Practice the AP 8th Class Maths Bits with Answers Chapter 6 Square Roots and Cube Roots on a regular basis so that you can attempt exams with utmost confidence.

## AP State Syllabus 8th Class Maths Bits 6th Lesson Square Roots and Cube Roots with Answers

Question 1.
If a, b, c are Pythagorean triplets then which of the following is true ?
A) a2 – b2 = c
B) a2 + b2 = c2
C) b = c2 – a2
D) a2 > b2 + c2
B) a2 + b2 = c2

Question 2
Which of the following is pythagorean triplet ?
A) (1, 2, 3)
B)(4, 5, 6)
C) (3, 4, 5)
D) (5, 6, 7)
C) (3, 4, 5)

Question 3.
Which of the following number is doesn’t lie in the units place of a square number ?
A) 1
B) 4
C) 3
D) 5
C) 3

Question 4.
Which of the following is not a perfect square number ?
A) 121
B) 1331
C) 1024
D) 367
D) 367

Question 5.
$$\sqrt{625}+\sqrt{441}$$ =
A) 47
B) $$\sqrt{1066}$$
C) 46
D) 45
C) 46

Question 6.
The units digit of (123456)2
A) 6
B) 3
C) 8
D) 4
A) 6

Question 7.
1112 = …………………..
A) 12341
B) 12321
C) 12312
D) 12221
B) 12321

Question 8.
1 + 3 + 5 + 7 + 9 =
A) 92
B) 72
C) 52
D) 42
C) 52

Question 9.
$$\sqrt{10201}$$ =
A) 1001
B) 101
C) 111
D) 121
B) 101

Question 10.
No. of integers lie between 42 and 52
A) 8
B) 10
C ) 9
D) 11
A) 8

Question 11.
(121)2 is a ……………… number.
A) prime
B) odd
C) even
D) none
B) odd

Question 12.
Which of the following is a perfect cube number ?
A) 25
B) 64
C) 81
D) 100
B) 64

Question 13.
No. of non – perfect square numbers between n2 and (n + A)2 are …………………
A) $$\frac{\mathrm{n}}{2}$$
B) 2n
C) n2
D) n
B) 2n

Question 14.
If there are no common factors other than’ 1′ among a, b, c then the triplet is called a ………………….
A) Primitive
B) Secondary
C) Triplet
D) None
A) Primitive

Question 15.
132 = ………………. + 122
A) 10
B) 2
C) 52
D) 10
C) 52

Question 16.
$$\sqrt{225}$$ = ……………….
A) 12
B) 16
C) 15
D) 13
C) 15

Question 17.
$$\sqrt{2025}$$ = ………………….
A) 35
B) 45
C) 54
D) 15
B) 45

Question 18.
The least integer should be multiplied to 6000 to become a perfect square number is ……………………
A) 19
B) 16
C) 10
D) 15
D) 15

Question 19.
The least number should be multiplied to 720 to become a perfect square number is ………………….
A) 13
B) 9
C) 5
D) 10
C) 5

Question 20.
…………….. should be subtracted from 4215 to become a perfect square number.
A) 119
B) 120
C) 110
D) 1
A) 119

Question 21.
$$\sqrt{42.25}$$ =
A) 7
B) 6.5
C) 8.5
D) 5.5
B) 6.5

Question 22.
The nearest value of $$\sqrt{\mathbf{3 0 0}}$$ = ………………
A) 19
B) 31
C) 17
D) 16
C) 17

Question 23.
The side of a square is 19 units then its area is ………………… sq. units.
A) 312
B) 191
C) 163
D) 361
D) 361

Question 24.
The area of a square is 1024 sq.units, then its side is ……………… units.
A) 32
B) 22
C) 62
D) 92
A) 32

Question 25.
The cube of 11 is …………………..
A) 1131
B) 1331
C) 1231
D) 1431
B) 1331

Question 26.
The perfect square and cube number of a two digited number is ………………
A) 32
B) 91
C) 16
D) 64
D) 64

Question 27.
7 + 9 + 11 = ………………..
A) 3 3
B) 34
C) 35
D) 310
A) 3 3

Question 28.
$$\sqrt[3]{4913}$$ = ………………….
A) 27
B) 13
C) 18
D) 17
D) 17

Question 29.
The units digit of (1997)3
A) 10
B) 3
C) 9
D) 4
B) 3

Question 30.
The least number should be multi¬plied to 2560 to get a perfect cube number is ………………..
A) 15
B) 40
C) 25
D) 35
C) 25

Question 31.
$$\sqrt[3]{9261}$$ = ………………
A) 13
B) 21
C) 16
D) 31
B) 21

Question 32.
$$\sqrt[3]{x}$$ = 12 ⇒ x = ……………….
A) 1728
B) 1928
C) 1314
D) 1628
A) 1728

Question 33.
The value of $$\sqrt{97}$$ is nearer to ……………….
A) 14
B) 13
C) 11
D) 10
D) 10

Question 34.
63 = …………………
A) 161
B) 216
C) 116
D) 117
B) 216

Question 35.
The side of a square is 72 cm then its perimeter is ……………. cm.
A) 298
B) 148
C) 288
D) 188
C) 288

Question 36.
How many integers are in between the squares of 25, 26 …………………..?
A) 50
B) 60
C) 70
D) 100
A) 50

Question 37.
The units digit in the square of 431 is …………………
A) 3
B) 7
C) 0
D) 1
D) 1

Question 38.
(24)2 = ………………
A) 512
B) 156
C) 258
D) 256
D) 256

Question 39.
35 = …………….
A) 243
B) 81
C) 813
D) 432
A) 243

Question 40.
If we multiply 8788 by ……………… then we get a perfect cube.
A) 7
B) 4
C) 2
D ) 3
C) 2

Question 41.
$$\sqrt[3]{2744}$$ = ………………
A) 14
B) 24
C) 34
D) 16
A) 14

Question 42.
$$\sqrt{175.2976}$$ = ………………
A) 36.15
B) 81.14
C) 11.24
D) 13.24
D) 13.24

Question 43.
(√a) = ………………
A) √a
B) 2a
C) $$\frac {a}{2}$$
D) a
D) a

Question 44.
$$\sqrt{1471369}$$ = ………………….
A) 1213
B) 1321
C) 1132
D) 1141
A) 1213

Question 45.
The square root of 6084 = ……………….
A) 87
B) 78
C) 88
D) 68
B) 78

Question 46.
√2 = ………………
A) 1.414
B) 1.5
C) 1.814
D) 1.3
A) 1.414

Question 47.
$$\sqrt{169}+\sqrt{25}$$ = ……………….
A) 18
B) 19
C) 13
D) 12
A) 18

Question 48.
$$\sqrt{176+\sqrt{2401}}$$ = …………………..
A) 25
B) 15
C) 31
D) 35
B) 15

Question 49.
In the expansion of 311 the units digit is ……………..
A) 3
B) 7
C) 10
D) 16
B) 7

Question 50.
Car number of Jaya is 8289 then the square root of that number is ………………
A) 32
B) 70
C) 83
D) None
D) None

Question 51.
$$\sqrt{9025}$$ = ……………….
A) 95
B) 59
C) 69
D) 73
A) 95

Question 52.
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 = ………………
A) 132
B) 168
C) 139
D) 169
D) 169

Question 53.
How many cube numbers are there between 1 to 100 ?
A) 9
B) 10
C) 3
D) 13
C) 3

Question 54.
How many digits are there in the square of 72?
A) 4 or 3
B) 3 or 6
C) 2 or 7
D) None
A) 4 or 3

Question 55.
$$\sqrt{121}$$ = …………..
A) 11
B) 16
C) 31
D) 12
A) 11

Question 56.
32 + 42 + K2, K = ……………..
A) 10
B) 13
C) 5
D) 25
C) 5

Question 57.
How many integers are there between 92 and 102 ?
A) 16
B) 13
C) 28
D) 18
D) 18

Question 58.
$$\sqrt{55}$$ is ……………..
A) not, a square number
B) square number
C) cube number
D) value is 10
A) not, a square number

Question 59.
$$\sqrt[3]{64}$$ = ……………..
A) 9
B) 16
C) 10
D) 4
D) 4

Question 60.
Sum of n odd number is ……………….
A) n2
B) 2n
C) n
D) n-1
A) n2

Question 61.
Identify Pythagorean Triplet.
A) 1, 2, 7
B) 8, 9, 6
C) 3, 4, 6
D) 6, 8, 10
D) 6, 8, 10

Question 62.
82 + K2 – 172 then K = …………….
A) 15
B) 16
C) 19
D) 20
A) 15

Question 63.
$$\sqrt{4^{4} \times 5^{4}}$$ = ………………
A) 4
B) 4 × 5
C) 42 × 52
D) 4 × 5
C) 42 × 52

Question 64.
$$\sqrt{\frac{25}{64}}$$ = ……………..
A) $$\frac{5}{9}$$
B) $$\frac{5}{8}$$
C) $$\frac{15}{31}$$
D) $$\frac{5}{4}$$
B) $$\frac{5}{8}$$

Question 65.
√1 = ……………
A) 0
B) 1
C) 6
D) 4
B) 1

Question 66.
$$\sqrt{\mathbf{3 3 8 8}}$$ = ……………
A) $$\sqrt[30]{7}$$
B) $$\sqrt[10]{7}$$
C) $$\sqrt[12]{7}$$
D) $$\sqrt[22]{7}$$
D) $$\sqrt[22]{7}$$

Question 67.
$$\sqrt[3]{500} \times \sqrt[3]{686}$$ = ……………….
A) 16
B) 30
C) 70
D) 80
C) 70

Question 68.
$$\sqrt{0.4489}$$ = ………………
A) 0.67
B) 6.7
C) 8.5
D) 7.7
A) 0.67

Question 69.
$$\sqrt{12 \frac{169}{676}}$$ = ……………….
A) 2$$\frac{4}{5}$$
B) 9$$\frac{3}{7}$$
C) 3$$\frac{1}{26}$$
D) 3$$\frac{13}{26}$$
D) 3$$\frac{13}{26}$$

Question 70.
153 = ………………….
A) 3375
B) 7375
C) 1375
D) 1525
A) 3375

Question 71.
$$\sqrt{142884}$$ =
A) 144
B) 278
C) 178
D) 378
D) 378

Question 72.
$$\sqrt{1156}$$ = x then x = ……………..
A) 44
B) 34
C) 84
D) 94
B) 34

Question 73.
1, 4, 9, 16, 25 are ………………… numbers.
A) Square
B) Cube
C) Pure
D) None
A) Square

Question 74.
212 = ……………….
A) 144
B) 441
C) 141
D) 191
B) 441

Question 75.
(0.2)2 = …………..
A) 0.4
B) 0.004
C) 0.45
D) 0.04
D) 0.04

Question 76.
(-2)3 = ……………..
A) 8
B) $$\frac{1}{8}$$
C) $$\frac{1}{3^{2}}$$
D) -8
D) -8

Question 77.
$$\sqrt[3]{\mathbf{p}}$$ = 7, p = …………….
A) 416
B) 189
C) 343
D) 143
C) 343

Question 78.
If √2 = 1.414 then the value of $$\sqrt{\frac{200}{49}}$$ = ………….
A) 2.02
B) 20.2
C) 30.2
D) 21.2
A) 2.02

Question 79.
If n3 = 2744 then the value of n2 – 11 is ………….
A) 145
B) 175
C) 165
D) 185
D) 185

Question 80.
$$\sqrt[3]{1512} \times \sqrt[3]{49000}$$ = …………….
A) 160
B) 420
C) 129
D) 120
B) 420

Question 81.
$$\sqrt{\frac{0.01}{0.81}}$$ = …………….
A) $$\frac{1}{5}$$
B) $$\frac{1}{2}$$
C) $$\frac{1}{9}$$
D) 9
C) $$\frac{1}{9}$$

Question 82.
$$\sqrt{2 \frac{14}{25}}$$ = …………….
A) $$\frac{8}{7}$$
B) $$\frac{8}{5}$$
C) $$\frac{5}{8}$$
D) $$\frac{1}{3}$$
B) $$\frac{8}{5}$$

Question 83.
$$\sqrt[3]{217}$$ = …………………
A) 7
B) 8
C) 9
D) None
D) None

Question 84.
In 1, 8, □ 64, □ = …………….
A) 27
B) 25
C) 26
D) 10
A) 27

Question 85.
Which of the following number is called Ramanujans number ?
A) 1729
B) 1728
C) 1818
D) 1719
A) 1729

Question 86.
 = ………………
A) 0.0112
B) 0.11
C)0.112
D) 0.114
B) 0.11

Question 87.
13 + 23 =
A) 10
B) 33
C) 32
D) 92
C) 32

Question 88.
 = ………………
A) 0.5
B) 0.2
C) 0.7
D) 0.45
B) 0.2

Question 89.
Identify perfect cube among the following:
A) 512
B) 14
C) 100
D) 96
A) 512

Question 90.
$$\sqrt[3]{\frac{1}{27}}$$ = ………………
A) $$\frac{1}{8}$$
B) $$\frac{1}{4}$$
C) $$\frac{1}{6}$$
D) $$\frac{1}{3}$$
D) $$\frac{1}{3}$$

Question 91.
a + b + c = 0 then a3 + b3 + c3 = ………………
A) $$\frac{a b c}{3}$$
B) 3 abc
C) ab+c
D) $$\frac{\mathrm{ab}}{\mathrm{c}}$$
B) 3 abc

Question 92.
123+ 13 = ……………….
A) 1718
B) 1719
C) 1729
D) 1829
C) 1729

Question 93.
13 + 23 + 33 = ………………
A) 52
B) 62
C) 82
D) 92
B) 62

Question 94.
Cube root of 2545 is ………………..
A) 10
B) 20
C) 25
D) None
D) None

Question 95.
Kishore told “Every number is asquare number”. Krishna told “Every number is a pure number”.
In the above two statements who is correct ?
A) Kishore
B) Krishna
C) Both are correct
D) Both are false
D) Both are false

Question 96.
Identify polyndrome number in the following numbers.
A) 15651
B) 16566
C) 15655
D) 165167
A) 15651

Question 97.
If y = x3 then ……………….
A) x = $$\sqrt[3]{y}$$
E) x = √y
C) √x = y2
D) None
A) x = $$\sqrt[3]{y}$$

Question 98.
$$\sqrt[3]{9261}$$ = ………………..
A) 11
B) 41
C) 21
D) 14
C) 21

Question 99.
17 < √x < 18, x = ……………….
A) 100
B) 900
C) 300
D) 20