10
A) 4 cm
B) 5 cm
C) 6 cm
D) None
Answer:
C) 6 cm

Question 40.
If BL and CM are the medians of a triangle ABC right angled at A, then the value of 4(BL² + CM²) =
A) 3BC²
B) 5BC²
C) 7BC²
D) BC²
Answer:
B) 5BC²

Question 41.
If ABD is a triangle right angled at A and AC ⊥ BD, then AC² =
A) BC . BD
B) BD . CD
C) BC. DC
D) AD . AB
Answer:
C) BC. DC

Question 42.
In ΔABC, DE || BC and [latex]\frac{A D}{D B}=\frac{3}{5} .[/latex]. If AC = 5.6 cm, then AE =
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 11
A) 2 cm
B) 2.1 cm
C) 2.2 cm
D) 2.5 cm
Answer:
B) 2.1 cm

Question 43.
In a trapezium ABCD, AB || DC. E and F are points on non-parallel sides AD and BC respectively such that EF || AB. Then [latex]\frac{\mathrm{AE}}{\mathrm{ED}}[/latex] =
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 12
A) [latex]\frac{\mathrm{FC}}{\mathrm{BF}}[/latex]
B) [latex]\frac{\mathrm{ED}}{\mathrm{AE}}[/latex]
C) [latex]\frac{\mathrm{BF}}{\mathrm{FC}}[/latex]
D) None
Answer:
C) [latex]\frac{\mathrm{BF}}{\mathrm{FC}}[/latex]

Question 44.
Given that ΔABC ~ ΔDEF and their areas are 64 cm² and. 121 cm² respectively. If EF = 15.4 cm, then BC=
A) 2.11 cm
B) 21.1 cm
C) 1.21 cm
D) 11.2 cm
Answer:
D) 11.2 cm

Question 45.
If two triangles have the same base and area then they lies between …………….
A) parallel lines
B) two straight lines
C) perpendicular lines
D) intersecting lines
Answer:
A) parallel lines

Question 46.
A flagpole 4 m tall casts a 6m shadow. At the same time, a nearby building casts a shadow of 24 m. Then the height of the building is
A) 16 m
B) 20 m
C) 24 m
D) 18 m
Answer:
A) 16 m

Question 47.
In the figure below, PQ || BC. If AP = 3, PB = 4 and AQ = 4, then QC =
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 13
A) [latex]\frac{7}{3}[/latex]
B) [latex]\frac{4}{3}[/latex]
C) [latex]\frac{16}{3}[/latex]
D) [latex]\frac{3}{4}[/latex]
Answer:
C) [latex]\frac{16}{3}[/latex]

Question 48.
ΔABC ~ ΔDEF and their areas are 16 cm² and 81 cm² respectively.
If BC = 4 cm, then EF =
A) 5 cm
B) 4 cm
C) 11 cm
D) 9 cm
Answer:
A) 5 cm

Question 49.
In the figure below, DE || BC. If AD = x, AE = x + 2, DB = x – 2 and CE = x – 1, then x =
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 14
A) 4
B) 5
C) 6
D) 7
Answer:
A) 4

Question 50.
In the figure, x = ………………
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 15
A) 45°
B) 135°
C) 90°
D) 15°
Answer:
B) 135°

Question 51.
In the figure if MN || BC, AN = 3, NC = 18, MB = 24, then AM =
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 16
A) 2
B) 4
C) 6
D) 8
Answer:
B) 4

Question 52.
An observer of height 1.8 m is 13.2 m away from a palm tree. The angle of elevation of the top of the tree from his eyes is 45°. Then the height of the palm tree is
A) 13.2 m
B) 15 m
C) 14 m
D) 11.4 m
Answer:
C) 14 m

Question 53.
A boy goes 5m due west and then 5m due north. How far is he from the starting point?
A) 10 m
B) 10 √2 m
C) 5 m
D) 5 √2 m
Answer:
C) 5 m

Question 54.
In the figure CD = DA, and EF || BD, CF then [latex]\frac{\mathrm{CF}}{\mathbf{F B}}[/latex] = ………………
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 17
A) [latex]\frac{\mathrm{CD}}{\mathrm{DA}}[/latex]
B) [latex]\frac{C E}{D A}[/latex]
C) [latex]\frac{\mathrm{CE}}{\mathrm{ED}}[/latex]
D) [latex]\frac{\mathrm{CD}}{\mathrm{CA}}[/latex]
Answer:
C) [latex]\frac{\mathrm{CE}}{\mathrm{ED}}[/latex]

Question 55.
From the diagram, LM||CB and LN || CD. Which of the following is true?
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 18
A) [latex]\frac{\mathrm{AM}}{\mathrm{AB}}=\frac{\mathrm{AN}}{\mathrm{AD}}[/latex]
B) [latex]\frac{\mathrm{AM}}{\mathrm{MB}}=\frac{\mathrm{AN}}{\mathrm{ND}}[/latex]
C) [latex]\frac{\mathrm{AL}}{\mathrm{LC}}=\frac{\mathrm{AM}}{\mathrm{AN}}[/latex]
D) [latex]\frac{\mathrm{AD}}{\mathrm{BC}}=\frac{\mathrm{AD}}{\mathrm{DC}}[/latex]
Answer:
A) [latex]\frac{\mathrm{AM}}{\mathrm{AB}}=\frac{\mathrm{AN}}{\mathrm{AD}}[/latex]
or
B) [latex]\frac{\mathrm{AM}}{\mathrm{MB}}=\frac{\mathrm{AN}}{\mathrm{ND}}[/latex]

Question 56.
When we construct a triangle similar to a given triangle as per given scale f actor, we construct on the basis of ……………….
A) SSS similarity
B) AAA similarity
C) Basic proportionality theorem
D) A and C are correct
Answer:
C) Basic proportionality theorem

Question 57.
In ΔABC, DE || BC, If [latex]\frac{\mathrm{AD}}{\mathrm{DB}}=\frac{2}{3}[/latex] and AC = 18, then AE =
A) 36
B) 3.6
C) 72
D) 7.2
Answer:
D) 7.2

Question 58.
In the figure, DE || BC. AD = x, DB = x – 2, AE = x + 2 and CE = x – 1, then x =
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 19
A) 1
B) 2
C) 3
D) 4
Answer:
D) 4

Question 59.
If ΔABC ~ ΔXYZ, ∠C = 60° and ∠B = 75°, then ∠Z = ……………….
A) 45°
B) 60°
C) 75°
D) 90°
Answer:
A) 45°

Question 60.
If ΔABC ~ ΔDEF, ∠A = 50°, then ∠E + ∠F = ………………
A) 100°
B) 125°
C) 130°
D) 140°
Answer:
C) 130°

Question 61.
If ΔABC ~ ΔDEF, ∠A + ∠B = 130°, then ∠F = ……………..
A) 130°
B) 140°
C) 50°
D) 40°
Answer:
C) 50°

Question 62.
ΔABC ~ ΔPQR, If AB = 3.6, PQ = 2.4, PR = 5.4, then AC =
A) 3.6
B) 8.1
C) 5.4
D) 7.8
Answer:
B) 8.1

Question 63.
In ΔABC, [latex]\overline{\mathbf{P Q}} \| \overline{\mathbf{A B}}[/latex] , P, Q are on BC and AC. If CQ : QA = 1 : 3 and CP = 4, then BC =
A) 8
B) 12
C) 16
D) 4
Answer:
C) 16

Question 64.
If ΔABC ~ ΔDEF, such that 2AB = DE and BC = 8 cm, then EF = ……………. cm
A) 16
B) 12
C) 9
D) 4
Answer:
A) 16

Question 65.
ΔABC ~ ΔPQR, if AB = 6, BC = 4, AC = 8 and PR = 6, then PQ + QR = …………..
A) 8
B) 10
C) 7.5
D) 9
Answer:
C) 7.5

Question 66.
The ratio of perimeters of two similar triangles is 4 : 9, then the ratio of their areas is …………….
A) 16 : 9
B) 2 : 3
C) 16 : 81
D) 61 : 81
Answer:
C) 16 : 81

Question 67.
The perimeters of two similar triangles are 20 cm and 30 cm then the ratio of the areas of the triangles is ………………
A) 2 : 3
B) 3 : 2
C) 4 : 9
D) 9 : 4
Answer:
C) 4 : 9

Question 68.
The areas of two similar triangles are 16 cm² and 25 cm² respectively, then the ratio of their corresponding sides is ………………..
A) 5 : 4
B) 4 : 5
C) 16 : 25
D) 25 : 16
Answer:
B) 4 : 5

Question 69.
ΔABC ~ ΔDEF. If BC = 3 cm, EF = 4 cm and ar (ΔABC) = 54 cm² then ar (ΔDEF)=
A) 66 cm²
B) 79 cm²
C) 100 cm²
D) 96 cm²
Answer:
D) 96 cm²

Question 70.
The ratio of altitudes of two similar triangles is 4 : 9, then ratio of their areas is
A) 2 : 3
B) 4 : 9
C) 81 : 16
B) 4 : 9
D) 16 : 81
Answer:
D) 16 : 81

Question 71.
The areas of two similar triangles are 25 m² and 36 m². Median of smaller triangle is 10m, then median of the bigger triangle is
A) 15 m
B) 18 m
C) 16 m
D) 12 m
Answer:
D) 12 m

Question 72.
The ratio of areas of two similar triangles is 1: 2, then the ratio of their altitudes is
A) 1 : √2
B) 1 : 2
C) 2 : 1
D) √2 : 1
Answer:
A) 1 : √2

Question 73.
D, E are the mid-points of the sides AB and AC of ΔABC., then DE : BC = …………………
A) 3 : 1
B) 1 : 1
C) 2 : 1
D) 1 : 2
Answer:
D) 1 : 2

Question 74.
D, E are the mid-points of the sides AB and AC of ΔABC. Then DE : BC =
A) 8 cm
B) 6 cm
C) 4 cm
D) 12 cm
Answer:
A) 8 cm

Question 75.
In ΔABC, DE intersects AB and AC in the ratio 1 : 3, if DE = 2.4 cm, then BC = ……………..
A) 4.8 cm
B) 7.2 cm
C) 9.6 cm
D) 12.0 cm
Answer:
B) 7.2 cm

Question 76.
The ratios of corresponding medians of two similar triangles is 2 : 3, then the ratio of their perimeters is
A) 2 : 3
B) 3 : 2
C) 1 : 2
D) 2 : 1
Answer:
A) 2 : 3

Question 77.
The ratio of perimeters of two similar triangles is 9 : 16, then ratio of their altitudes is
A) 9 : 16
B) 3 : 4
C) 16 : 9
D) 4 : 3
Answer:
A) 9 : 16

Question 78.
In a ΔABC, if ∠A = 90°, and AD ⊥ BC, then AD² =
A) BD . DC
B) BC . BD
C) BD . BA
D) BA . BC
Answer:
A) BD . DC

Question 79.
Praveen goes 3 m due East and then 4 m due North. Then, his distance from the starting point is
A) 3 m
B) 4 m
C) 5 m
D) 7 m
Answer:
C) 5 m

Question 80.
In an equilateral triangle ABC, AD ⊥ BC, then 4 AD² =
A) 3 AC²
B) 3 AB²
C) 3 BC²
D) 2 BC²
Answer:
B) 3 AB²

Question 81.
In the rhombus ABCD, AB = 6 cm, then AC² + BD² =
A) 36
B) 144
C) 72
D) 90
Answer:
B) 144

Question 82.
ΔABC ~ ΔPQR, AB = 6, BC = 4, AC = 8, PR = 6, then PQ + QR =
A) 8
B) 10
C) 7.5
D) 9
Answer:
C) 7.5

Question 83.
Two figures are said to be similar if they have same
A) shape
B) size
C) size or shape
D) both size and shape
Answer:
A) shape

Question 84.
Two polygons with the same number of sides are similar if
A) corresponding angles are equal
B) corresponding sides are in proportion
C) corresponding angles are not equal
D) corresponding angles are equal and sides are in proportion
Answer:
D) corresponding angles are equal and sides are in proportion

Question 85.
Which of the following are not similar?
A) Allcircies
B) All squares
C) All quadrilaterals
D) All equilateral triangles
Answer:
C) All quadrilaterals

Question 86.
In ΔABC, DE || BC, then
A) [latex]\frac{\mathrm{AB}}{\mathrm{AC}}=\frac{\mathrm{AD}}{\mathrm{AE}}[/latex]
B) [latex]\frac{\mathrm{AD}}{\mathrm{DB}}=\frac{\mathrm{EC}}{\mathrm{AE}}[/latex]
C) [latex]\frac{\mathrm{AD}}{\mathrm{DB}}=\frac{\mathrm{AE}}{\mathrm{EC}}[/latex]
D) [latex]\frac{\mathrm{AD}}{\mathrm{DE}}=\frac{\mathrm{AE}}{\mathrm{EC}}[/latex]
Answer:
C) [latex]\frac{\mathrm{AD}}{\mathrm{DB}}=\frac{\mathrm{AE}}{\mathrm{EC}}[/latex]

Question 87.
In ΔABC, l intersects AB and AC in D and E such that [latex][/latex] , then
A) DE ⊥ BC
B) DE || BC
C) DE ~ BC
D) DE ≅ BC
Answer:
B) DE || BC

Question 88.
ΔPQR is formed by joining the midpoints of the sides of ΔABC, then the ratio of the areas of ΔPQR and ΔABC is
A) 4 : 1
B) 1 : 2
C) 2 : 1
D) 1 : 4
Answer:
D) 1 : 4

Question 89.
Which of the following is not the sides of a right triangle ?
A) 3, 4, 5
B) 5, 12, 13
C) 7, 24, 25
D) 4, 5, 6
Answer:
D) 4, 5, 6

Question 90.
In ΔABC, BC² + AB² = AC², then is a right angle.
A) ∠A
B) ∠B
C) ∠C
D) ∠A and ∠B
Answer:
B) ∠B

Question 91.
The adjacent figures state ……………… criterion of similarity.
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 20
A) AA
B) AAA
C) SAS
D) SSS
Answer:
A) AA

Question 92.
Which of the following figures are similar?
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 21
Answer:

Question 93.
In a ΔXYZ, if the internal bisector of ∠X meets YZ in P. Then
A) [latex]\frac{X Y}{X Z}=\frac{Y P}{P Z}[/latex]
B) [latex]\frac{\mathrm{XY}}{\mathrm{PZ}}=\frac{\mathrm{XZ}}{\mathrm{YP}}[/latex]
C) [latex]\frac{\mathrm{XY}}{\mathrm{XZ}}=\frac{\mathrm{PZ}}{\mathrm{XP}}[/latex]
D) [latex]\frac{X Z}{X Y}=\frac{Y Z}{Y P}[/latex]
Answer:
A) [latex]\frac{X Y}{X Z}=\frac{Y P}{P Z}[/latex]

Question 94.
In ΔABC and ΔA’B’C’, A’ corresponds to vertex A. We denote it symbolically as
A) A’ = A
B) A’ ~ A
C) A’ || A
D) A’ ↔ A
Answer:
D) A’ ↔ A

Question 95.
Two figures are said to be congruent if they have same
A) shape
B) size
C) size or shape
D) both size and shape
Answer:
B) size

Question 96.
Two triangles are similar if their corresponding
A) angles are equal
B) sides are in proportion
C) angles are equal (or) sides are in proportion
D) sides are not in proportion
Answer:
C) angles are equal (or) sides are in proportion

Question 97.
Symbol for “is similar to” is
A) =
B) ~
C) ≅
D) ⇒
Answer:
B) ~

Question 98.
Symbol for “is congruent to” is
A) =
B) ~
C) ≅
D) ⇒
Answer:
C) ≅

Question 99.
Basic proportionality theorem is also known as ……………… theorem.
A) Pythagoras
B) Thales
C) Similar
D) Perpendicular
Answer:
B) Thales

Question 100.
In a rhombus ABCD, AC² + BD² =
A) 4 AB²
B) 4 BC²
C) 4 CA²
D) All of these
Answer:
D) All of these

Question 101.
In a trapezium ABCD, AB || DC, and also EF || AB, then [latex]\frac{\mathrm{AE}}{\mathrm{ED}}[/latex] =
A) [latex]\frac{\mathrm{AB}}{\mathrm{DC}}[/latex]
B) [latex]\frac{\mathrm{AB}}{\mathrm{EF}}[/latex]
C) [latex]\frac{\mathrm{BF}}{\mathrm{AE}}[/latex]
D) [latex]\frac{\mathrm{BF}}{\mathrm{FC}}[/latex]
Answer:
D) [latex]\frac{\mathrm{BF}}{\mathrm{FC}}[/latex]

Question 102.
In ΔABC, D is the mid point of BC. Then AB² + AC² =
A) AD² + BD²
B) 2AD² + 2BD²
C) BD² + DC²
D) 2AC² + 2CD²
Answer:
B) 2AD² + 2BD²

Question 103.
In ΔABC, if ∠B = 90°, BD ⊥ AC, then
A) ΔADB ~ ΔBDC
B) ΔADB ~ ΔABC
C) ΔBDC ~ ΔABC
D) All of these
Answer:
D) All of these

Question 104.
Two ……………. are always similar
A) Triangles
B) Rectangles
C) Squares
D) Trapeziums
Answer:
C) Squares

Question 105.
Two ……………. are always similar
A) Triangles
B) Circles
C) Trapeziums
D) Rectangles
Answer:
B) Circles

Question 106.
The perimeters of two similar triangles are 30 cm and 20 cm respectively. If one side of the first triangle is 12 cm, then the corresponding side of the second triangle is …………….. cm
A) 8
B) 10
C) 12
D) 20
Answer:
A) 8

Question 107.
In a ΔABC, the bisector of ∠A intersects BC at D. If BD: DC = 4 : 7 and AC = 3.5 then AB =
A) 2
B) 3
C) 4
D)5
Answer:
A) 2

Question 108.
AD is the angular bisector of ‘A’. If AB = 6 cm, BD = 8 cm and DC = 6 cm, then AC = …………………. cm.
A) 4.5
B) 4
C) 4.8
D) 5.6
Answer:
A) 4.5

Question 109.
ΔABC is similar to ΔDEF is denoted as
A) ΔABC = ΔDEF
B) ΔABC ~ ΔDEF
C) ΔABC ≅ ΔDEF
D) ΔABC || ΔDEF
Answer:
B) ΔABC ~ ΔDEF

Question 110.
ΔABC is congruent to ΔDEF is denoted as
A) ΔABC = ΔDEF
B) ΔABC ~ ΔDEF
C) ΔABC ≅ ΔDEF
D) ΔABC || ΔDEF
Answer:
C) ΔABC ≅ ΔDEF

Question 111.
In the given figure , we observe the following relationship
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 23
A) [latex]\frac{\mathrm{PE}}{\mathrm{EQ}}=\frac{\mathrm{PE}}{\mathrm{FR}}[/latex]
B) EF ⊥ QR
C) EF || QR
D) EF = QR
Answer:
C) EF || QR

Question 112.
In the given figure, DE || BC, If [latex]\frac{\mathbf{A D}}{\mathbf{D B}}=\frac{1}{2}[/latex] and AE = 1.2 cm then EC = …………….. cm
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 24
A) 7.2
B) 4.7
C) 3.6
D) 2.4
Answer:
D) 2.4

Question 113.
In the adjacent figure, x = …………….., if AB || QR.
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 25
A) 4
B) 8
C) 12
D) 16
Answer:
A) 4

Question 114.
In the figure DE || BC, then x = …………………..
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 26
A) 2
B) 3
C) 4
D) 1.5
Answer:
A) 2

Question 115.
Observe the given figures and name the criterion of similarity.
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 27
A) AAA
B) ASA
C) SAS
D) No similarity
Answer:
D) No similarity

Question 116.
The adjacent figures state ………………… criterion of similarity.
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 28
A) AAA
B) SSS A
C) SAS
D) ASA
Answer:
C) SAS

Question 117.
Write the similarity relation in symbolic form.
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 29
A) Δ FGH ~ Δ HIK
B) Δ FGH ~ Δ KIH
C) Δ GFH ~ Δ HKI
D) Δ FHG ~ Δ IKH
Answer:
B) Δ FGH ~ Δ KIH

Question 118.
Write the similarity relation of triangles in symbolic form.
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 30
A) Δ AXY ~ Δ ABC
B) Δ XYA ~ Δ BAC
C) Δ YXA ~ Δ BCA
D) Δ XAY ~ Δ CAB
Answer:
A) Δ AXY ~ Δ ABC

Question 119.
In the given similar triangles, the value of x =
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 31
A) 4.5
B) 6.5
C) 7.5
D) 8.5
Answer:
C) 7.5

Question 120.
Find the value of y if the given triangles are similar.
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 32
A) 1.5
B) 2.5
C) 3.5
D) 4.5
Answer:
B) 2.5

Question 121.
In the given figure, DE || BC and AD : DB = 5 : 4, then AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 33 1 =

A) [latex]\frac{81}{25}[/latex]
B) [latex]\frac{5}{9}[/latex]
C) [latex]\frac{5}{4}[/latex]
D) [latex]\frac{25}{81}[/latex]
Answer:
D) [latex]\frac{25}{81}[/latex]

Question 122.
In ΔABC, D, E are the mid-points of the sides AB and AC, then ar (ΔADE ) : ar ( AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 34 BCED) =
A) 1 : 4
B) 1 : 3
C) 2 : 1
D) 3 : 2
Answer:
B) 1 : 3

Question 123.
In figure, QA ⊥ AB, PB ⊥ AB. If AO = 10 cm, BO = 6 cm and PB = 9 cm, then AQ = …………………. cm
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 35
A) 15
B) 30
C) 45
D) 70
Answer:
A) 15

Question 124.
In the given figure, if ar (ΔPOB) =32 cm², then ar(ΔQOA) is
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 36
A) 40 cm²
B) 50 cm²
C) 75 cm²
D) 150 cm²
Answer:
B) 50 cm²

Question 125.
In figure, ΔABC ~ ΔDEF. AB = 5 cm, area (ΔABC) = 20 cm², area (ΔDEF) = 45 cm² then DE =
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 37
A) 2.0 cm
B) 4.5 cm
C) 7.5 cm
D) 9.5 cm
Answer:
C) 7.5 cm

Question 126.
In the given figure, CD is
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 38
A) 16 cm
B) 64 cm
C) 4 cm
D) 36 cm
Answer:
A) 16 cm

Question 127.
Diagonal of right angled triangle ABC is 8 cm, then its median BM =
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 39
A) 2 cm
B) 3 cm
C) 4 cm
D) 5 cm
Answer:
C) 4 cm

Question 128.
In the fig. ΔABC ~ ΔDEF. Name the criterion of similarity.
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 40
A) SSS
B) SAS
C) AAA
D) RHS B
Answer:
B) SAS

Question 129.
The adjacent figures state …………….. criterion of similarity.
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 41
A) SSS
B) SAS
C) AAA
D) AA
Answer:
C) AAA

Question 130.
In the given fig. LM || CB and LN || CD, then
AP 10th Class Maths Bits Chapter 8 Similar Triangles with Answers 42
A) [latex]\frac{A N}{N D}=\frac{A M}{A B}[/latex]
B) [latex]\frac{\mathrm{AN}}{\mathrm{AL}}=\frac{\mathrm{AM}}{\mathrm{ML}}[/latex]
C) [latex]\frac{\mathrm{AM}}{\mathrm{MB}}=\frac{\mathrm{AN}}{\mathrm{ND}}[/latex]
D) [latex]\frac{A M}{M B}=\frac{A N}{A D}[/latex]
Answer:
C) [latex]\frac{\mathrm{AM}}{\mathrm{MB}}=\frac{\mathrm{AN}}{\mathrm{ND}}[/latex]

AP 10th Class Maths Bits Chapter 7 Coordinate Geometry with Answers

August 27, 2021

Practice the AP 10th Class Maths Bits with Answers Chapter 7 Coordinate Geometry on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 10th Class Maths Bits 7th Lesson Coordinate Geometry with Answers

Question 1.
If a line is passing through (2, 3) and (2, -3), then
1) the line is parallel to X – axis.
2) the line is parallel to Y – axis.
3) the slope of the line is not defined.
4) the slope of the line is zero.
A) 2 and 3 are correct.
B) 1 and 3 are correct.
C) 1 and 2 are correct.
D) 2 and 4 are correct.
Answer:
A) 2 and 3 are correct.

Question 2.
If A(log₂8, log₅25) and B(log₁₀10, log₁₀100), then the mid-point of AB is
A) (2, 2)
B) (3, 2)
C) (1, 2)
D) (4, 4)
Answer:
D) (4, 4)

Question 3.
The nearest point to origin is
A) (2, -3)
B) (5, 0)
C) (0,-5)
D) (1, 3)
Answer:
A) (2, -3)

Question 4.
The point (0, 5) lies on ……………….
A) Both X and Y – axes
B) Origin
C) Y-axis
D) X – axis
Answer:
C) Y-axis

Question 5.
If origin is the centroid of a triangle, whose vertices are (3, 2), (-6, y) and (3,-2), then y = ………………….
A) 0
B) 3
C) 2
D) 6
Answer:
A) 0

Question 6.
Which of the following cannot be a point on X-axis ?
A) (-2, 0)
B) (0, 2)
C) (2, 0)
D) (4, 0)
Answer:
B) (0, 2)

Question 7.
Which of the following is the point of intersection of X – axis and the line y = x + 5?
A) (0, 5)
B) (5, 0)
C) (0, -5)
D) (-5, 0)
Answer:
D) (-5, 0)

Question 8.
The area of the triangle BOA is ……………… sq units.

A) 1
B) 2
C) 3
D) 4
Answer:
C) 3

Question 9.
The distance between two points A(a cosθ, 0), B(0, asinθ) is ……………….
A) a
B) a²
C) √a
D) 0
Answer:
A) a

Question 10.
(x, y), (2, 0), (3, 2) and (1, 2) are vertices of a parallelogram then (x, y)
A) (0, 0)
B) (4, 8)
C) (1, 0)
D) (5, 0)
Answer:
A) (0, 0)

Question 11.
Total distance from X-axis to A(3, 4) and Y-axis to B(5, 7) is ……………………..
A) 8
B) 10
C) 11
D) 9
Answer:
D) 9

Question 12.
Distance between the points A(log₁₀100, tan 45°),
B(cosec 30°.log₇343) is
A) [latex]\sqrt{13}[/latex]T units
B) [latex]\sqrt{10}[/latex] units
C) [latex]\sqrt{34}[/latex] units
D) √5 units
Answer:
D) √5 units

Question 13.
The point (-5, -8) lies in ………. quadrant.
A) I
B) II
C) III
D) IV
Answer:
C) III

Question 14.
The line x = -3 is
A) parallel to X – axis
B) parallel to Y – axis
C) passes through origin
D) passes through (0, -3)
Answer:
B) parallel to Y – axis

Question 15.
The area of a triangle is zero means …………………
A) points are parallel
B) points are collinear
C) points are equal
D) points are negative
Answer:
B) points are collinear

Question 16.
The formula of the area of a triangle is ………………….
AP 10th Class Maths Bits Chapter 7 Coordinate Geometry with Answers 2
Answer:

Question 17.
Slope of the line 3x – αy +1 = 0 is 4 then α = …………………..
A) [latex]\frac {3}{4}[/latex]
B) [latex]\frac{-3}{4}[/latex]
C) [latex]\frac {1}{3}[/latex]
D) [latex]\frac{-1}{3}[/latex]
Answer:
D) [latex]\frac{-1}{3}[/latex]

Question 18.
Sides of two similar triangles are in the ratio of 4:9. Area of these triangles are in the ratio of ………………
A) 2 : 3
B) 4 : 9
C) 81 : 16
D) 16 : 81
Answer:
D) 16 : 81

Question 19.
The point at which the line 2x + y = 8 intersects the X-axis is ………………….
A) (8, 0)
B) (0, 8)
C) (0, 4)
D) (4, 0)
Answer:
D) (4, 0)

Question 20.
Three consecutive vertices of a parallelogram are (-2, 1), (1, 0) and (4, 3). Then 4^th vertex is ………………
A) (1, 4)
B) (1, -2)
C) (-1, 2)
D) (-1, -2)
Answer:
A) (1, 4)

Question 21.
The ratio in which the line segment joining the points (4, 6) and (-7, -1) divided by X- axis is ………………….
A) 6 : 1
B) 1 : 6
C) 4 : 7
D) 7 : 4
Answer:
A) 6 : 1

Question 22.
Slope of the line joining (-α, α) and (α, α + α√3) is …………………
A) [latex]\frac{2}{\sqrt{3}}[/latex]
B) [latex]\frac{1}{\sqrt{3}}[/latex]
C) √3
D) [latex]\frac{\sqrt{3}}{2}[/latex]
Answer:
D) [latex]\frac{\sqrt{3}}{2}[/latex]

Question 23.
If the centroid of the triangle formed with (a, b), (b, c) and (c, a) is O(0,0), then
a³ + b³ + c³ =
A) a + b + c
B) [latex]\frac{a+b+c}{3}[/latex]
C) [latex]\frac{a b c}{3}[/latex]
D) 3abc
Answer:
D) 3abc

Question 24.
If A(p, q), B(m, n) and C(p-m, q-n) are collinear, then……………….
A) [latex]\frac{\mathrm{p}}{\mathrm{n}}=\frac{\mathrm{q}}{\mathrm{m}}[/latex]
B) [latex]\frac{\mathrm{p}}{\mathrm{m}}=\frac{\mathrm{q}}{\mathrm{n}}[/latex]
C) p + q = m + n
D) p + q + m + n = 0
Answer:
B) [latex]\frac{\mathrm{p}}{\mathrm{m}}=\frac{\mathrm{q}}{\mathrm{n}}[/latex]

Question 25.
If P = {3x/x ∈N,x ≤ 50},
Q = {5x/x ∈N, x ≤ 30}, then n(P ∩ Q) =……………..
A) 5
B) 8
C) 10
D) 15
Answer:
C) 10

Question 26.
(3, -1), (2, 6) and (-5, 7) are the midpoints of the sides of the triangle ABC. The area of triangle ABC is ………………. sq. units
A) 96
B) 69
C) 86
D) 110
Answer:
A) 96

Question 27.
The ratio in which X-axis divides the line segment joining the points (5, 4) and (5, -3) is ……………..
A) 5 : 2
B) 3 : 4
C) 2 : 5
D) 4 : 3
Answer:
D) 4 : 3

Question 28.
AOBC is a rectangle with A = (0, 3), O (0, 0) and B (5, 0), then the length of
its diagonals is ………………
A) 5
B) 3
C) [latex]\sqrt{34}[/latex]
D) 4
Answer:
C) [latex]\sqrt{34}[/latex]

Question 29.
The points (-4, 0), (4, 0), (0, 3) are vertices of ……………….
A) right angled triangle
B) isosceles triangle
C) equilateral triangle
D) scalene triangle
Answer:
B) isosceles triangle

Question 30.
In the given figure AC pass through center of the circle, then the area of the shaded region
region in the given figure is ………………
AP 10th Class Maths Bits Chapter 7 Coordinate Geometry with Answers 4
A) [latex]\frac{x^{2}}{2}[/latex] (3 – π)
B) x²([latex]\frac{\pi}{2}[/latex] – 1)
C) 2x²(π – 1 )
D) [latex]\frac{x^{2}}{2}\left(\frac{\pi}{2}-1\right)[/latex]
Answer:
D) [latex]\frac{x^{2}}{2}\left(\frac{\pi}{2}-1\right)[/latex]

Question 31.
The points of trisection of the line segment joining (2, -2), (-7, 4) are
A) (1, 0), (-4, 2)
B) (-1, 0), (-4, 2)
C) (-1, 0), (-4, -2)
D) (1, 0), (4, 2)
Answer:
B) (-1, 0), (-4, 2)

Question 32.
The points which divide the line segment joining A(-2, 2) and B(2, 8) into four equal parts are)
AP 10th Class Maths Bits Chapter 7 Coordinate Geometry with Answers 5
Answer:

Question 33.
The end points of a line are (2, 3), (4, 5). Then its slope is
A) 4
B) 3
C) 2
D) 1
Answer:
D) 1

Question 34.
The value of k for which the points (7, -2), (5, 1), (3, k) are collinear is
A) 4
B) 3
C) 2
D) 1
Answer:
A) 4

Question 35.
The points A(7, 3), B(6, 1), C(8, 2) and D(9, 4) taken in that order are the vertices of
A) square
B) rhombus
C) parallelogram
D) trapezium
Answer:
B) rhombus

Question 36.
If (a, 2) lies in II quadrant, then (-a, -2) lies in which quadrant ?
A) I
B) II
C) III
D) IV
Answer:
D) IV

Question 37.
The quadrilateral formed by the points A(0, -1), B(2, 1), C(0, 3) and D(-2, 1) taken in the same order is
A) rectangle
B) parallelogram
C) square
D) rhombus
Answer:
C) square

Question 38.
If P(3, 4) and Q(7, 7) are two points and PR = 10, where P, Q and R are collinear, then R =
A) (10,10)
B) (11, 11)
C) (11, 10)
D) (11, -10)
Answer:
C) (11, 10)

Question 39.
If (-2, 1), (1, 0) and (4, 3) are three consecutive vertices of a parallelogram, then the fourth vertex is
A) (2, 1)
B) (1, 4)
C) (0, 0)
D) (2, 2)
Answer:
A) (2, 1)

Question 40.
(0, 0), (1, 0), (0, -4) are the vertices of a …………….. triangle.
A) equilateral
B) isosceles
C) right-angled isosceles
D) right-angled
Answer:
D) right-angled

Question 41.
If (8,1), (k, -4), (2, -5) are collinear, then k =
A) 1
B) 2
C) 3
D) 4
Answer:
C) 3

Question 42.
If the slope of the line through (2, -7) and (x, 5) is 3 then x =
A) 4
B) 5
C) 6
D) 7
Answer:
C) 6

Question 43.
The distance between the points (cosθ, sinθ) and (-sinθ, cosθ) is
A) 1
B) √2
C) 2
D) √3
Answer:
B) √2

Question 44.
The number of elements in a triangle is
A) 3
B) 4
C) 6
D) 5
Answer:
C) 6

Question 45.
The graph of y + x² = 0 lies in the quadrants
A) Q₁, Q₂
B) Q₂, Q₃
C) Q₃, Q₄
D) Q₄, Q₁
Answer:
C) Q₃, Q₄

Question 46.
The line x = 2017 is
A) Slope not defined
B) Parallel to Y – axis
C) 1 and 2
D) None
Answer:
C) 1 and 2

Question 47.
If (k, 2) lies in II quadrant then (-k, -2) lies in the quadrant
A) I
B) II
C) III
D) IV
Answer:
D) IV

Question 48.
The points A(1, 7), B(4, 2), C(-1, -1) and D(-4, 4) are
A) collinear
B) vertices of a square
C) vertices of a rectangle
D) None of these
Answer:
B) vertices of a square

Question 49.
If P divides the line joining A(x₁, y₁) and B(x₂, y₂) internally in the ratio m₁ : m₂, then P is
AP 10th Class Maths Bits Chapter 7 Coordinate Geometry with Answers 7
Answer:

Question 50.
The distance between the points A(4, 3) and B(8, 6) is …………… units.
A) 5
B) 6
C) 4
D) 7
Answer:
C) 4

Question 51.
The points A(1, 5), B(2, 3) and C(-2, -1) are
A) vertices of a right-angled triangle
B) vertices of an isosceles triangle
C) collinear
D) non-collinear
Answer:
D) non-collinear

Question 52.
The midpoint of A(1, 5) and B (-2, -1) is
A) ([latex]\frac {1}{2}[/latex], 2)
B) (2, [latex]\frac {1}{2}[/latex])
C) (-[latex]\frac {1}{2}[/latex], 2)
D) (-[latex]\frac {1}{2}[/latex], -2
Answer:
C) (-[latex]\frac {1}{2}[/latex], 2)

Question 53.
If a line makes an angle 45° with positive X-axis, then its slope is
A) [latex]\frac{1}{\sqrt{2}}[/latex]
B) [latex]\frac {1}{2}[/latex]
C) [latex]\frac{\sqrt{3}}{2}[/latex]
D) 1
Answer:
A) [latex]\frac{1}{\sqrt{2}}[/latex]

Question 54.
The area of the triangle formed by three vertices O(0, 0), A(1, 0), B(0, 1) is ………………. sq. units.
A) o
B) 1/2
C) 1
D) 2
Answer:
B) 1/2

Question 55.
At which point does the straight line y = x + 7 intersect X – axis ?
A) (7, 0)
B) (0, 7)
C) (0, -7)
D) (-7, 0)
Answer:
D) (-7, 0)

Question 56.
Where do the following points (-4, 0), (2, 0), (6, 0), (-8, 0) lie in the coordinate axes ?
A) First Quadrant
B) Y-axis
C) X-axis
D) Fourth Quadrant
Answer:
C) X-axis

Question 57.
The distance between the points (0, 0), (X₁,Y₁) is ………………units.
A) [latex]\sqrt{x_{1}^{2}+y_{1}^{2}}[/latex]
B) [latex]\sqrt{x_{1}+y_{1}}[/latex]
C) [latex]\sqrt{x^{2}+y^{2}}[/latex]
D) [latex]\sqrt{x+y}[/latex]
Answer:
A) [latex]\sqrt{x_{1}^{2}+y_{1}^{2}}[/latex]

Question 58.
The slope of a ladder making an angle 60° with the floor is ……………………..
AP 10th Class Maths Bits Chapter 7 Coordinate Geometry with Answers 9
A) 1
B) [latex]\frac {1}{2}[/latex]
C) [latex]\frac{1}{\sqrt{3}}[/latex]
D) √3
Answer:
D) √3

Question 59.
The mid point of the line joining the points (4, 5), (- 6, 3) is ………………
A) (1, 4)
B) (-1, 4)
C) (1, -4)
D) (-1, – 4)
Answer:
B) (-1, 4)

Question 60.
The distance of the point (3, – 4) from X- axis is ………………..
A) 3
B) 4
C) 5
D) 1
Answer:
C) 5

Question 61.
The slope of the line joining (2, 1) (3, 6) is …………………..
A) 5
B) 4
C) 3
D) 2
Answer:
A) 5

Question 62.
The line passing through the point (0,0) is
A) y = 2
B) x = 5
C) y = x
D) y = 2x + 3
Answer:
C) y = x

Question 63.
Slope of the line 5x – 6y + 10 = 0 is
A) [latex]\frac{5}{6}[/latex]
B) [latex]\frac{-5}{6}[/latex]
C) [latex]\frac{6}{5}[/latex]
D) [latex]\frac{-6}{5}[/latex]
Answer:
A) [latex]\frac{5}{6}[/latex]

Question 64.
The distance between the points (3, 2) and (2, 4) is …………………. units.
A) √5
B) √6
C) √3
D) √2
Answer:
A) √5

Question 65.
The centroid of the triangle with vertices (2, 1), (3, 2), (1, 3) is
A) (3, 5)
B) (2, 2)
C) (3, 3)
D) (3, 6)
Answer:
B) (2, 2)

Question 66.
If the line 4x + 5y = k passing through the origin, then k is
A) -1
B) 2
C) 0
D) 3
Answer:
C) 0

Question 67.
The area of the triangle whose vertices are (0, 0), (x, 0) and (0, y) is
A) xy
B) [latex]\frac {1}{2}[/latex] xy
C) [latex]\frac {1}{2}[/latex] x + y
D) x + y
Answer:
B) [latex]\frac {1}{2}[/latex] xy

Question 68.
The slope of the line perpendicular to the line 2x + y + 4 = 0 is
A) -2
B) 2
C) [latex]\frac {1}{2}[/latex]
D) -[latex]\frac {1}{2}[/latex]
Answer:
D) -[latex]\frac {1}{2}[/latex]

Question 69.
The slope of the line parallel to the line 2x + y + 4 = 0 is
A) 2
B) -2
C) [latex]\frac {1}{2}[/latex]
D) -[latex]\frac {1}{2}[/latex]
Answer:
A) 2

Question 70.
The equation of the line having slope 1 and passing through (3, 2) is
A) x + y = 1
B) x – y = 1
C) 2x – y + 1 = 0
D) x – 2y + 1 = 0
Answer:
B) x – y = 1

Question 71.
Slope of the line joining the points (a, 0) and (0, 5) is
A) -b
B) [latex]\frac{a}{b}[/latex]
C) – [latex]-\frac{b}{a}[/latex]
D) [latex]\frac{1}{a}[/latex]
Answer:
C) – [latex]-\frac{b}{a}[/latex]

Question 72.
The distance of the point (3, p) from origin is 5 units then p is
A) 7
B) 6
C) 5
D) 4
Answer:
D) 4

Question 73.
A = (8, 3), B= (x, 3) and [latex]\overline{\mathbf{A B}}[/latex] = 12 units then x is
A) -4
B) 14
C) 8
D) 20
Answer:
D) 20

Question 74.
Distance of the point (tanθ, 1) from origin is
A) cotθ
B) sinθ
C) tanθ
D) secθ
Answer:
D) secθ

Question 75.
The perimeter of a triangle formed by the points (0,0), (1,0)and (0, 1) is ………………….units.
A) √2
B) 2 + √2
C) 2 – √2
D) 2 √2
Answer:
B) 2 + √2

Question 76.
Find the value of k for which of (7, -2), (5, 1), (3, k) are collinear
A) [latex]\frac {4}{5}[/latex]
B) [latex]\frac {11}{5}[/latex]
C) [latex]\frac {5}{5}[/latex]
D) [latex]\frac {7}{5}[/latex]
Answer:
B) [latex]\frac {11}{5}[/latex]

Question 77.
Find the centroid of (-1, 3), (6, -3), (-3, 6)
A) ([latex]\frac {2}{3}[/latex], 2)
B) (1, [latex]\frac {2}{3}[/latex])
C) (-1, [latex]\frac {2}{3}[/latex])
D) (-[latex]\frac {2}{3}[/latex], 1)
Answer:
A) ([latex]\frac {2}{3}[/latex], 2)

Question 78.
A = (4, 2); B = (1, y) and AB = 5 then y = ………………..
A) 6
B) 3
C) 9
D) 2
Answer:
A) 6

Question 79.
A straight line which is parallel to x – y + 1 = 0 is ………………..
A) x – y + k = 0
B) x + y + k = 0
C) ax + by + c = 0
D) 2x + 3y + k = 0
Answer:
A) x – y + k = 0

Question 80.
If the distance of a point from X – axis is 8 units and its distance from Y – axis is 3 units then the point is denoted by
A) (8, 3)
B) (-8, 3)
C) (-3, 8)
D) (3, 8)
Answer:
D) (3, 8)

Question 81.
The slope of the line parallel to 3x – by + 7 = 0 is 3 then b = ………………..
A) 3
B) 4
C) 1
D) 5
Answer:
C) 1

Question 82.
The slope of the line perpendicular to 13x – 7y + 1 = 0 is ……………….
A) [latex]\frac{-7}{13}[/latex]
B) [latex]\frac{7}{3}[/latex]
C) -[latex]\frac{7}{3}[/latex]
D) [latex]\frac{13}{7}[/latex]
Answer:
A) [latex]\frac{-7}{13}[/latex]

Question 83.
The coordinates of the centre of the circle having the points (9, 3) and (1, -1) as the end points of the diameter is ………………..
A) (6, 9)
B) (5, 1)
C) (1, 3)
D) (- 1, – 3)
Answer:
B) (5, 1)

Question 84.
One end of the diameter of a circle is (3, 2) and the centre is (0, 0) then the other end point is
A) (8, 4)
B) (3, 2)
C) (- 3, – 2)
D) (5, 1)
Answer:
C) (- 3, – 2)

Question 85.
The mid point of the line segment (3, x) and (1, – 4) is (2, 1) then x =
A) 2
B) – 1
C) 6
D) 0
Answer:
C) 6

Question 86.
The point that lies in IV quadrant
A) (2, 3)
B) (-3, -2)
C) (4, -3)
D) (-2, 3)
Answer:
C) (4, -3)

Question 87.
The point that lies in III quadrant
A) (5, 4)
B) (-5, -4)
C) (-5, 4)
D) (5, -4)
Answer:
B) (-5, -4)

Question 88.
The point that lies in II quadrant is ………………
A) (-2, 3)
B) (2, -3)
C) (2, 3)
D) (0, 0)
Answer:
A) (-2, 3)

Question 89.
x > 0, y > 0, then (x, y) ∈ ………………..
A) Q₁
B) Q₂
C) Q₃
D) Q₄
Answer:
A) Q₁

Question 90.
x < 0, y > 0 then (x, y) ∈ ……………..
A) Q₁
B) Q₂
C) Q₃
D) Q₄
Answer:
B) Q₂

Question 91.
x < 0, y < 0 then (x, y) ∈ ………………
A) Q₁
B) Q₂
C) Q₃
D) Q₄
Answer:
C) Q₃

Question 92.
x > 0, y < 0 then (x, y) ∈ ……………..
A) Q₁
B) Q₂
C) Q₃
D) Q₄
Answer:
D) Q₄

Question 93.
Slope of the line [latex]\frac{x}{a}+\frac{y}{b}[/latex] = 1 is
A) [latex]\frac{1}{b}[/latex]
B) [latex]\frac{1}{a}[/latex]
C) [latex]\frac{a}{b}[/latex]
D) -[latex]\frac{\mathrm{b}}{\mathrm{a}}[/latex]
Answer:
D) -[latex]\frac{\mathrm{b}}{\mathrm{a}}[/latex]

Question 94.
Slope of the line x = 9 is
A) 9
B) – 9
C) 0
D) 5
Answer:
A) 9

Question 95.
The distance between the pointsP(x, y) from origin O (0, 0) is
A) [latex]\sqrt{x+y}[/latex]
B) [latex]\sqrt{x^{2}+y^{2}}[/latex]
C) x² + y²
D) x + y
Answer:
B) [latex]\sqrt{x^{2}+y^{2}}[/latex]

Question 96.
A point on the X – axis
A) (3, 3)
B) (4, 5)
C) (2, 0)
D) (0, 2)
Answer:
C) (2, 0)

Question 97.
A point on the Y – axis
A) (4, 5)
B) (0, 3)
C) (3, 0)
D) (4, 3)
Answer:
B) (0, 3)

Question 98.
The ratio in which the centroid divides the median of a triangle is
A) 1 : 2
B) 2 :1
C) 1 : 3
D) 3 : 1
Answer:
C) 1 : 3

Question 99.
Intercept form of a line is …………….
A) [latex]\frac{x}{a}+\frac{y}{b}[/latex] = 1
B) x – y = 7
C) [latex]\frac{x}{a}+\frac{y}{b}[/latex] = 1
D) y = mx + c
Answer:
A) [latex]\frac{x}{a}+\frac{y}{b}[/latex] = 1

Question 100.
X – intercept of the line ax + by + c = 0 is
A) [latex]\frac{-\mathrm{c}}{\mathrm{a}}[/latex]
B) [latex]\frac{c}{a}[/latex]
C) [latex]\frac{a}{c}[/latex]
D) [latex]\frac{1}{c}[/latex]
Answer:
C) [latex]\frac{a}{c}[/latex]

Question 101.
The line y = mx + c meets Y – axis at the point ……………..
A) (0, 0)
B) (c, 0)
C) (0, c)
D) (0, m)
Answer:
C) (0, c)

Question 102.
The line y = mx + c meets X – axis at the point ………………..
A) (0, 0)
B) (c, 0)
C) (0, c)
D) (0, m)
Answer:
B) (c, 0)

Question 103.
Slope of a line can be taken as ………………
A) cosθ
B) tanθ
C) cosecθ
D) sinθ
Answer:
B) tanθ

Question 104.
The mid point of a line segment divides in the ratio
A) 2 : 1
B) 1 : 2
C) 1 : 1
D) 8 : 7
Answer:
C) 1 : 1

Question 105.
x = 0 represents …………………
A) X – axis
B) Y – axis
C) (0, 0)
D) y = mx + C
Answer:
B) Y – axis

Question 106.
y = 0 represents ………………….
A) X – axis
B) Y – axis
C) (0, 0)
D) y = mx + C
Answer:
A) X – axis

Question 107.
x = k represents ……………….
A) parallel to X – axis
B) parallel to Y – axis
C) parallel to X, Y axes
D) (0, 0)
Answer:
B) parallel to Y – axis

Question 108.
y = k represents ………………
A) parallel to X – axis
B) parallel to Y – axis
C) parallel to X, Y axes
D) (0, 0)
Answer:
A) parallel to X – axis

Question 109.
In the coordinate plane the axes are ……………. to each other.
A) parallel
B) perpendicular
C) either perpendicular or parallel
D) neither parallel nor perpendicular
Answer:
B) perpendicular

Question 110.
The distance of a point from Y – axis is called …………………..
A) y – coordinate
B) x – coordinate
C) origin
D) (0, 0)
Answer:
B) x – coordinate

Question 111.
The distance of a point from X – axis is called ………………..
A) x – coordinate
B) y – coordinate
C) origin
D) coordinate
Answer:
B) y – coordinate

Question 112.
The coordinates of origin are
A) (0, 0)
B) (1, 1)
C) (1, 0)
D) (0, 1)
Answer:
A) (0, 0)

Question 113.
The point which is not on the X – axis
A) (-1, 0)
B) (8, 0)
C) (0, 8)
D)(-2, 0)
Answer:
C) (0, 8)

Question 114.
The point which is not on the Y – axis is
A) (-2, 0)
B) (0, 2)
C) (0, -3)
D) (0, 4)
Answer:
A) (-2, 0)

Question 115.
Area of a triangle enclosed by the axis and the line [latex]\frac{x}{a}+\frac{y}{b}[/latex] = 1 is a b
A) [latex]\frac{\mathrm{ab}}{3}[/latex]
B) [latex]\frac{a^{2} b^{2}}{2}[/latex]
C) [latex]\frac{\mathrm{ab}}{2}[/latex]
D) [latex]\frac{a+b}{2}[/latex]
Answer:
C) [latex]\frac{\mathrm{ab}}{2}[/latex]

Question 116.
If G is the centroid of ΔABC, then ΔGAB = ……………….
A) [latex]\frac {1}{13}[/latex]ABC
B) [latex]\frac {1}{4}[/latex]ABC
C) [latex]\frac {1}{2}[/latex]ABC
D) [latex]\frac {1}{3}[/latex]ABC
Answer:
D) [latex]\frac {1}{3}[/latex]ABC

Question 117.
The two lines x = 2 and y = -3 will meet at ………………….
A) (1, 8)
B) (2, 4)
C) (-2, 1)
D) (2, -3)
Answer:
D) (2, -3)

Question 118.
Angle made by the line y = x with the positive direction of X – axis is
A) 80°
B) 45°
C) 90°
D) 100°
Answer:
B) 45°

Question 119.
To locate the exact position of a point the number of references we need is ……………….
A) 0
B) 1
C) 2
D) 3
Answer:
C) 2

Question 120.
In a coordinate system the horizontal line is called ………………………
A) Y – axis
B) X – axis
C) origin
D) reference
Answer:
B) X – axis

Question 121.
In a coordinate system the vertical line is called …………………..
A) Y – axis
B) X – axis
C) origin
D) reference
Answer:
A) Y – axis

Question 122.
The meeting point of the two axis in the coordinate plane is called
A) origin
B) X – axis
C) Y – axis
D) (2, 3)
Answer:
A) origin

Question 123.
The point which lies on both the axis is
A) (1, 1)
B) (2, 2)
q (-1, -1)
D) (0, 0)
Answer:
D) (0, 0)

Question 124.
The x – coordinate of a point is also called
A) ordinate
B) 2^nd coordinate
C) abscissa
D) origin
Answer:
C) abscissa

Question 125.
The y – coordinate of a point is also called
A) ordinate
B) abscissa
C) 1^st coordinate
D) origin
Answer:
A) ordinate

Question 126.
The coordinates of a point are (0,0) then the point is
A) origin
B) X – axis
C) ordinate
D) abscissa
Answer:
A) origin

Question 127.
Indentify the point in Q₁
AP 10th Class Maths Bits Chapter 7 Coordinate Geometry with Answers 10
Answer:

Question 128.
A line parallel to x = 3 is ………………….
AP 10th Class Maths Bits Chapter 7 Coordinate Geometry with Answers 12
Answer:

Question 129.
Which of the following line passing through (0,0) ?
AP 10th Class Maths Bits Chapter 7 Coordinate Geometry with Answers 14
Answer:

Question 130.
The location of points (1, 1)(2, 2)(3, 3)in a graph sheet may represents as ………………..
AP 10th Class Maths Bits Chapter 7 Coordinate Geometry with Answers 16
Answer:

Question 131.
Q₁ ∩ Q₂
A) {1,2}
B) Φ
C) {0,1}
D) {1,2,3}
Answer:
B) Φ