Srinivas – Page 82 – AP Board Solutions

AP 7th Class Maths Bits Chapter 6 Ratio – Applications with Answers

September 24, 2021

Practice the AP 7th Class Maths Bits with Answers Chapter 6 Ratio – Applications on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 7th Class Maths Bits 6th Lesson Ratio – Applications with Answers

Choose the correct answer.

Question 1.
In a class of 65 students, the ratio of girls and boys is 3: 2; then the number of girls are
A) 26
B) 39
C) 21
D) 44
Answer:
B) 39

Question 2.
Radha goes to market with a sum of ₹ 120 and spends there ₹ 45. Now the ratio of money with her and spent by her is
A) 3 : 5
B) 6 : 3
C) 5 : 3
D) 4 : 6
Answer:
C) 5 : 3

Question 3.
A sum is divided into two parts in the ratio 11 : 4. If the smaller part is ₹ 840 then the bigger part is
A) ₹ 2310
B) ₹ 3150
C) ₹ 2450
D) ₹ 5280
Answer:
A) ₹ 2310

Question 4.
If 3,8, x and 16 are in proportion the value of x is
A) 12
B) 4
C) 8
D) 6
Answer:
D) 6

Question 5.
The ratio of an angle and its complementary is 2: 7 then the smaller angle is
A) 70°
B) 20°
C) 60°
D)30°
Answer:
B) 20°

Question 6.
The side of an square is 5 units. If its side is doubled the ratio of areas of the original square and thus formed is
A) 1 : 4
B) 4 : 1
C) 2 : 1
D) 1 : 2
Answer:
A) 1 : 4

Question 7.
Divide ₹63 in the ratio of 4 : 5 = ……………..?
A) (28, 35)
B) (36, 37)
C) (36, 27)
D) (35, 28)
Answer:
A) (28, 35)

Question 8.
A sum of ₹11000 is divided in the ratio of 5 : 6 then the greater share is? (in₹)
A) 5000
B) 6000
C) 1000
D) 7000
Answer:
B) 6000

Question 9.
In a class of 40 students number of girls are 28 then the ratio of boys and girls is …………….
A) 4 : 7
B) 7 : 3
C) 3 : 7
D) 7 : 4
Answer:
C) 3 : 7

Question 10.
From the above sum the ratio of boys to the total class is ……………
A) 3 : 10
B) 10 : 3
C) 4 : 10
D) 4 : 9
Answer:
A) 3 : 10

Question 11.
The area of a rectangle is 600. If its length is 30, then the ratio of l: b is …………….
A) 3 : 4
B) 3 : 2
C) 3 : 5
D) 4 : 3
Answer:
B) 3 : 2

Question 12.
If 3 : 6 :: 12 : x ⇒ x = …………..?
A) 9
B) 18
C) 24
D) 15
Answer:
C) 24

Question 13.
If 4 : 3 :: x : 9 ⇒ x = ……………….
A) 16
B) 15
C) 12
D) 6
Answer:
C) 12

Question 14.
If the cost of 5 pens is 70, then the cost of 7 pens is ………………..
A) ₹84
B) ₹90
C) ₹112
D) ₹98
Answer:
D) ₹98

Question 15.
If 90 : x : : 60 : 10 ⇒ x = ?
A) 15
B) 20
C) 30
D) 45
Answer:
A) 15

Question 16.
The ratio of two complementary angles is 4 : 5 then its smaller angles?
A) 36°
B) 44°
C) 50°
D) 40°
Answer:
D) 40°

Question 17.
Out of 96 students 12 students were absent in a class. Then the ratio of present to absentees is …………….
A) 1 : 7
B) 7 : 1
C) 8 : 1
D) 9 : 1
Answer:
B) 7 : 1

Question 18.
From the above sum the percentage of students are present
A) 86.5%
B) 84.5%
C) 87.5%
D) 85.5%
Answer:
C) 87.5%

Question 19.
A bus covers a distance of 240 kms in 6hrs then its covers the distance in 11 hrs is ……………. (kms)
A) 440
B) 400
C) 360
D) 320
Answer:
A) 440

Question 20.
40% of 200 – 20% of 50 = ………………
A) 70
B) 90
C) 80
D) 60
Answer:
A) 70

Question 21.
70% of a number is 56, then the number is …………….?
A) 85
B) 90
C) 70
D) 80
Answer:
D) 80

Question 22.
If T = 4 years, P = ₹6500, A = ₹8840, then Rate of interest (R) = …………..%
A) 9%
B) 9.5%
C) 8%
D) 9.1%
Answer:
A) 9%

Question 23.
If P = ₹ 3000, R = 9% T = 2[latex]\frac {1}{2}[/latex] y, then I = ………………?
A) ₹575
B) ₹685
C) ₹655
D) ₹675
Answer:
D) ₹675

Question 24.
If A = ₹ 15624, P = ₹12,600, R = 9% T = ……………?
A) 2[latex]\frac{1}{3}[/latex]Y
B) 2[latex]\frac{2}{3}[/latex]Y
C) 3[latex]\frac{1}{2}[/latex]Y
D) 3[latex]\frac{2}{3}[/latex]Y
Answer:
B) 2[latex]\frac{2}{3}[/latex]Y

Question 25.
At what rate a sum triples itself in 8 years 4 months?
A) 30%
B) 18%
C) 12%
D) 24%
Answer:
D) 24%

Question 26.
The population of a village is 10,000 in the year 2012. The population increases 5% on every year then its population on 2015?
A) 11500
B) 11576
C)11570
D)11575
Answer:
A) 11500

Question 27.
Which of the following is in proportion?
A) 1 : 2 = 3 : 4
B) 4 : 11 = 7 : 8
C) 5 : 9 = 18 : 10
D) 32 : 64 = 6 : 12
Answer:
D) 32 : 64 = 6 : 12

Question 28.
Which of the following is not in proportion?
A) 4 : 11 = 2 : 5
B) 25 : 1 = 40 : 1.6
C) 90 : 30 :: 36 : 12
D) 22 : 11 : : 12 : 6
Answer:
A) 4 : 11 = 2 : 5

Question 29.
A road map represents 1 cm = 18 km then 72 km = …………….cm.
A) 14 cm
B) 4 cm
C) 8 cm
D) 2 cm
Answer:
B) 4 cm

Question 30.
The percentage of shaded portion is
AP 7th Class Maths Bits Chapter 6 Ratio – Applications with Answers 1
A) 40%
B) 16%
O 30%
D) 25%
Answer:
D) 25%

Question 31.
From the above sum the percentage of unshaded portion is?
A) 75%
B) 70%
C) 80%
D) 85%
Answer:
A) 75%

Question 32.
Formula for simple interest is I = ………………?
A) [latex]\frac{\text { PTR }}{100}[/latex]
B) [latex]\frac{\text { TR }}{\mathrm{P} \times 100}[/latex]
C) [latex]\frac{\mathrm{PR}}{100 \times \mathrm{T}}[/latex]
D) [latex]\frac{\mathrm{PT}}{100 \times \mathrm{R}}[/latex]
Answer:
A) [latex]\frac{\text { PTR }}{100}[/latex]

Question 33.
Compound interest (C.I) = ……………….?
A) A – P
B) A + P
C) P + I
D) P – I
Answer:
A) A – P

Question 34.
Amount = ………………..?
A) P + I
B) P -1
C) P × I
D) None
Answer:
A) P + I

Question 35.
S.P – C.P = ……………….?
A) loss
B) profit
C) M.P
D) None
Answer:
B) profit

Question 36.
Loss = ……………….?
A) S.P – C.P
B) S.P + C.P
C) C.P – S.P
D) None
Answer:
C) C.P – S.P

Question 37.
Gain % = ……………..?
A) [latex]\frac{\text { Profit }}{\text { S.P }}[/latex] × 100
B) [latex]\frac{\text { Profit } \times \mathrm{C.P}}{100}[/latex]
C) [latex]\frac{\text { Profit }}{\text { C.P }}[/latex] × 100
D) [latex]\frac{\text { C.P }}{\text { Profit }}[/latex] × 100
Answer:
C) [latex]\frac{\text { Profit }}{\text { C.P }}[/latex] × 100

Question 38.
Percentage increase in price = ……………?
AP 7th Class Maths Bits Chapter 6 Ratio – Applications with Answers 2
Answer:

Question 39.
Discount is calculated on ……………
A) C.P
B) Loss
C) S.P
D) Marked price
Answer:
D) Marked price

Question 40.
a : b and c : d are in proportion then
A) ad = bc
B) ac = bd
C) ab = cd
D) none
Answer:
A) ad = bc

Question 41.
A car takes 3[latex]\frac {1}{2}[/latex] hours to cover a distance 2of 227.5 km then how much time does it take to cover 487.5 km ?
A) 5[latex]\frac {1}{2}[/latex] hrs
B) 6[latex]\frac {1}{2}[/latex] hrs
C) 7[latex]\frac {1}{2}[/latex] hrs
D) 8[latex]\frac {1}{2}[/latex] hrs
Answer:
C) 7[latex]\frac {1}{2}[/latex] hrs

Question 42.
28% of a number is 168. Then 82% of it is
A) 438
B) 492
C) 600
D) 392
Answer:
B) 492

Question 43.
‘A’ sells a watch to ‘B’ at a gain of 10%. If B pays ₹ 330 for it; what is the cost price for
A?
A) ₹ 320
B) ₹ 340
C) ₹ 300
D) ₹ 310
Answer:
C) ₹ 300

Question 44.
Last year the price of a commodity was ₹ 80; this year the price goes up by ₹? 20. Find percentage increase.
A) 20%
B) 25%
C) 100%
D) 80%
Answer:
B) 25%

Question 45.
Out of 9000 voters of in a Krosur village 75% voted . Number of voters didn’t vote ?
A) 6750
B) 2500
C) 2250
D) 6250
Answer:
C) 2250

Question 46.
Sachin played 120 matches in his carrier. If he succeed 85% of matches, then number of matches he succeeded?
A) 112
B) 104
C) 98
D) 102
Answer:
D) 102

Question 47.
If C.P of 11 books is equal to S.P of 15 books then ………………?
A) 33[latex]\frac {1}{3}[/latex]% – Loss
B) 33[latex]\frac {1}{3}[/latex] % – Profit
C) 30% – Loss
D) 25% – Loss
Answer:
B) 33[latex]\frac {1}{3}[/latex] % – Profit

Question 48.
An article is brought for ₹240 and sold it for ₹300 then the gain% is?
A) 30%
B) 25%
C) 24%
D) 35%
Answer:
A) 30%

Question 49.
Anji sold a land for ₹3,00,000 and gain 20% then how much did he purchase it?
A) 2,75,000
B) 2,25,000
C) 2,00,000
D) 2,50,000
Answer:
D) 2,50,000

Question 50.
The marked price of a cell phone is ₹5000 the shopkeeper allows a discount of 25% on it. Then its S.P = ………………?
A) ₹2750
B) ₹1250
C) ₹3750
D) ₹3250
Answer:
C) ₹3750

Question 51.
A dealer allows a discount of 10% and still gains by 10%. What should be the marked price if the cost price is ₹900?
A) ₹1100
B) ₹?1000
C) ₹1200
D) ₹800
Answer:
A) ₹1100

AP 7th Class Maths Bits Chapter 5 Triangle and Its Properties with Answers

September 23, 2021

Practice the AP 7th Class Maths Bits with Answers Chapter 5 Triangle and Its Properties on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 7th Class Maths Bits 5th Lesson Triangle and Its Properties with Answers

Choose the correct answer.

Question 1.
In the figure x° =
AP 7th Class Maths Bits Chapter 5 Triangle and Its Properties with Answers 1
A) 45°
B) 55°
C) 100°
D) 80°
Answer:
C) 100°

Question 2.
In the figure x°, y° are
AP 7th Class Maths Bits Chapter 5 Triangle and Its Properties with Answers 2
A) 60°, 120°
B) 40°, 60°
C) 80°, 60°
D) 180°, 60°
Answer:
B) 40°, 60°

Question 3.
In the figure y° = ……………..
AP 7th Class Maths Bits Chapter 5 Triangle and Its Properties with Answers 3
A) 45°
B) 55°
C) 90°
D) 35°
Answer:
C) 90°

Question 4.
If one acute angle of a right-angled triangle is 20°, the other angle is ……………..
A) 70°
B) 20°
C) 60°
D)80°
Answer:
A) 70°

Question 5.
In an isosceles triangle, the non-equal angle (verticele angle) is 40° then equal angles are
A) 60°, 60°
B) 80°, 80°
C) 140°, 140°
D) 70°, 70°
Answer:
D) 70°, 70°

Question 6.
From the given figure ⌊x = ………….?
AP 7th Class Maths Bits Chapter 5 Triangle and Its Properties with Answers 4
A) 60°
B) 90°
C) 70°
D) 80°
Answer:
D) 80°

Question 7.
From the given figure ⌊y = …………..?
AP 7th Class Maths Bits Chapter 5 Triangle and Its Properties with Answers 5
A) 130°
B) 60°
C) 20°
D) 120°
Answer:
D) 120°

Question 8.
From the given figure ⌊x – ⌊y = ?
AP 7th Class Maths Bits Chapter 5 Triangle and Its Properties with Answers 6
A) 70°
B) 20°
C) 40°
D) 50°
Answer:
C) 40°

Question 9.
The exterior angle of an equilateral triangle is ……………..?
A) 60°
B) 90°
C) 120°
D) 30°
Answer:
C) 120°

Question 10.
If the measure of two angles of a triangle are 35°, 84°, then the third angle is ……………..?
A) 51°
B) 61°
C) 69°
D) 59°
Answer:
B) 61°

Question 11.
Three angles of a triangle are (x + 30°), 2x, (3x – 30°) then ⌊x = ……………..?
A) 30°
B) 60°
C) 20°
D) 15°
Answer:
A) 30°

Question 12.
In a right angled triangle one is 43° then the third angle is ……………….
A) 47°
B) 45°
C) 57°
D) 37°
Answer:
A) 47°

Question 13.
From the given figure ⌊y = …………….?
AP 7th Class Maths Bits Chapter 5 Triangle and Its Properties with Answers 7
A) 40°
B) 50°
C) 60°
D) 75°
Answer:
B) 50°

Question 14.
In Δ ABC AB = AC then ⌊B = ……………..?
AP 7th Class Maths Bits Chapter 5 Triangle and Its Properties with Answers 8
A) 58°
B) 68°
C) 48°
D) 116°
Answer:
A) 58°

Question 15.
The exterior angle of atriangle is 136° and its two opposite interior angles is 8 : 9 then the smallest angle of these two angles is …………….?
A) 54°
B) 72°
C) 64°
D) 66°
Answer:
C) 64°

Question 16.
Which of the following is an Isosceles triangle?
AP 7th Class Maths Bits Chapter 5 Triangle and Its Properties with Answers 9
Answer:

Question 17.
Which of the following is an Right angled Isosceles triangle?
AP 7th Class Maths Bits Chapter 5 Triangle and Its Properties with Answers 11
Answer:

Question 18.
Which of the following is not true?
A) A triangle has 3 sides, 3 angles and 3 vertices
B) The angle which is opposite to xy is ⌊Z in ΔXYZ
C) The side which is opposite to ⌊Q is [latex]\overline{\mathrm{QR}}[/latex]
D) The vertex which is opposite to YZ is X.
Answer:
C) The side which is opposite to ⌊Q is [latex]\overline{\mathrm{QR}}[/latex]

Question 19.
Which of the following measurements form a triangle?
A) 4 cm, 4 cm, 8 cm
B) 5 cm, 6 cm, 11 cm
C) 7 cm, 18 cm, 4 cm
D) 7 cm, 8 cm, 9 cm
Answer:
D) 7 cm, 8 cm, 9 cm

Question 20.
About a triangle which of the following is true?
A) be formed with collinear points
B) have more than one right angle
C) have two obtuse angles
D) have at least two acute angles
Answer:
D) have at least two acute angles

Question 21.
A triangle can have …………….. right angles.
A) 1
B) 2
C) 3
D) 0
Answer:
A) 1

Question 22.
A triangle can have …………….. obtuse angles.
A) 0
B) 1
C) 2
D) 3
Answer:
B) 1

Question 23.
The line joining a vertex and the mid point of its opposite side is called
A) side
B) altitude
C) height
D) median
Answer:
D) median

Question 24.
The perpendicular line segment joining a vertex and its opposite side is called
A) altitude
B) median
C) bisector
D) none
Answer:
A) altitude

Question 25.
In the figure ΔABC is a
AP 7th Class Maths Bits Chapter 5 Triangle and Its Properties with Answers 13
A) equilateral
B) isosceles
C) scalene
D) right isosceles B
Answer:
B) isosceles

Question 26.
A triangle in which all the sides / angles are equal is called ……………. triangle.
A) an equilateral
B) an isosceles
C) right angled
D) scalene
Answer:
A) an equilateral

Question 27.
A triangle in which one angle is 90°, other two sides are equal is called …………… triangle.
A) Right angled
B) Right angled Isosceles
C) Isosceles
D) Equilateral
Answer:
B) Right angled Isosceles

Question 28.
A triangle in which each angle is less than 90° is called …………. triangle.
A) right angled
B) an obtuse angled
C) an acute angled
D) None
Answer:
C) an acute angled

Question 29.
A triangle in which one angle is greater than 90° is called ……………… angled triangle.
A) an Acute
B) right
C) an Obtuse
D) None
Answer:
C) an Obtuse

Question 30.
The point of concurrence of Medians of a triangle is called ……………
A) Circumcentre
B) Centroid
C) Orthocentre
D) Incentre
Answer:
B) Centroid

Question 31.
The altitude of an obtuse angled triangle lies …………….. of the triangle.
A) inside
B) outside
C) on the triangle
D) none
Answer:
B) outside

Question 32.
The sum of any two sides of a triangle must be ……………… the third side.
A) greater than
B) equal to
C) less than
D) none
Answer:
A) greater than

Question 33.
The exterior angle of a triangle must be ……………. of its two opposite interior angles.
A) greater than
B) less than
C) equal
D) none
Answer:
C) equal

AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers

September 23, 2021

Practice the AP 7th Class Maths Bits with Answers Chapter 4 Lines and Angles on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 7th Class Maths Bits 4th Lesson Lines and Angles with Answers

Choose the correct answer.

Question 1.
If p//q and ∠1 – 55° then ∠2 =
A) 55°
B) 35°
C) 145°
D) 110°
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 1
Answer:
A) 55°

Question 2.
The complementary angle for 72° is
A) 108°
B) 18°
C) 28°
D) 118°
Answer:
B) 18°

Question 3.
The supplementary angle for 65° is
A) 35°
B) 45°
C) 25°
D) 115°
Answer:
D) 115°

Question 4.
In the figure the value of x is
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 2
A) 60°
B) 120°
C) 90°
D) 180°
Answer:
A) 60°

Question 5.
In the figure l//m then the value of x is
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 3
A) 50°
B) 40°
C) 130°
D) 160°
Answer:
C) 130°

Question 6.
In the figure p//q then ∠a =
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 4
A) 65°
B) 25°
C) 115°
D) 35°
Answer:
C) 115°

Question 7.
The complementary angle of 45° is …………..
A) 90°
B) 45°
C) 135°
D) 55°
Answer:
B) 45°

Question 8.
The complementary angle of 89° is ……………
A) 1°
B) 90°
C) 91°
D) 9°
Answer:
A) 1°

Question 9.
If two angles are complement to each other and are equal, then the angles are?
A) (60°, 60°)
B) (89°, 89°)
C) (45°, 45°)
D) (90°, 90°)
Answer:
C) (45°, 45°)

Question 10.
The supplementary angle of 135° is …………….?
A) 35°
B) 65°
C) 55°
D) 45°
Answer:
D) 45°

Question 11.
If two angles are equal and supplement to each other, then they are ……………
A)(120°, 120°)
B) (60°, 120°)
C) (45°, 135°)
D) (90°, 90°)
Answer:
D) (90°, 90°)

Question 12.
The supplement of 30° is …………….
A) 140°
B) 160°
C) 150°
D) 60°
Answer:
C) 150°

Question 13.
Number of transversal lines can be drawn to two distinct lines are ……………?
A) 1
B) 2
C) infinite
D) None
Answer:
C) infinite

Question 14.
A transversal line intersects two distinct lines in …………… distinct points.
A) 0
B) 1
C) 2
D) infinite
Answer:
C) 2

Question 15.
From the adjacent figure ⌊x° = …………..?
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 5
A) 10°
B) 11°
C) 55°
D) 5°
Answer:
B) 11°

Question 16.
From the adjacent figure ⌊y – [⌊x + ⌊z] = …………….
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 6
A) 120°
B) 140°
C) 20°
D) 180°
Answer:
A) 120°

Question 17.
From the adjacent figure ⌊x = ………………
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 7
A) 61°
B) 51°
C) 41°
D) 50°
Answer:
B) 51°

Question 18.
From the adjacent figure ⌊p = …………….
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 8
A) 100°
B) 70°
C) 80°
D) 60°
Answer:
C) 80°

Question 19.
From the given figure l || BC, ⌊x + ⌊z = ……………….?
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 9
A) 35°
B) 85°
C) 60°
D) 120°
Answer:
D) 120°

Question 20.
From the given figure ⌊Q = ?
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 10
A) 120°
B) 60°
C) 70°
D) 30°
Answer:
B) 60°

Question 21.
In the given figure one pair of adjacent angle is
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 11
A) ∠AOB, ∠COD
B) ∠AOB, ∠AOC
C) ∠FOE, ∠FOD
D) ∠EOD, ∠DOC
Answer:
D) ∠EOD, ∠DOC

Question 22.
Which of the following pairs of angles are not complementary?
A) (45°, 55°)
B) (35°, 55°)
C) (23°, 67°)
D) (49°, 41°)
Answer:
A) (45°, 55°)

Question 23.
Which of the following pairs of angles are supplementary angles?
A) (90°, 89°)
B) (105°, 85°)
C) (125°, 55°)
D) (64°, 136°)
Answer:
C) (125°, 55°)

Question 24.
Which of the following is not correct?
A) Each angle in any pair of complementary angles is always acute.
B) Two acute angles can’t form a supplementary angle.
C) Two right angles form a supplementary angle.
D) If the sum of two angles is supplementary then each of them is an obtuse angle.
Answer:
D) If the sum of two angles is supplementary then each of them is an obtuse angle.

Question 25.
From the given figure. A pair of adjacent angles is?
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 12
A) ⌊a, ⌊c
B) ⌊d, ⌊f
C) ⌊b, ⌊e
D) ⌊f, ⌊a
Answer:
D) ⌊f,⌊a

Question 26.
Which of the following is an acute angle?
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 13
Answer:

Question 27.
Which of the following is not true?
A) Any pair of supplementary angles are adjacent.
B) Any pair of adjacent angles form a supplementary angle.
C) Any pair of complementary angles are adjacent.
D) Any pair of adjacent angles doesn’t form a complementary angle.
Answer:
B) Any pair of adjacent angles form a supplementary angle.

Question 28.
If two angles are supplementary then they are
A) both acute
B) both obtuse
C) one acute and one obtuse
D) can’t be determined
Answer:
D) can’t be determined

Question 29.
In the figure ∠2 = ∠5 then the lines are
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 15
A) parallel
B) Intersecting
C) perpendicular
D) can’t be determined
Answer:
B) Intersecting

Question 30.
From the given angles are?
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 16
A) ⌊ZOY & ⌊ROX
B) ⌊ZOP & ⌊ROQ
C) ⌊POY & ⌊QOY
D) ⌊ROX & ⌊XOY
Answer:
C) ⌊POY & ⌊QOY

Question 31.
Which of the following is not a vertically opposite angle?
A) Angles between legs of a folding cot
B) Angles between scissors
C) Angles between door and wall
D) Angles between legs of folding a chair
Answer:
C) Angles between door and wall

Question 32.
The angles which have common arm are called ……………… angles.
A) interior
B) exterior
C) vertically opposite angles
D) adjacent
Answer:
D) adjacent

Question 33.
The sum of two angles is 90°. Then they are called …………… angles.
A) Reflex
B) Straight
C) Complementary
D) Supplementary
Answer:
C) Complementary

Question 34.
The sum of two angles is 180°. Then they are called …………… angles.
A) Supplementary
B) Complementary
C) Reflex
D) Complete
Answer:
A) Supplementary

Question 35.
If two or more lines meet in a single point then the lines are called concurrent lines. The point where they intersect is called
A) Intersecting point
B) Point of contact
C) Orthocentre
D) Centroid
Answer:
B) Point of contact

Question 36.
From the given figure [latex]\overline{\mathbf{O A}}[/latex], [latex]\overline{\mathbf{O B}}[/latex] are called
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 17
A) angles
B) rays
C) arms
D) lines
Answer:
C) arms

Question 37.
Supplementary of an angle is three times the angle then the angle is
A) 60°
B) 45°
C) 40°
D) 90°
Answer:
A) 60°

Question 38.
From the given figure ⌊a : ⌊b = 2 : 1 then ⌊c – ⌊d = ?
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 18
A) 0°
B) 90°
C) 120°
D) 60°
Answer:
D) 60°

Question 39.
From the given figure ⌊p : ⌊q = 2 : 3 then ⌊r = ?
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 19
A) 144°
B) 36°
C) 72°
D) 108°
Answer:
C) 72°

Question 40.
From the given figure ⌊x = ?
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 20
A) 111°
B) 101°
C) 112°
D) 79°
Answer:
A) 111°

Question 41.
From the given figure ⌊x = ?
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 21
A) 60°
B) 50°
C) 70°
D) 90°
Answer:
A) 60°

Question 42.
AB line segment is denoted by
A) [latex]\stackrel{\leftrightarrow}{\mathrm{AB}}[/latex]
B) • AB[latex][/latex]
C) [latex]\overline{\mathrm{AB}}[/latex]
D) [latex]\overrightarrow{\mathrm{AB}}[/latex]
Answer:
C) [latex]\overline{\mathrm{AB}}[/latex]

Question 43.
AB ray is denoted by
A) [latex]\overleftarrow{\mathrm{AB}}[/latex]
B) [latex]\overrightarrow{\mathrm{AB}}[/latex]
C) [latex]\overleftrightarrow{\mathrm{AB}}[/latex]
D) [latex]\overline{\mathrm{AB}}[/latex]
Answer:
B) [latex]\overrightarrow{\mathrm{AB}}[/latex]

Question 44.
Which of the following are not pairs of complementary angles?
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 23
Answer:

Question 45.
Which of the following are not adjacent angles?
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 25
Answer:

Question 46.
Which of the following are not intersecting lines?
AP 7th Class Maths Bits Chapter 4 Lines and Angles with Answers 27
Answer:

AP 7th Class Maths Bits Chapter 3 Simple Equations with Answers

September 23, 2021

Practice the AP 7th Class Maths Bits with Answers Chapter 3 Simple Equations on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 7th Class Maths Bits 3rd Lesson Simple Equations with Answers

Choose the correct answer.

Question 1.
Solution of 2x + 5 = 13 is
A) 9
B) 4
C) – 9
D) – 4
Answer:
B) 4

Question 2.
LHS of the equation 2(x – 3) = 5(2x + 4) is
A) 2
B) x – 3
C) 2(x – 3)
D) 5(2x + 4)
Answer:
C) 2(x – 3)

Question 3.
2x + 5 = K then x =
A) K – 5
B) [latex]\frac{\mathrm{K}-5}{2}[/latex]
C) [latex]\frac{\mathrm{K}+5}{2}[/latex]
D) [latex]\frac{\mathrm{K}}{2}[/latex] – 5
Answer:
B) [latex]\frac{\mathrm{K}-5}{2}[/latex]

Question 4.
L.H.S of 4x – 5 = 3 is ?
A) 3
B) 4x – 5
C) -5
D) 4x
Answer:
B) 4x – 5

Question 5.
R.H.S of 2 = y – 5 is
A) y – 5
B) 2
C) y
D) – 5
Answer:
A) y – 5

Question 6.
If y = – 2 then 3 + y = ………………?
A) 1
B) – 1
C) 0
D) 4
Answer:
A) 1

Question 7.
If [latex]\frac{-9}{z}[/latex] = [latex]\frac{-11}{5}[/latex] then – (z) = ………………?
A) [latex]\frac{45}{11}[/latex]
B) [latex]\frac{-11}{45}[/latex]
C) [latex]\frac{-45}{11}[/latex]
D) [latex]\frac{11}{45}[/latex]
Answer:
C) [latex]\frac{-45}{11}[/latex]

Question 8.
If 198 = 25 z – 2 ⇒ z = ……………..?0
A) [latex]\frac{-1}{8}[/latex]
B) [latex]\frac{1}{8}[/latex]
C) – 8
D) 8
Answer:
D) 8

Question 9.
7x – 11 = 7 – 11 x ⇒ x = ……………….?
A) – 1
B) 2
C) 1
D) 0
Answer:
C) 1

Question 10.
4x – 3 = 3x – 4 ⇒ x = ……………….
A) 1
B) – 1
C) 0
D) [latex]\frac {1}{7}[/latex]
Answer:
B) – 1

Question 11.
3(x – 3) = 5 (2x + 1) ⇒ x = ………………?
A) – 2
B) 2
C) 1
D) – 1
Answer:
A) – 2

Question 12.
The length of the line segment if x = 2cm is
A) 4cm
B) 8cm
C) 6 cm
D) 16cm
AP 7th Class Maths Bits Chapter 3 Simple Equations with Answers 1
Answer:
B) 8cm

Question 13.
A number increased by 7 is represented as
A) x – 7
B) 7x
C) [latex]\frac{x}{7}[/latex]
D) 7 + x
Answer:
D) 7 + x

Question 14.
A quantity with positive sign when taken to other side of the equation, then its sign becomes
A) +
B) ×
C) ÷
D) –
Answer:
D) –

Question 15.
A quantity which divides LH.S of an equation ……………. the R.H.S.
A) add
B) subtract
C) multiplies
D) divides
Answer:
C) multiplies

Question 16.
Age of a girl is 11 years what is the age after x years?
A) x
B) 11 + x
C) 11 – x
C) 11x
Answer:
B) 11 + x

Question 17.
Sum of two numbers is 29. If one number is x then the other is
A) 29 + x
B) 29x
C) x – 29
D) 29 – x
Answer:
D) 29 – x

Question 18.
3 times a number exceeds 20 by 2. How do you represent this ?
A) 3x + 2 = 20
B) 3x = 22
C) 3x = 16
D) 3x – 2 = 22
Answer:
B) 3x = 22

Question 19.
If 3 is subtract from twice of a number is equal to 27 then the number is ………………?
A) 30
B) -15
C) 15
D) 10
Answer:
C) 15

Question 20.
The lengths of two of a scale are p,q units then its total length is ……………..?
A) p ÷ q
B) p – q
C) P × q
D) p + q
Answer:
D) p + q

Question 21.
5 is added to thrice of a number give 47 then the number is ………………..
A) 14
B) 15
C) 13
D) 21
Answer:
A) 14

Question 22.
A number is multiplied by 13 and reduced by 7 gives. Then the number is ……………..?
A) 8
B) 7
C) 6
D) 5
Answer:
C) 6

Question 23.
The sum of three consecutive integers is 30 then the least number is …………….?
A) 7
B) 8
C) 9
D) 10
Answer:
C) 9

Question 24.
From the given figure the perimeter of a rectangle is ……………… units.
AP 7th Class Maths Bits Chapter 3 Simple Equations with Answers 2
A) 2p
B) 2q
C) 0
D) pq
Answer:
A) 2p

Question 25.
From the given fig ∠x° = ……………..?
AP 7th Class Maths Bits Chapter 3 Simple Equations with Answers 3
A) 18°
B) 54°
C) 72°
D) 36°
Answer:
D) 36°

Question 26.
The sum of two numbers isl6. If one of them is p, then the other number is ……………..
A) 16 + p
B) 16 – p
C) 16 ÷ p
D) 16 × p
Answer:
B) 16 – p

Question 27.
If the present Age of Kiran is 15 years, then ‘y’ years later his age will be ……………? (years)
A) 15 + y
B) 15 – y
C) 15 × y
D) 15 ÷ y
Answer:
A) 15 + y

Question 28.
If a number exceeds [latex]\frac {2}{3}[/latex] of itself by 7 then the number is ……………?
A) [latex]\frac {21}{2}[/latex]
B) 14
C) 21
D) 7
Answer:
C) 21

Question 29.
The product of 3 consecutive integers is 120 then the greatest number is?
A) 4
B) 6
C) 8
D) 5
Answer:
B) 6

AP 7th Class Maths Bits Chapter 2 Fractions, Decimals and Rational Numbers with Answers

September 23, 2021

Practice the AP 7th Class Maths Bits with Answers Chapter 2 Fractions, Decimals and Rational Numbers on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 7th Class Maths Bits 2nd Lesson Fractions, Decimals and Rational Numbers with Answers

Choose the correct answer.

Question 1.
5 + [latex]\frac {8}{3}[/latex] =
A) [latex]\frac {13}{3}[/latex]
B) 7[latex]\frac {2}{3}[/latex]
C) [latex]\frac {7}{3}[/latex]
D) 2[latex]\frac {9}{5}[/latex]
Answer:
B) 7 [latex]\frac {2}{3}[/latex]

Question 2.
[latex]\frac {2}{3}[/latex] rd of a cake was cut and distributed. The rest of the part is
A) [latex]\frac{2}{3}[/latex]
B) [latex]\frac{1}{3}[/latex]
C) [latex]\frac{4}{3}[/latex]
D) [latex]\frac{5}{3}[/latex]
Answer:
B) [latex]\frac{1}{3}[/latex]

Question 3.
8 × [latex]\frac{2}{5}[/latex] =
A) [latex]\frac{42}{5}[/latex]
B) [latex]\frac{40}{5}[/latex]
C) [latex]\frac{16}{5}[/latex]
D) [latex]\frac{10}{5}[/latex]
Answer:
C) [latex]\frac{16}{5}[/latex]

Question 4.
[latex]\frac{2}{3}[/latex] of [latex]\frac{5}{6}[/latex] =
A) [latex]\frac{7}{9}[/latex]
B) [latex]\frac{7}{3}[/latex]
C) [latex]\frac{7}{6}[/latex]
D) [latex]\frac{10}{18}[/latex]
Answer:
D) [latex]\frac{10}{18}[/latex]

Question 5.
Equalent fraction of [latex]\frac{4}{5}[/latex] is ……………..
A) [latex]\frac{16}{15}[/latex]
B) [latex]\frac{12}{20}[/latex]
C) [latex]\frac{20}{25}[/latex]
D) [latex]\frac{28}{30}[/latex]
Answer:
C) [latex]\frac{20}{25}[/latex]

Question 6.
[latex]\frac{11}{9}[/latex] = ……………… ?
A) [latex]\frac{121}{99}[/latex]
B) [latex]\frac{55}{36}[/latex]
C) [latex]\frac{44}{45}[/latex]
D) [latex]\frac{77}{54}[/latex]
Answer:
A) [latex]\frac{121}{99}[/latex]

Question 7.
3[latex]\frac{1}{3}[/latex] + 4 [latex]\frac{2}{3}[/latex] = ………………….?
A) [latex]\frac{1}{8}[/latex]
B) 8
C) 7
D) [latex]\frac{22}{3}[/latex]
Answer:
B) 8

Question 8.
1 – 6 [latex]\frac{7}{8}[/latex] = …………………?
A) [latex]\frac{47}{8}[/latex]
B) [latex]\frac{63}{8}[/latex]
C) [latex]\frac{-45}{8}[/latex]
D) [latex]\frac{-47}{8}[/latex]
Answer:
D) [latex]\frac{-47}{8}[/latex]

Question 9.
The dimensions of one rectangle are 2[latex]\frac {1}{3}[/latex], 4[latex]\frac {1}{7}[/latex] then its area is ……………. sq. units.
A) [latex]\frac{28}{3}[/latex]
B) [latex]\frac{29}{3}[/latex]
C) [latex]\frac{31}{3}[/latex]
D) [latex]\frac{29}{7}[/latex]
Answer:
B) [latex]\frac{29}{3}[/latex]

Question 10.
From the above sum the perimeter of a rectangle is …………….. units.
A) [latex]\frac{135}{27}[/latex]
B) [latex]\frac{136}{27}[/latex]
C) [latex]\frac{272}{21}[/latex]
D) [latex]\frac{136}{21}[/latex]
Answer:
C) [latex]\frac{272}{21}[/latex]

Question 11.
The total number of pages in a book are 7 [latex]\frac {1}{8}[/latex] . If Gayatri read 5[latex]\frac {1}{8}[/latex] pages, then number of pages are to be read?
A) 3
B) 2
C) 2[latex]\frac {1}{8}[/latex]
D) 3[latex]\frac {1}{8}[/latex]
Answer:
B) 2

Question 12.
5[latex]\frac {7}{6}[/latex] × 1[latex]\frac {2}{37}[/latex] = ……………?
A) [latex]\frac{39}{37}[/latex]
B) [latex]\frac{37}{39}[/latex]
C) [latex]\frac{2}{13}[/latex]
D) [latex]\frac{13}{2}[/latex]
Answer:
D) [latex]\frac{13}{2}[/latex]

Question 13.
[latex]\frac {2}{5}[/latex] of 15 – [latex]\frac {1}{3}[/latex] of 12 = ……………?
A) 10
B) 0
C) 2
D) 1
Answer:
C) 2

Question 14.
[latex]\frac {1}{4}[/latex] × = [latex]\frac {3}{20}[/latex]
A) [latex]\frac{3}{5}[/latex]
B) [latex]\frac{4}{5}[/latex]
C) 3
D) [latex]\frac{1}{5}[/latex]
Answer:
A) [latex]\frac{3}{5}[/latex]

Question 15.
Lowest form of [latex]\frac {2}{7}[/latex] × 3[latex]\frac {1}{2}[/latex] × 1[latex]\frac {1}{5}[/latex] × 2 [latex]\frac {1}{2}[/latex] = …………………?
A) 3
B) 1/2
C) 4
D) [latex]\frac{1}{3}[/latex]
Answer:
A) 3

Question 16.
2[latex]\frac{1}{3}[/latex] ÷ 3[latex]\frac{4}{7}[/latex] = ………………?
A) [latex]\frac{3}{25}[/latex]
B) [latex]\frac{25}{3}[/latex]
C) [latex]\frac{75}{49}[/latex]
D) [latex]\frac{49}{75}[/latex]
Answer:
D) [latex]\frac{49}{75}[/latex]

Question 17.
The value of 23. 875 – 0.235 = ……………
A) 23.640
B) 21.640
C) 0.375
D) 25.105
Answer:
A) 23.640

Question 18.
10.05 × 1.05 = ………………?
A) 10.5225
B) 10.525
C) 10.5525
D) 10.5252
Answer:
C) 10.5525

Question 19.
A car uses 133 litre’s of petrol to run 190 kms. Then number of Its of petrol to run
110 kms is ………………..?
A) 77 litre’s
B) 87 litre’s
C) 66 litre’s
D) 63 litre’s
Answer:
A) 77 litre’s

Question 20.
Which is greater
[latex]\frac{7}{4}, \frac{9}{4}, \frac{8}{4}, \frac{11}{4}[/latex]
A) [latex]\frac{7}{4}[/latex]
B) [latex]\frac{9}{4}[/latex]
C) [latex]\frac{8}{4}[/latex]
D) [latex]\frac{11}{4}[/latex]
Answer:
D) [latex]\frac{11}{4}[/latex]

Question 21.
Which is lesser [latex]\frac{3}{5}, \frac{2}{5}, \frac{7}{5}, \frac{6}{5}[/latex]?
A) [latex]\frac{3}{5}[/latex]
B) [latex]\frac{2}{5}[/latex]
C) [latex]\frac{3}{5}[/latex]
D) [latex]\frac{3}{5}[/latex]
Answer:
B) [latex]\frac{2}{5}[/latex]

Question 22.
Arrange in ascending order [latex]\frac{2}{3}, \frac{5}{3}, \frac{6}{5}[/latex]
A) [latex]\frac{2}{3}, \frac{5}{3}, \frac{6}{5}[/latex]
B) [latex]\frac{5}{3}, \frac{2}{3}, \frac{6}{5}[/latex]
C) [latex]\frac{2}{3}, \frac{6}{5}, \frac{5}{3}[/latex]
D) [latex]\frac{6}{5}, \frac{5}{3}, \frac{2}{3}[/latex]
Answer:
C) [latex]\frac{2}{3}, \frac{6}{5}, \frac{5}{3}[/latex]

Question 23.
Which of the following fraction is greatest?
A) [latex]\frac{1}{2}[/latex]
B) [latex]\frac{2}{5}[/latex]
C) [latex]\frac{5}{8}[/latex]
D) [latex]\frac{1}{3}[/latex]
Answer:
C) [latex]\frac{5}{8}[/latex]

Question 24.
Simplest form of [latex]\frac{\mathbf{3 7 5}}{\mathbf{1 0 0 0}}[/latex] is ………………
A) [latex]\frac{3}{8}[/latex]
B) [latex]\frac{8}{3}[/latex]
C) [latex]\frac{5}{8}[/latex]
D) [latex]\frac{3}{5}[/latex]
Answer:
A) [latex]\frac{3}{8}[/latex]

Question 25.
Which of the following is not correct (not equal)?
A) [latex]\frac{2}{3}=\frac{84}{75}[/latex]
B) [latex]\frac{3}{8}=\frac{375}{1000}[/latex]
C) [latex]\frac{70}{10}=\frac{7000}{1000}[/latex]
D) [latex]\frac{25}{45}=\frac{125}{175}[/latex]
Answer:
A) [latex]\frac{2}{3}=\frac{84}{75}[/latex]

Question 26.
[latex]\frac {4}{7}[/latex] × = [latex]\frac {32}{35}[/latex]
A) [latex]\frac{8}{7}[/latex]
B) [latex]\frac{8}{5}[/latex]
C) [latex]\frac{7}{5}[/latex]
D) [latex]\frac{7}{8}[/latex]
Answer:
B) [latex]\frac{8}{5}[/latex]

Question 27.
[latex]\frac{-12}{51}=\frac{(\mathbf{x})}{68}[/latex] ⇒ x = ………………..?
A) 16
B) 48
C) – 48
D) – 16
Answer:
D) – 16

Question 28.
Which of the following statement is false?
A) Every rational number is an integer.
B) A rational number is in the form of p/q, q≠0
C) [latex]\frac{5}{7}, \frac{6}{11}, \frac{15}{11}[/latex] are equalent fractions.
D) [latex]\frac{44}{48}=\frac{77}{96}[/latex]
Answer:
D) [latex]\frac{44}{48}=\frac{77}{96}[/latex]

Question 29.
[latex]\frac {11}{9}[/latex] is a ……………… fraction.
A) proper
B) an improper
C) mixed
D) none
Answer:
B) an improper

Question 30.
The reciprocal of an improper fraction is a …………………. fraction.
A) proper
B) an improper
C) mixed
D) none
Answer:
A) proper

Question 31.
In 8376.705 the digit is in Hundreth place is ………………..
A) 7
B) 5
C) 0
D) 3
Answer:
C) 0

Question 32.
The place value of “tenths” digit in, 763.128 is ……………..
A) 8
B) 1
C) 2
D) 6
Answer:
B) 1

Question 33.
The place value of the digit ‘7’ in 19.171 is ………………?
A) tenths
B) hundreths
C) thousandths
D) tens
Answer:
B) hundreths

Question 34.
A number which in the form of p/q is called a ……………. number.
A) irrational
B) rational
C) real
D) integer
Answer:
B) rational

Question 35.
[latex]\frac{123}{1000}[/latex] =
A) 1.23
B) 12.3
C) 0.123
D) 1230
Answer:
C) 0.123

Question 36.
1827.582 × 10 =
A) 18.7582
B) 182758.2
C) 18275.82
D) None
Answer:
C) 18275.82

Question 37.
3.82 × 100 =
A) 382
B) 38.2
C) 0.0382
D) 3820
Answer:
A) 382

Question 38.
Decimal form of 99 rupees 77 paise is ………………
A) 9.977
B) 99.77
C) 0.9977
D) 997.7
Answer:
B) 99.77

Question 39.
2407 gms = ……………… kgs.
A) 2.407
B) 24.07
C) 0.2407
D) 240.7
Answer:
A) 2.407

Question 40.
Expanded form of 1.11 is …………………
A) 1 × 1 + [latex]\frac{1}{100}[/latex] + [latex]\frac{1}{1000}[/latex]
B) 1 × 10 + [latex]\frac{1}{10}[/latex] + [latex]\frac{1}{100}[/latex]
C) 1 × 1 + [latex]\frac{1}{10}[/latex] + [latex]\frac{1}{1000}[/latex]
D) 1 × 1 + [latex]\frac{1}{10}[/latex] + [latex]\frac{1}{100}[/latex]
Answer:
D) 1 × 1 + [latex]\frac{1}{10}[/latex] + [latex]\frac{1}{100}[/latex]

Question 41.
43.071 × 100 = ……………….?
A) 43071
B) 0.43071
C) 4307.1
D) 430.71
Answer:
C) 4307.1

Question 42.
Standard form of 9 × 10 + 8 × [latex]\frac{1}{10}[/latex] + 7 × [latex]\frac{1}{100}[/latex] + 6 × [latex]\frac{1}{1000}[/latex] = ………………?
A) 98.76
B) 9.0876
C) 9.876
D) 98.076
Answer:
B) 9.0876

Question 43.
95 mm = ……………… kms.
A) 0.000095
B) 0.00095
C) 0.0095
D) 0.95
Answer:
A) 0.000095

Question 44.
Which of the following shaded region represents 3/4th fraction.
AP 7th Class Maths Bits Chapter 2 Fractions, Decimals and Rational Numbers with Answers 3
Answer:

Question 45.
AP 7th Class Maths Bits Chapter 2 Fractions, Decimals and Rational Numbers with Answers 5 The shaded region represents ……………..
A) [latex]\frac{1}{2}[/latex]
B) [latex]\frac{1}{3}[/latex]
C) [latex]\frac{1}{4}[/latex]
D) [latex]\frac{1}{5}[/latex]
Answer:
C) [latex]\frac{1}{4}[/latex]

Question 46.
AP 7th Class Maths Bits Chapter 2 Fractions, Decimals and Rational Numbers with Answers 6 The shaded region represents ……………..
A) [latex]\frac{2}{3}[/latex]
B) [latex]\frac{3}{2}[/latex]
C) [latex]\frac{1}{2}[/latex]
D) [latex]\frac{1}{3}[/latex]
Answer:
A) [latex]\frac{2}{3}[/latex]

Question 47.
PictorIal representation of 3 × [latex]\frac{1}{4}[/latex] = [latex]\frac{3}{4}[/latex]
AP 7th Class Maths Bits Chapter 2 Fractions, Decimals and Rational Numbers with Answers 7
D) None
Answer:

Question 48.
Which of the following are not equal?
A) [latex]\frac{-2}{3}, \frac{-4}{6}[/latex]
B) [latex]\frac{-1}{2}, \frac{-8}{6}[/latex]
C) [latex]\frac{-1}{2}, \frac{-8}{16}[/latex]
D) [latex]\frac{-1}{4}, \frac{-2}{8}[/latex]
Answer:
B) [latex]\frac{-1}{2}, \frac{-8}{6}[/latex]

Question 49.
Represent 3/4 on the number line?
AP 7th Class Maths Bits Chapter 2 Fractions, Decimals and Rational Numbers with Answers 9
D) None
Answer:

AP 7th Class Maths Bits Chapter 1 Integers with Answers

September 23, 2021

Practice the AP 7th Class Maths Bits with Answers Chapter 1 Integers on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 7th Class Maths Bits 1st Lesson Integers with Answers

Choose the correct answer.

Question 1.
8 + (- 11) =
A) 19
B) 3
C) – 3
D) – 19
Answer:
C) – 3

Question 2.
(- 7) + 5 =
A) – 12
B) 12
C) 35
D) – 2
Answer:
D) – 2

Question 3.
(- 6) – (- 3) =
A) – 3
B) – 9
C) 3
D) 9
Answer:
A) – 3

Question 4.
(- 4) × (- 6) =
A) – 24
B) 24
C) – 10
D) 10
Answer:
B) 24

Question 5.
(- 10) × (3) =
A) – 7
B) 13
C) 30
D) – 30
Answer:
D) – 30

Question 6.
Difference between – 5 and 5 is
A) 0
B) 10
C) – 10
D) 1
Answer:
B) 10, C) – 10

Question 7.
11 ÷ 0 =
A) 0
B) 11
C) 1
D) cannot determine
Answer:
D) cannot determine

Question 8.
1 × (-1) × 1 x (-1) × …………….. 11 times = ?
A) 1
B) – 1
C) 11
D) 0
Answer:
B) – 1

Question 9.
– 8 + 16 – 24 + 32 – 64 = ?
A) – 48
B) 48
C) 80
D) – 80
Answer:
A) – 48

Question 10.
7 – {7 – (7 – [latex]\overline{7-1}[/latex])} = ……………?
A) 0
B) 7
C) 6
D) 1
Answer:
D) 1

Question 11.
(- 1) × 2 × (- 3) × 4 × (- 5) = ……….. ?
A) 60
B) 120
C) -120
D) – 240
Answer:
C) -120

Question 12.
(- 576) × 1153 × 405 × 0 × 11 = ………..?
A) 0
B) 11
C) – 50730
D) None of these
Answer:
A) 0

Question 13.
(- 289) ÷ (- 17) = …………….
A) [latex]\frac{1}{17}[/latex]
B) – 17
C) 17
D) [latex]\frac{-1}{17}[/latex]
Answer:
C) 17

Question 14.
(-1)^{odd number} + (-1)^{even number} = ……………..?
A) 1
B) 0
C) -1
D) 2
Answer:
B) 0

Question 15.
The temperature of particular day of a village Lambasingi is – 16°C. it is reduced to – 11°C on the next day, what is the present temperature?
A) 27°
B) – 27°
C) – 5°
D) 5°
Answer:
C) – 5°

Question 16.
What is the value of – 1 – 2 – 3 – 4 (- 16) = ………………?
A) -105
B) – 144
C) 136
D) -136
Answer:
D) -136

Question 17.
Kalyan has rupees of largest number of 3 digits. If he buys some things for rupees of smallest number of 3 – digits, then the money with Kalyan is?
A) ₹ 900
B) ₹ 899
C) ₹ 990
D) ₹ 890
Answer:
B) ₹ 899

Question 18.
What is the value of 15 × (- 25) × (- 4) × (- 10) = …………..?
A) – 15000
B) 15000
C) 14000
D) – 14000
Answer:
A) – 15000

Question 19.
What is the value of 42 × (- 5) + (- 8) × 5 = ……………?
A) 170
B) 250
C) – 250
D) -170
Answer:
C) – 250

Question 20.
Simplify : ([latex]\frac{-3}{4}[/latex]) × ([latex]\frac{5}{-6}[/latex]) × [latex]\frac{8}{7}[/latex] × ([latex]\frac{-14}{5}[/latex])
A) [latex]\frac {-1}{2}[/latex]
B) – 2
C) 2
D) [latex]\frac {1}{2}[/latex]
Answer:
B) – 2

Question 21.
Which of the following is correct?
A) 8 ÷ 0 = 0
B) 0 ÷ 11 = 11
C) (- 7) ÷ 0 = – 7
D) 0 ÷ (- 5) = 0
Answer:
D) 0 ÷ (- 5) = 0

Question 22.
Commutative law doesn’t hold for following operation?
A) Addition
B) Subtraction
C) Multiplication
D) None
Answer:
B) Subtraction

Question 23.
……………. × (- 12) = 132
A) – 12
B) 11
C) – 11
D) – 13
Answer:
C) – 11

Question 24.
Which of the following set doesn’t hold for commutative for subtraction?
A) N
B) Q
C) Z
D) None
Answer:
A) N

Question 25.
Number of integers between – 8 and 5 are?
A) 12
B) 11
C) 10
D) 13
Answer:
A) 12

Question 26.
Which of the following is not correct?
A) 2 × 0 = 0
B) 3 × 0 = 0
C) 4 ÷ 4- 0 = not defined
D) 0 ÷ 4 = 4
Answer:
D) 0 ÷ 4 = 4

Question 27.
Which of the following is correct?
A) a ÷ (-1) = a
B) (-a) ÷ 1 = a
C) (-a) ÷ (-1) = a
D) 1 ÷ a = a
Answer:
C) (-a) ÷ (-1) = a

Question 28.
a + b = b + a, this property is called
A) closure
B) commutative
C) associative
D) identity
Answer:
B) commutative

Question 29.
Which of the following is not in the natural numbers
A) additive identity
B) closure property w.r.t +
C) associative property w.r.t ×
D) commutative w.r.t +
Answer:
A) additive identity

Question 30.
If a gain of ₹ 10 is denoted by + 10, then a loss of ₹ 8 is denoted by
A) + 8
B) – 8
C) + 2
D) + 18
Answer:
B) – 8

Question 31.
a × b = b × a is a …………….. property.
A) Closure under addition
B) Distributive
C) Commutative under multiplication
D) Closer under multiplication
Answer:
C) Commutative under multiplication

Question 32.
a + (b + c) = (a + b) + c is a ……………. law ?
A) Associative under multiplication
B) Associative under addition
C) Commutative under addition
D) Closure under addition
Answer:
B) Associative under addition

Question 33.
Which of the following is an additive identity?
A) 1
B) -1
C) 0
D) None
Answer:
C) 0

Question 34.
Which of the following is a multiplicative identity?
A) 1
B) – 1
C) 0
D) None
Answer:
A) 1

Question 35.
Set of Integers = …………….?
A) N = {1, 2, 3 ……………}
B) W = {0,1, 2, …………..}
C) Z = {- 3, -2, -1, 0, 1, 2 ………….}
D) Q ={x/x ∈ p/q, q ≠ 0}
Answer:
C) Z = {- 3, -2, -1, 0, 1, 2 ………….}

Question 36.
Which of the following are in ascending order?
A) 8, 5, 0, – 1, – 7
B) – 8, – 5, 1, 2
C) 4, 3, 5, – 1, 7
D) – 1, 0, 1, – 5
Answer:
B) – 8, – 5, 1, 2

Question 37.
The descending order in the following is?
A) 8, 7, 6, 9, 10
B) 4, 2, – 1, – 3
C) -1, -2, -3, 0
D) -1, 0, 1, 2
Answer:
B) 4, 2, – 1, – 3

Question 38.
The digits between – 3 and 2
A) -2, 1, 0
B) -2, 1, 2
C) – 2, – 1, 1
D) -2, -1, 0, 1
Answer:
D) -2, -1, 0, 1

Question 39.
Sirisha has ₹25, she purchased certain items for ₹2, ₹8, ₹17 then the remaining money with her?
A) – ₹ 2
B) ₹ 2
C) – ₹ 3
D) None
Answer:
A) – ₹ 2

Question 40.
In a quiz every right answer carries 5 marks and every wrong answer (- 2) marks. If a total of 10 questions were asked of which 7 are correct, then the total score is ……………..?
A) 29
B) – 29
C) 36
D) -31
Answer:
A) 29

Question 41.
Represent 5 × (-2) on the number line?
AP 7th Class Maths Bits Chapter 1 Integers with Answers 1
Answer:

Question 42.
Represent 5 – (- 2) on the number line?
AP 7th Class Maths Bits Chapter 1 Integers with Answers 3
Answer:

Question 43.
Represent – 3 – (- 2) on the number line?
AP 7th Class Maths Bits Chapter 1 Integers with Answers 5

Answer:

Question 44.
Represent the largest negative number on the number line?
AP 7th Class Maths Bits Chapter 1 Integers with Answers 8
Answer:

AP 8th Class Maths Bits Chapter 15 Playing with Numbers with Answers

September 22, 2021

Practice the AP 8th Class Maths Bits with Answers Chapter 15 Playing with Numbers on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 8th Class Maths Bits 15th Lesson Playing with Numbers with Answers

Choose the correct answer.

Question 1.
Which of the following is divisible by 2?
A) 41
B) 449
C) 573
D) 8096
Answer:
D) 8096

Question 2.
Which of the following is divisible by 3?
A) 76
B) 123
C) 457
D) 9082
Answer:
B) 123

Question 3.
Which of the following is divisible by 5?
A) 11
B) 1101
C) 1001
D) 1100
Answer:
D) 1100

Question 4.
Which of the following is divisible by ‘7’?
A) 4277
B) 3513
C) 862
D) 4675
Answer:
A) 4277

Question 5.
Which of the following is divisible by ’11’?
A) 12325
B) 56478
C) 13431
D) 122
Answer:
C) 13431

Question 6.
Every palindrome number is divisible by
A) 13
B) 17
C) 19
D) 11
Answer:
D) 11

Question 7.
Which of the following is divisible by ‘9’?
A) 1134
B) 1235
C) 1236
D) 1237
Answer:
A) 1134

Question 8.
876123 is divisible by
A) 999
B) 877
C) 109
D) Both A & B
Answer:
D) Both A & B

Question 9.
The sum of the numbers which are divisible by 5 from 1 to 50 is
A) 285
B) 275
C) 295
D) 265
Answer:
B) 275

Question 10.
If 7A – 16 = A9 then A =
A) 3
B) 4
C) 5
D) 7
Answer:
C) 5

Question 11.
If 73K ÷ 8 = 9L then K + L =
A) 2
B) 4
C) 6
D) 8
Answer:
D) 8

Question 12.
AP 8th Class Maths Bits Chapter 15 Playing with Numbers with Answers 1 then H = ?
A) 0
B) 1
C) 2
D) 3
Answrer:
A) 0

Question 13.
Which of the following divides (n³ – n)?
A) 1
B) 2
C) 3
D) 5
Answer:
C) 3

Question 14.
If a number is divisible by ‘5’ then its units digit be ……………….
A) 0
B) 5
C) A & B
D) None
Answer:
C) A & B

Question 15.
(a³ – b³) ÷ (a – b) = ………………
A) a² + ab + b²
B) a – ab + b²
C) a² – ab – b²
D) a – b²
Answer:
A) a² + ab + b²

Question 16.
Sum of first ‘n’ natural numbers is ………………..
A) [latex]\frac{n+3}{2}[/latex]
B) [latex]\frac{\mathrm{n}}{2}[/latex]
C) [latex]\frac{\mathrm{n}-1}{2}[/latex]
D) [latex]\frac{n(n+1)}{2}[/latex]
Answer:
D) [latex]\frac{n(n+1)}{2}[/latex]

Question 17.
If a number 24P is divided by 3 the remainder is 1 and when divided by 5 the remainder is 2 then the value of P is …………………..
A) 2
B) 7
C) 10
D) 9
Answer:
B) 7

Question 18.
If 50B is divisible by 5 then B = …………………
A) 0 or 5
B) 0 or 9
C) 1 or 6
D) 3 or 4
Answer:
A) 0 or 5

Question 19.
The largest number of two digits which is divisible by 2, 5, 10 is ………………….
A) 70
B) 80
C) 90
D) 60
Answer:
C) 90

Question 20.
1, 2, 3, 4, 6, 8, 12, 24 are the multiples of ……………….
A) 24
B) 42
C) 13
D) 18
Answer:
A) 24

Question 21.
No. of rectangles in the figure are ………………
A) 9
B) 10
C) 8
D) 11
Answer:
B) 10

Question 22.
2² + 2³ + 2⁴ = ……………….
A) 28
B) 13
C) 10
D) 16
Answer:
A) 28

Question 23.
32² = ……………..
A) 1004
B) 3010
C) 1204
D) 1024
Answer:
D) 1024

Question 24.
The sum of all numbers that are divisible by 3 from 11 to 1000 is ………………
A) 766155
B) 766118
C) 166815
D) 766815
Answer:
C) 166815

Question 25.
AP 8th Class Maths Bits Chapter 15 Playing with Numbers with Answers 3 In this A = ……………..
A) 7
B) 6
C)10
D) 9
Answer:
D) 9

Question 26.
AP 8th Class Maths Bits Chapter 15 Playing with Numbers with Answers 4 In this P = ………………..
A) 3
B) 14
C) 9
D) 4
Answer:
A) 3

Question 27.
The number divisible by 2,5 and 10 is ………………
A) 16
B) 40
C) 19
D) 12
Answer:
B) 40

Question 28.
[latex]\frac{a^{5}+b^{5}}{a-b}[/latex] = …………………
A) a⁴ – b
B) a – b⁴
C) a – b²
D) None
Answer:
D) None

Question 29.
The general form of a four digit number p q r s is ………………..
A) 1000a + 100p + r + 10s
B) 100p + 10q + r + s
C) 1000a + p + r
D) 1000p + 100q + 10r + s
Answer:
D) 1000p + 100q + 10r + s

Question 30.
a b c is a 3 digited number then abc – a – b – c is divisible by ……………….
A) 13
B) 11
C) 9
D) 10
Answer:
C) 9

Question 31.
Which of the following is divisible by 99?
A) 114345
B) 3572406
C) 913462
D) 135792
Answer:
A) 114345

Question 32.
5A × A = 399 then the value of A = ………………
A) 3
B) 7
C) 4
D) 6
Answer:
B) 7

Question 33.
If the sum of the digits of a number is divisible by 3 then it is divisible by ……………..
A) 7
B) 5
C) 4
D) 3
Answer:
D) 3

Question 34.
2x ÷ 0 ………………
A) 0
B) x
C) 2
D) not defined
Answer:
D) not defined

Question 35.
abc is a 3 digited number then abc + bca + cab is not divisible by …………….
A) a + b + c
B) 3
C) 37
D) 10
Answer:
C) 37

Question 36.
AP 8th Class Maths Bits Chapter 15 Playing with Numbers with Answers 5 In this A = …………………
A) 6
B) 5
C) 1
D) 3
Answer:
B) 5

Question 37.
In the above problem B = ……………..
A) 7
B) 6
C) 8
D) 1
Answer:
D) 1

Question 38.
AP 8th Class Maths Bits Chapter 15 Playing with Numbers with Answers 6 In this A = ………………
A) 7
B) 6
C) 4
D) 3
Answer:
A) 7

Question 39.
In the above problem B = ……………..
A) 5
B) 9
C) 6
D) 4
Answer:
D) 4

Question 40.
Which of the following is divisible by 9?
A) 108
B) 111
C) 112
D) 110
Answer:
A) 108

Question 41.
AP 8th Class Maths Bits Chapter 15 Playing with Numbers with Answers 7 In this A = ……………
A) 2
B) 4
C) 6
D) 3
Answer:
A) 2

Question 42.
In the above problem D = ……………….
A) 8
B) 6
C) 9
D) 1
Answer:
C) 9

Question 43.
One of the multiples of 9 is ………………
A) 87
B) 33
C) 45
D) 50
Answer:
C) 45

Question 44.
Σn = ……………
A) [latex]\frac{n(n+1)}{2}[/latex]
B) [latex]\frac{n(n-1)}{2}[/latex]
C) [latex]\frac{n}{2}[/latex]
D) [latex]\frac{n+1}{2}[/latex]
Answer:
A) [latex]\frac{n(n+1)}{2}[/latex]

Question 45.
1 + 1 + …………… + 10 times = …………..
A) 1
B) 9
C) 12
D) 10
Answer:
D) 10

Question 46.
1 – 1 + 1 – 1 + ……………… 9 times = …………..
A) -1
B) 2
C) 1
D) 9
Answer:
C) 1

Question 47.
1² + 2² + 3² + ……………. n² = ………….
A) [latex]\frac{n^{2}(n+1)^{2}(2 n+1)}{6}[/latex]
B) [latex]\frac{n(n+1)(2 n+1)}{6}[/latex]
C) [latex]\frac{n(n+1)}{4}[/latex]
D) None
Answer:
B) [latex]\frac{n(n+1)(2 n+1)}{6}[/latex]

Question 48.
Which of the following is divisible by 11?
A) 151
B) 1331
C) 1211
D) 1334
Answer:
B) 1331

Question 49.
General form of an even number ……………….
A) 1 + 2n
B) [latex]\frac{\mathrm{n}}{2}[/latex]
C) 2n
D) [latex]\frac{2}{n}[/latex]
Answer:
C) 2n

Question 50.
Σn³ = ……………..
A) [latex]\frac{n^{2}(n+1)^{2}}{4}[/latex]
B) [latex]\frac{n(n+1)}{2}[/latex]
C) [latex]\frac{n(n-1)}{4}[/latex]
D) [latex]\frac{n(n+3)}{4}[/latex]
Answer:
A) [latex]\frac{n^{2}(n+1)^{2}}{4}[/latex]

AP 8th Class Maths Bits Chapter 14 Surface Areas and Volume (Cube-Cuboid) with Answers

September 22, 2021

Practice the AP 8th Class Maths Bits with Answers Chapter 14 Surface Areas and Volume (Cube-Cuboid) on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 8th Class Maths Bits 14th Lesson Surface Areas and Volume (Cube-Cuboid) with Answers

Choose the correct answer.

Question 1.
L.S.A. of a cuboid is
A) 2h(l + b)
B) 2(l + b)
C) 2(lb + bh + lh)
D) 4a²
Answer:
A) 2h(l + b)

Question 2.
T.S.A. of a cube is
A) 4a²
B) 6a²
C) 2(lb + bh + lh)
D) 2h(l + b)
Answer:
B) 6a²

Question 3.
The T.S.A. of a cuboid of measures 20 cm × 10 cm × 15 cm is (sq.cm)
A) 130
B) 13,000
C) 1300
D) None
Answer:
C) 1300

Question 4.
Net form of a cube is
AP 8th Class Maths Bits Chapter 14 Surface Areas and Volume (Cube-Cuboid) with Answers 1
D) None
Answer:

Question 5.
If the side of a cube is doubled then the change in its T.S.A. is
A) 1 time
B) 2 times
C) 3 times
D) 4 times
Answer:
D) 4 times

Question 6.
If s = 6 cm then T.S.A. of a cube (sq.cm) is
A) 216
B) 260
C) 460
D) None
Answer:
A) 216

Question 7.
1 cu.cm. =
A) 10 mm³
B) 100 mm³
C) 1000 mm³
D) None
Answer:
C) 1000 mm³

Question 8.
Volume of a cuboid (V) = ………………
A) [latex]\frac{\mathrm{lb}}{\mathrm{h}}[/latex]
B) lbh
C) s³
D) [latex]\frac{\mathrm{l} \mathrm{h}}{\mathrm{b}}[/latex]
Answer:
B) lbh

Question 9.
The volume of a water tank of measuring 1.4 m × 1 m × 0.7 m is (in Lts)
A) 98
B) 9.8
C) 980
D) 9800
Answer:
C) 980

Question 10.
Volume of a cube of side ‘s’ is ……………….
A) [latex]\frac{3 a}{2}[/latex]
B) [latex]\frac{a}{3}[/latex]
C) 3a
D) a³
Answer:
D) a³

Question 11.
1 cm³ = …………….. mm.
A) 1
B) 2
C) 3
D) 7
Answer:
A) 1

Question 12.
1 m³ = ………………. kilo liter
A) 6
B) 4
C) 1
D) 10
Answer:
C) 1

Question 13.
The volume of a wood measuring 20 cm × 10 cm x 8 cm is ……………….
A) 900
B) 1800
C) 1600
D) 1000
Answer:
C) 1600

Question 14.
If V = lbh then h = ……………..
A) [latex]\frac{\mathrm{vb}}{l}[/latex]
B) [latex]\frac{l}{\mathrm{vb}}[/latex]
C) [latex]\frac{\mathrm{lb}}{\mathrm{v}}[/latex]
D) [latex]\frac{\mathrm{v}}{\mathrm{lb}}[/latex]
Answer:
D) [latex]\frac{\mathrm{v}}{\mathrm{lb}}[/latex]

Question 15.
Number of formulae can be framed from the formula, V = lbh is ………………
A) 3
B) 6
C) 4
D) 9
Answer:
A) 3

Question 16.
1 Litre = ……………. cu. cm
A) 1000
B) 100
C) 10
D) 800
Answer:
A) 1000

Question 17.
If the breadth of a cuboid is half of its length and height is 2 times of its length then its volume is …………….
A) l
B) 2l
C) 10l
D) None
Answer:
D) None

Question 18.
No.of soaps of measuring 6 cm × 4.5 cm × 40 mm are to be inserted in a cuboidal box of measuring 1.8 m × 90 cm × 60 cm is ………………
A) 1000
B) 2000
C) 9000
D) 8000
Answer:
C) 9000

Question 19.
TSA of a cuboid is ………………
A) 2h (l + b)
B) 2 (lb + bh + lh)
C) 2 lb + 2 l²
D) 2 (lb – bh) – 1
Answer:
B) 2 (lb + bh + lh)

Question 20.
The volume of a cube of edge 1 unit side is …………… cu. units.
A) 4
B) 3
C) 2
D) 1
Answer:
D) 1

Question 21.
Area of four walls of a room is ………………
A) 2h (l + b)
B) 2 (l + b)
C) 2 (l – b)
D) 2 (a + b)
Answer:
A) 2h (l + b)

Question 22.
Number of faces of a cube is …………..
A) 7
B) 8
C) 6
D) 9
Answer:
C) 6

Question 23.
The volume of a cube is 216m³ then its edge is ……………. mts.
A) 22
B) 16
C) 9
D) 6
Answer:
D) 6

Question 24.
Diagonal of a cube is ………………
A) a√3
B) [latex]\frac{\sqrt{3}}{a}[/latex]
C) 3a
D) [latex]\frac{a}{\sqrt{3}}[/latex]
Answer:
A) a√3

Chapter 14 Surface Areas and Volume (Cube-Cuboid)

Question 25.
The measurements of a cuboid are 15 m length, 12 m breadth and height is 5
m then its volume is …………… cm³
A) 600
B) 500
C) 1800
D) 900
Answer:
D) 900

Question 26.
In the above problem LSA = ……………… cm²
A) 170
B) 270
C) 180
D) 200
Answer:
B) 270

Question 27.
The diagonal of a cube is [latex][/latex] cm then its edge is ……………… cm
A) 6
B) 4
C) 9
D) 2
Answer:
D) 2

Question 28.
The volume of a cuboid with sides a, b and c is v and its surface area is s then …………………
A) V = 2 s (a + b + 1)
B) V = 2 ([latex]\frac{1}{a}+\frac{1}{b}+\frac{1}{c}[/latex])
C) (b + c)
D) [latex]\frac{1}{\mathrm{~V}}=\frac{2}{\mathrm{~s}}\left(\frac{1}{\mathrm{a}}+\frac{1}{\mathrm{~b}}+\frac{1}{\mathrm{c}}\right)[/latex]
Answer:
D) [latex]\frac{1}{\mathrm{~V}}=\frac{2}{\mathrm{~s}}\left(\frac{1}{\mathrm{a}}+\frac{1}{\mathrm{~b}}+\frac{1}{\mathrm{c}}\right)[/latex]

Question 29.
If the edge of a cube is doubled then its volume increases by ……………. times.
A) 9
B) 16
C) 8
D) 18
Answer:
C) 8

Question 30.
If a trench with measurements 5m × 6m × 3m is dug out then its volume is …………… m³
A) 915
B) 105
C) 165
D) 115
Answer:
B) 105

Question 31.
The base perimeter of a room is 34 m and its height is 10 m then the area of four walls of a room is …………….. m²
A) 170
B) 220
C) 140
D) 340
Answer:
D) 340

Question 32.
The ratio between the LSA and area of base of a cuboid is ………………..
A) 1 : 2
B) 2 : 1
C) 4 : 1
D) 1 : 4
Answer:
C) 4 : 1

Question 33.
TSA of a cuboid means area of ………………… faces.
A) 5
B) 6
C) 4
D) 10
Answer:
B) 6

Question 34.
Two cubes of each edge ‘a’ is joined end to end then the surface area of the resultant cuboid is …………….
A) 9b²
B) 10b²
C) 18b
D) 16b²
Answer:
B) 10b²

Question 35.
Two cubes of 6 cm edges are joined end to end then the volume of the resulting figure is ……………….. cm³
A) 432
B) 430
C) 332
D) 440
Answer:
A) 432

Question 36.
Each face of a cube has a perimeter 32 cm then its side is ………………. cm
A) 12
B) 11
C) 16
D) 8
Answer:
D) 8

Question 37.
In the above problem volume is ………………… cm³
A) 635
B) 116
C) 256
D) 156
Answer:
C) 256

Question 38.
The edge of a cube is 6√2 cm then its base area is ………………. cm².
A) 79
B) 36
C) 70
D) 72
Answer:
D) 72

Question 39.
The measurements of a cuboid are 12m × 14m × 3.5m then its volume is ……………… cm³.
A) 288
B) 188
C) 588
D) 378
Answer:
C) 588

Question 40.
The measurements of a cuboid are 8500 cm × 950 mm × 15 m then its V = ……….cu.m
A) 1312.51
B) 1211.25
C) 1416.51
D) 1011.51
Answer:
B) 1211.25

Question 41.
One cube is cut in 8 equal cubes of each edge 4 cm then the volume of that small cube is …………….
A) 125 m³
B) 512 m³
C) 160 m³
D) None
Answer:
B) 512 m³

❖ Calculate the volume of the following cuboids.

Question 42.
AP 8th Class Maths Bits Chapter 14 Surface Areas and Volume (Cube-Cuboid) with Answers 3
A) 176 cm³
B) 576 cm³
C) 369 cm³
D) 345 cm³
Answer:
B) 576 cm³

Question 43.
AP 8th Class Maths Bits Chapter 14 Surface Areas and Volume (Cube-Cuboid) with Answers 4
A) 80 m³
B) 90 m³
C) 110 m³
D)120 m³
Answer:
A) 80 m³

Question 44.
AP 8th Class Maths Bits Chapter 14 Surface Areas and Volume (Cube-Cuboid) with Answers 5
A) 700 m³
B) 300 m³
C) 600 m³
D) 200 m³
Answer:
D) 200 m³

Question 45.
Identify cuboidal shape from the following:
A) Brick
B) Book
C) Match box
D) All the above
Answer:
D) All the above

Question 46.
A cube has edge 1.6m then its V = ……………… – m³
A) 3.875
B) 4.96
C) 3.857
D) 4.096
Answer:
D) 4.096

Question 47.
The volume of a cube is 2197 cm³ then its a = ……………… cm.
A) 13
B) 23
C) 85
D) 6
Answer:
A) 13

Question 48.
Diagonal of a cuboid is ………………..
A) l + [latex]\sqrt{2 b}[/latex]
B) [latex]\sqrt{l^{2}+\mathrm{b}^{2}+\mathrm{h}^{2}}[/latex]
C) [latex]\sqrt{l-2 b}[/latex]
D) None
Answer:
B) [latex]\sqrt{l^{2}+\mathrm{b}^{2}+\mathrm{h}^{2}}[/latex]

Question 49.
A cuboid will become a cube if ……………..
A) l < b < h
B) l > 2b = h
C) l = b = h
D) l = b > h
Answer:
C) l = b = h

Question 50.
How many bricks of measurements 25 cm × 11.25 cm × 6 cm are required to built a wall with measurements 8m × 6m × 22.5 cm?
A) 6000
B) 6400
C) 2000
D) 8400
Answer:
B) 6400

AP 8th Class Maths Bits Chapter 13 Visualizing 3-D in 2-D with Answers

September 22, 2021

Practice the AP 8th Class Maths Bits with Answers Chapter 13 Visualizing 3-D in 2-D on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 8th Class Maths Bits 13th Lesson Visualizing 3-D in 2-D with Answers

Choose the correct answer.

Question 1.
Which of the following is a 3 – D figure?
A) Square
B) Rectangle
C) Cone
D) Triangle
Answer:
C) Cone

Question 2.
Which of the following is a 2 -D figure?
A) Cube
B) Cuboid
C) Cylinder
D) Rectangle
Answer:
D) Rectangle

Question 3.
No. of cubes of the given figure
AP 8th Class Maths Bits Chapter 13 Visualizing 3-D in 2-D with Answers 1
A) 16
B) 14
C) 12
D) 10
Answer:
D) 10

Question 4.
No. of faces of a square pyramid ……………
A) 4
B) 5
C) 3
D) 6
Answer:
B) 5

Question 5.
A polyhedron has …………. minimum no. of faces.
A) 1
B) 2
C) 3
D) 4
Answer:
D) 4

Question 6.
No. of edges of a cuboid are
A) 6
B) 10
C) 8
D) 12
Answer:
D) 12

Question 7.
No. of vertices of a cube are
A) 4
B) 8
C) 6
D) 12
Answer:
B) 8

Question 8.
No. of faces of a triangular pyramid are
A) 4
B) 6
C) 8
D) 2
Answer:
A) 4

Question 9.
A hexagonal pyramid has …………… faces.
A) 4
B) 5
C) 6
D) 8
Answer:
C) 6

Question 10.
Which of the following is an Euler’s law ?
A) F + V = E + 2
B) F + V = E – 2
C) F – E = V – 2
D) F + E = V – 2
Answer:
A) F + V = E + 2

Question 11.
The shape of a prism depend upon its ……………..
A) Base
B) Cone
C) Vertex
D) Number
Answer:
A) Base

Question 12.
No. of faces of a pentagonal pyramid are ……………..
A) 6
B) 5
C) 4
D) 9
Answer:
B) 5

Question 13.
The net of a cube is …………….
AP 8th Class Maths Bits Chapter 13 Visualizing 3-D in 2-D with Answers 2
Answer:

Question 14.
The net for a cylinder is ……………
AP 8th Class Maths Bits Chapter 13 Visualizing 3-D in 2-D with Answers 4
Answer:

Question 15.
No. of edges of a figure ……………..
AP 8th Class Maths Bits Chapter 13 Visualizing 3-D in 2-D with Answers 6
A) 6
B) 10
C) 12
D) 9
Answer:
D) 9

Question 16.
The Euler’s relation among no. of faces, vertices and edges is ……………
A) E + V = E
B) F + V = E + 2
C) F – V = E
D) F – V = E – 2
Answer:
B) F + V = E + 2

Question 17.
If the sides of the base of a regular pyramid are increases infinitely then the shape of its base is ……………….
A) Cylinder
B) Cone
C) Prism
D) None
Answer:
B) Cone

Question 18.
Identify cuboid among the following.
AP 8th Class Maths Bits Chapter 13 Visualizing 3-D in 2-D with Answers 7
Answer:

Question 19.
Identify 3-D object from the following.
A) Sphere
B) Circle
C) Paper
D) None
Answer:
A) Sphere

Question 20.
A polygon with 4 sides is called ………………
A) Triangle
B) Quadrilateral
C) Pentagon
D) Sexagon
Answer:
B) Quadrilateral

Question 21.
Number of edges of a cuboid is …………………
A) 11
B) 10
C) 6
D) None
Answer:
D) None

Question 22.
The name of given figure is ………………
AP 8th Class Maths Bits Chapter 13 Visualizing 3-D in 2-D with Answers 9
A) Triangular prism
B) Octagonal prism
C) Pentagonal prism
D) Quadrilateral
Answer:
B) Octagonal prism

Question 23.
The given figure indicates ……………..
AP 8th Class Maths Bits Chapter 13 Visualizing 3-D in 2-D with Answers 10
A) Octagonal prism
B) Cylinder
C) Pentagonal prism
D) Triangular prism
Answer:
A) Octagonal prism

Question 24.
In the figure F = ……………. AP 8th Class Maths Bits Chapter 13 Visualizing 3-D in 2-D with Answers 11
A) 6
B) 3
C) 5
D) 9
Answer:
C) 5

Question 25.
In the figure V = …………. AP 8th Class Maths Bits Chapter 13 Visualizing 3-D in 2-D with Answers 12
A) 5
B) 6
C) 10
D) 4
Answer:
A) 5

Question 26.
An object with more number of faces is ……………..
A) Circle
B) Paper
C) Square
D) Sphere
Answer:
D) Sphere

Question 27.
How many cubes are there in the figure of 1 unit measure?
AP 8th Class Maths Bits Chapter 13 Visualizing 3-D in 2-D with Answers 13
A) 6
B) 4
C) 12
D) 5
Answer:
D) 5

Question 28.
How many cubes are there in the figure of 1 unit measure?
AP 8th Class Maths Bits Chapter 13 Visualizing 3-D in 2-D with Answers 14
A) 9
B) 14
C) 6
D) 2
Answer:
A) 9

Question 29.
How many cubes are there in the figure of 1 unit measure?
AP 8th Class Maths Bits Chapter 13 Visualizing 3-D in 2-D with Answers 15
A) 10
B) 20
C) 14
D) 13
Answer:
B) 20

Question 30.
How many cubes are there in the figure of 1 unit measure ?
AP 8th Class Maths Bits Chapter 13 Visualizing 3-D in 2-D with Answers 16
A) 11
B) 13
C) 14
D) 16
Answer:
C) 14

Question 31.
‘die’ is an example of ……………..
A) Triangle
B) Cube
C) Sphere
D) Pyramid
Answer:
B) Cube

Question 32.
Plasma T.V. is an example of …………….
A) Sphere
B) Rectangle
C) Triangle
D) Cuboid
Answer:
D) Cuboid

Question 33.
Kite is an example of …………. object.
A) Two dimensional
B) 3D
C) Prism
D) Sphere
Answer:
A) Two dimensional

Question 34.
In a cube f + v = …………….
A) 14
B) 16
C) 19
D) 20
Answer:
A) 14

Question 35.
In a Pentagonal Pyramid E + 2 = ………………
A) 6
B) 9
C) 18
D) 12
Answer:
D) 12

Observe the adjacent and answer the following questions:
AP 8th Class Maths Bits Chapter 13 Visualizing 3-D in 2-D with Answers 17

Question 36.
No. of surfaces is …………….
A) 5
B) 6
C) 9
D) 10
Answer:
A) 5

Question 37.
No. of edges is ………….
A) 12
B) 11
C) 9
D) 16
Answer:
C) 9

Question 38.
No. of vertices is ……………
A) 9
B) 6
C) 12
D) 13
Answer:
B) 6

Question 39.
Number of edges of a cylinder is ……………….
A) 11
B) 10
C) 20
D) None
Answer:
D) None

Question 40.
What does in the figure indicate?
AP 8th Class Maths Bits Chapter 13 Visualizing 3-D in 2-D with Answers 19
A) Surface
B) Vertex
C) Eight
D) Plane
Answer:
D) Plane

AP 8th Class Maths Bits Chapter 12 Factorisation with Answers

September 22, 2021

Practice the AP 8th Class Maths Bits with Answers Chapter 12 Factorisation on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 8th Class Maths Bits 12th Lesson Factorisation with Answers

Choose the correct answer.

Question 1.
a² – 2ab + b² = ………………
A) (a – b)²
B) (a + b)²
C) a² – b²
D) (a + b) (a – b)
Answer:
A) (a – b)²

Question 2.
2 × 2 × 2 × 2 × 2 × 3 is a prime factorization of
A) 48
B) 72
C) 96
D) 84
Answer:
C) 96

Question 3.
Common factors of 6xy, 9y²
A) 3, y
B) 6, y²
C) 3, y²
D) 3, x, y
Answer:
A) 3, y

Question 4.
Factorise :15a³b – 35ab³
A) 5(a³b – 7ab³)
B) 5ab (3a² – 7b²)
C) 5a²b (3a² – 7b²)
D) 5ab (3a² – 7b)
Answer:
B) 5ab (3a² – 7b²)

Question 5.
Factorise : ax + ay + bx + by
A) (x + a) (y + b)
B) (x + y) (a + b)
C) (x + b) (y + a)
D) (xy + ab)
Answer:
B) (x + y) (a + b)

Question 6.
Factorisation of x² + 10x + 25
A) (x + 5) (x + 5)
B) (x + 2) (x + 5)
C) (x + 5) (x + 3)
D) (x + 4) (x + 5)
Answer:
A) (x + 5) (x + 5)

Question 7.
25p² – 49q² = ………………
A) (5p + 7q)²
B) (5p – 7q)²
C) (5p + 7q) (7q – 5p)
D) (5p + 7q) (5p – 7q)
Answer:
D) (5p + 7q) (5p – 7q)

Question 8.
(p + 4) (p – 4) (p² + 16) = …………….
A) p⁴ – 256
B) p² – 128
C) p² – 256
D) p⁸ – 256
Answer:
A) p⁴ – 256

Question 9.
x² + x (a + b) + ab = ……………….
A) (x + a) (x – b)
B) (x + a) (x + b)
C) (x – a) (x – b)
D) (x – 3) (x + b)
Answer:
B) (x + a) (x + b)

Question 10.
48a² – 243 b² = ………………
A) 3 (4a + 9b) (4a – 9b)
B) 3 (4a + 9b)
C) 3 (3a + 4b) (4a – 9b)
D) none
Answer:
A) 3 (4a + 9b) (4a – 9b)

Question 11.
Factors of m² – 4m – 21 ………………..
A) (m + 3)²
B) (m + 7) (m – 31)
C) (m – 7)²
D) (m – 7) (m + 3)
Answer:
D) (m – 7) (m + 3)

Question 12.
4x² + 20x – 96 = ……………….
A) (x + 8) (x – 3)
B) 4 (x + 8) (x – 3)
C) (x – 8) (x + 3)
D) (x – 3)²
Answer:
B) 4 (x + 8) (x – 3)

Question 13.
70 x⁴ ÷ 14 x² = ………………….
A) 5x
B) 5x^-3
C) [latex]\frac{\mathrm{x}^{2}}{2}[/latex]
D) 5x²
Answer:
D) 5x²

Question 14.
(6a² + 30) ÷ (a +5) = ………
A) 6a
B) 3a
C) [latex]\frac{a}{3}[/latex]
D) a
Answer:
A) 6a

Question 15.
(6x⁴ + 10x³ + 8x²) ÷ 2x² = …………….
A) 3x² – 5x + 1
B) 3x² + 5x + 4
C) x² – 5x + 11
D) x² + 5x + 1
Answer:
B) 3x² + 5x + 4

Question 16.
30 (a²bc + ab²c + abc²) ÷ 6abc = ………………
A) 5 (a + b + c)
B) 6 (a + b)
C) a + b + c
D) 3 (a – b)
Answer:
A) 5 (a + b + c)

Question 17.
x (3x² – 108) ÷ 3x (x – 6) = ……………..
A) x – 3
B) 6 + x
C) x + 6
D) 6 – x
Answer:
C) x + 6

Question 18.
(m² – 14 m – 32) ÷ (m + 2) = …………….
A) m – 3
B) m + 6
C) m – 6
D) m – 16
Answer:
D) m – 16

Question 19.
16 z² – 48 z + 36 = ……………….
A) 4 (2z – 3)²
B) (2z – 3)²
C) (4z – 3)²
D) None
Answer:
A) 4 (2z – 3)²

Question 20.
3x² + 6x²y + 9xy² = ………………
A) 3x (x – 2y)
B) 3 (2x + 3xy)
C) 3x (x + y)
D) 3x (x + 2xy + 3y²)
Answer:
D) 3x (x + 2xy + 3y²)

Question 21.
25a²b + 35ab² = ………………
A) 5ab (5a+ 7b)
B) 5ab (a – 2b)
C) 5ab (a – b)
D) 5a² b² (a – b)
Answer:
A) 5ab (5a+ 7b)

Question 22.
6ab + 12b = …………..
A) 6 (a + 2)
B) 6b (a + 2)
C) ab – 6
D) b (a – z)
Answer:
B) 6b (a + 2)

Question 23.
The prime factorization of 72 is ………………
A) 2³ × 3²
B) 3² × 2
C) 3 × 9²
D) 8 × 16²
Answer:
A) 2³ × 3²

Question 24.
0 ÷ 36 (x – 4) = ………………
A) 0
B) 6
C) 3
D) 10
Answer:
A) 0

Question 25.
(x + 3) (x + 6) = …………….
A) x² – 3x
B) x² + 9x + 18
C) x – 3x²
D) None
Answer:
B) x² + 9x + 18

Question 26.
11 xy² z³ ÷ 55 xyz = ……………..
A) [latex]\frac{x}{y^{2}}[/latex]
B) [latex]\frac{5 z}{x}[/latex]
C) [latex]\frac{y}{z}[/latex]
D) [latex]\frac{\mathrm{yz}^{2}}{5}[/latex]
Answer:
D) [latex]\frac{\mathrm{yz}^{2}}{5}[/latex]

Question 27.
lx² + mx = ……………….
A) x² (m + x)
B) x (lx + m)
C) x + lm
D) l(x + m)
Answer:
B) x (lx + m)

Question 28.
(l – 8)² = …………
A) l² – 16l + 64
B) l – 8l +8
C) l – 16l² + 0
D) l² – 16
Answer:
A) l² – 16l + 64

Question 29.
81² – 3⁸ = ………….
A) 81
B) 16
C) 0
D) 19
Answer:
C) 0

Question 30.
x² – 2 + [latex]\frac{1}{x^{2}}[/latex] = …………….
A) (x – [latex]\frac{1}{x}[/latex])²
B) ([latex]\frac{1}{x}[/latex] – 3)²
C) (3x – [latex]\frac{1}{x}[/latex])²
D) None
Answer:
A) (x – [latex]\frac{1}{x}[/latex])²

Question 31.
(a + b)³ – 3ab (a + b) = ……………..
A) a³ + b³
B) a³ -b³
C) a – b³
D) 3a-b
Answer:
A) a³ + b³

Question 32.
[latex]\frac{8.47 \times 8.47-1.53 \times 1.53}{6.94}[/latex] = ……………
A) 16
B) 10
C) 30
D) 11
Answer:
B) 10

Question 33.
(3x – 2y)² – (3x -2y)² = …………
A) 2xy²
B) 7y²
C) 9x²
D) 0
Answer:
D) 0

Question 34.
4x + 1 is a factor of …………..
A) x² – 16
B) 16x – 3
C) 10x – 3
D) 16x² – 1
Answer:
D) 16x² – 1

Question 35.
(2a + 1) ([latex]\frac{1}{2 a-1}[/latex] , -[latex]\frac{2}{4 a^{2}-1}[/latex]) = ……………
A) -1
B) – 3
C) 1
D) 2
Answer:
C) 1

Question 36.
x² – 7 = …………….
A) (x + 7) (x – 7)
B)(x + √7)(x – √7)
C) (x – 3) (x + 4)
D) None
Answer:
B)(x + √7)(x – √7)

Question 37.
x + [latex]\frac{1}{x}[/latex] = 6 then x² + [latex]\frac{1}{x^{2}}[/latex] = ………………
A) 19
B) 16
C) 34
D) 10
Answer:
C) 34

Question 38.
In the above problem x⁴ + [latex]\frac{1}{x^{4}}[/latex]= ……………..
A) 1154
B) 1145
C) 1123
D) 1192
Answer:
A) 1154

Question 39.
a⁴ – 81 = …………..
A) (a – 3) (a + 3) (a² + 9)
B) (a – 3)² (a² + 1)
C) (a – 3)⁴ (a + 1)
D) None
Answer:
A) (a – 3) (a + 3) (a² + 9)

Question 40.
7a (5x – 3y) + 5b (5x – 3y) = …………..
A) (5x – 3) (7a – 5)
B) (5x-3y) (7a + 5b)
C) (5x – 3) (4x – 1)
D) (5x – y) (7x – 3)
Answer:
B) (5x-3y)(7a + 5b)

Question 41.
ar + br + at + bt = …………..
A) (r + t) (b – a)
B) (r – t) (r + a)
C) (r + t) (a +b)
D) (r – t) (a – b)
Answer:
C) (r + t) (a +b)

Question 42.
(6 + p + q)(6 – p – q) = ………….
A) 36 – p² – q² – 2pq
B) 36 – 2p + q
C) 36 – 2p -2q
D) 36 – p² – q²
Answer:
A) 36 – p² – q² – 2pq

Question 43.
9x² – 256 = ……………..
A) (3x + 16)²
B) (3x + 16)(3x – 16)
C) (3x – 6)²
D) (x – 16)(3x – 1)
Answer:
B) (3x + 16)(3x – 16)

Question 44.
(3a – b)² – 9c² = ………….
A) (3a + b) (3c – b)
B) (3a – b + 3c) (3a – b – 3c)
C) (3a – b – c)²
D) (3a – b – 3c) (a – b)
Answer:
B) (3a – b + 3c) (3a – b – 3c)

Question 45.
(8 + x) (14 – x) = …………….
A) 121 – (x – 3)²
B) 12 – (x – 3)²
C) 12 – (x – 31)²
D) 11 – (x- 12)²
Answer:
A) 121 – (x – 3)²

Question 46.
x⁴ – y⁴ = …………….
A) (x – y)² – xy
B) (x + y) (x – y²)
C) (x² + y²) (x² – y²)
D) (x + y²) (x² + y)
Answer:
C) (x² + y²) (x² – y²)

Question 47.
(4x + 51y + 1) (4x + 51y – 1) …………….
A) (4x – 5y)²
B) (4x – 5)²
C) (3x – y)²
D) None
Answer:
D) None

Question 48.
[latex]\frac{\mathbf{x}-\mathbf{y}}{\sqrt{\mathbf{x}}-\sqrt{\mathbf{y}}}[/latex] = ……………..
A) √x + √y
B) √x – y
C) x – √y
D) 1 – y
Answer:
A) √x + √y

Question 49.
([latex]\frac{3001}{6}[/latex])² – ([latex]\frac{\mathbf{2 9 9 9}}{6}[/latex])² = ………………
A) 333[latex]\frac {1}{3}[/latex]
B) 343[latex]\frac {1}{2}[/latex]
C) 243[latex]\frac {1}{2}[/latex]
D) 712 [latex]\frac {1}{2}[/latex]
Answer:
A) 333[latex]\frac {1}{3}[/latex]

Question 50.
2⁴ × 3 = …………..
A) 481
B) 48
C) 78
D) 92
Answer:
B) 48

Question 51.
3 + 2 (9) = …………
A) 11
B) 21
C) 16
D) 19
Answer:
B) 21

Question 52.
2⁵ × 3 = ……………
A) 90
B) 31
C) 96
C) 69
Answer:
C) 96

Question 53.
Identify true statement from following:
A) 3 (x – 1) = 7
B) 3 (x – 4) = 3x – 3
C) (x – 1)² = 9
D) x² – 3xy
Answer:
B) 3 (x – 4) = 3x – 3

Question 54.
(x + 8) ² = x² + □ + 64
A) 6x
B) 4x
C) 16x
D) [latex]\frac{x}{4}[/latex]
Answer:
C) 16x

Question 55.
(b + 1) (3a + 2) = …………..
A) 3ab – 2b + 1
B) 3ab – 2
C) 3ab + 2
D) 3ab + 3a + 2b + 2
Answer:
D) 3ab + 3a + 2b + 2

Question 56.
(a² + 5) ÷ a² + 5 = ……………
A) 4
B) 5
C) 1
D) 2
Answer:
C) 1

Question 57.
Common factors of 8x, 24 are
A) 1, 2, x
B) 2, 4, x
C) 2, 4, 8
D) 8, 4, 3
Answer:
C) 2, 4, 8

Question 58.
(m – n) (m + 4) = ……………..
A) m² – n
B) m² – mn + 4m – 4n
C) m + n²
D) m² – 4mn + 1
Answer:
B) m² – mn + 4m – 4n

Question 59.
t (u + at) = …………..
A) ut + at²
B) t + at²
C) t – at²
D) ut – t²
Answer:
A) ut + at²

Question 60.
(49x – 63) ÷ 7 = …………….
A) 7x + 1
B) 7x – 9
C) x + 3
D) x – 79
Answer:
B) 7x – 9

Question 61.
x – y = ………….
A) x√y – 1
B) (√x – √y)(√x + √y)
C) (x – √y)(x – √y)
D) (√x – y)²
Answer:
B) (√x – √y)(√x + √y)

Question 62.
a² – b⁴ = …………..
A) (a – b) (a – b²)
B) (a + b) (a + 1)
C) (a – b) (a² – 1)
D) None
Answer:
D) None

Question 63.
(x + 2) (x² + 5) = ……………..
A) x³ + 2x² + 5x + 10
B) x³ – x² – 5x + 1
C) x³ – 7x² + 3
D) x³ – 3x + 7
Answer:
A) x³ + 2x² + 5x + 10

Question 64.
14x² ÷ 42x² = …………….
A) [latex]\frac{3}{x}[/latex]
B) [latex]\frac{1}{x}[/latex]
C) [latex]\frac{3}{x}[/latex]
D) [latex]\frac{x}{3}[/latex]
Answer:
D) [latex]\frac{x}{3}[/latex]

Question 65.
If we divide x^2a – 1 by x^a – 1 we get ……………..
A) x – 1
B) x^a – 1
C) x + a
D) x^a + 1
Answer:
D) x^a + 1

Question 66.
If x² + [latex]\frac{1}{x^{2}}[/latex] = 62 then x + [latex]\frac{1}{x}[/latex] = ……….. (x + [latex]\frac{1}{x}[/latex] > 0)
A) 3
B) 8
C) 4
D) 6
Answer:
B) 8

Question 67.
x⁴ – 1 ÷ x – 3 = ……………..
A) x³ – 1
B) x + 1
C) (x – 2)²
D) None
Answer:
D) None

Question 68.
18 a² b² c ÷ (- 6 abc) = …………….
A) – 3ab
B) [latex]\frac{-a b}{c}[/latex]
C) abc²
D) ab
Answer:
A) – 3ab

Question 69.
The degree of a polynomial is 6 and the degree of other polynomial is 2 then the degree of the sum of the both polynomials is ……………….
A) 2
B) 4
C) 8
D) 6
Answer:
D) 6

Question 70.
(9x² – 12x – 12) ÷ (3x + 2) = ……………..
A) 3x + 1
B) 3x – 6
C) 6x – 1
D) 6x – 3
Answer:
B) 3x – 6

AP 8th Class Maths Bits Chapter 11 Algebraic Expressions with Answers

September 21, 2021

Practice the AP 8th Class Maths Bits with Answers Chapter 11 Algebraic Expressions on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 8th Class Maths Bits 11th Lesson Algebraic Expressions with Answers

Choose the correct answer.

Question 1.
Which of the following is a monomial?
A) 2x + 3
B) [latex]\frac{-3}{4}[/latex] xy
C) cx² + dx + e
D) [latex]\frac{5}{7}[/latex]x – [latex]\frac{2}{3}[/latex]y
Answer:
B) [latex]\frac{-3}{4}[/latex] xy

Question 2.
The degree of 4xy² z³
A) 4
C) 6
B) 2
D) 3
Answer:
C) 6

Question 3.
The degree of 3x² – 5 + 7x³ – 6x⁵
A) 5
B) 3
C) 2
D) -6
Answer:
A) 5

Question 4.
If A = 5x² + 3xy + 2y², B = – 2y2 – 3xy + 4x² then A + B = ………………..
A) 9x² + 6xy
B) 4y²
C) x² + 4y² + 6xy
D) 9x²
Answer:
D) 9x²

Question 5.
Which of the following is a group of like terms?
A) 2t, [latex]\frac{5 t}{2}, \frac{-6 s}{7}[/latex]
B) x , 2x², – 7x, 8x³
C) 6p, – 7p, [latex]\frac{5}{2}[/latex] p
D) 2y, [latex]\frac{-7}{3}[/latex]x, 5t
Answer:
C) 6p, – 7p, [latex]\frac{5}{2}[/latex] p

Question 6.
5x × (-3y) =
A) – 15xy
B) – 15x²y
C) 15xy
D) 2xy
Answer:
A) – 15xy

Question 7.
The product of 5x, 6y and 7z
A) 210 (x + y + z)
B) 210 xyz
C) 18 xyz
D) 18 (x + y + z)
Answer:
B) 210 xyz

Question 8.
(a + b)² – (a – b)² =
A) 2(a² + b²)
B) a² + b²
C) 4ab
D) 0
Answer:
C) 4ab

Question 9.
The formula involved in the product of 302 × 298
A) (a + b)²
B) (a – b)²
C) (a + b) (a – b)
D) None
Answer:
C) (a + b) (a – b)

Question 10.
(3m – 2n²) × (- 7 mn) …………………
A) – 21 m² n + 14 mn³
B) 21 m² n – 14 m²
C) – 21 mn² + 14 m³ n
D) 21 m² – 4 mn³
Answer:
A) – 21 m² n + 14 mn³

Question 11.
5x (6y + 3) = …………………..
A) 30x + 15
B) 30x – 15y
C) 3x + 15 y
D) 30xy + 15x
Answer:
D) 30xy + 15x

Question 12.
The product of two monomials is a …………………….
A) Binomial
B) Monomial
C) 0
D) 4
Answer:
B) Monomial

Question 13.
(5x + 6y) (3x – 2y) = ……………………
A) 8x² – 8 xy
B) 15x² + 3xy
C) 15x² – xy
D) 15x² + 8xy – 12y²
Answer:
D) 15x² + 8xy – 12y²

Question 14.
No. of terms in the product of a binomial and a trinomial are …………………
A) 10
B) 9
C) 6
D) 7
Answer:
C) 6

Question 15.
(a + b)² = ………………
A) a² + b²
B) a² – b²
C) 7
D) a² + 2ab + b²
Answer:
D) a² + 2ab + b²

Question 16.
The symbol used for an equation identity is ……………….

C) ≡
D) =
Answer:
C) ≡

Question 17.
(a + b) (a – b) = ………………..
A) a² – b
B) b² – a²
C) a² – b²
D) a – b²
Answer:
C) a² – b²

Question 18.
(a – b)² = ……………..
A) a² – 2ab + b
B) a² – ab + b²
C) a² – 2a + b²
D) a² – 2ab + b²
Answer:
D) a² – 2ab + b²

Question 19.
(x + a) (x + b) = …………………
A) x² + (a + b) x + ab
B) x² – (a-b) x – ab
C) x² – ab
D) x + ab
Answer:
A) x² + (a + b) x + ab

Question 20.
If the equation is true for all values of the variables then it is called an ………………..
A) Equation
B) identity
C) Product
D) None
Answer:
B) identity

Question 21.
The formula used in the product of 96 × 104 is ……………….
A) (a + b) (a – b)
B)(a – b)²
C) (a – b)²
D) a² – b
Answer:
A) (a + b) (a – b)

Question 22.
The formula used in the product of 196² is …………………..
A) (a + b)²
B) (a – b)²
C) a² – b
D) a – b²
Answer:
B) (a – b)²

Question 23.
987² – 13² = ………………….
A) 9,74,000
B) 79,400
C) 14,000
D) 14,009
Answer:
A) 9,74,000

Question 24.
(4x + 5y) (4x – 5y) = ……………………..
A) x² – 16y²
B) 16x² – y²
C) 16x – 25
D) 16x² – 25y²
Answer:
D) 16x² – 25y²

Question 25.
(a – b)² – (a-b)² = ……………….
A) 2ab
B) 0
C) ab
D) [latex]\frac{\mathrm{ab}}{2}[/latex]
Answer:
B) 0

Question 26.
a² + b² = ……………………
A) (a + b)² – 2ab
B) a² – b²
G) (a – b)² + 4ab
D) None
Answer:
A) (a + b)² – 2ab

Question 27.
(a – b)² + 4ab = ………………
A) (a – b)³
B) (a – b)²
C) (a + b)²
D) a² – b
Answer:
C) (a + b)²

Question 28.
(a – b)² – (a + b)² = ………………
A) 2a² + b²
B) 0
C) 4ab
D) – 4ab
Answer:
D) – 4ab

Question 29.
Degree of 3x² y² z³ is …………………
A) 2
B) 3
C) 7
D) 3
Answer:
C) 7

Question 30.
The value of 2x³ – 2x² + 1 at x = 1 is ………………
A) 4
B) -1
C) 3
D) 1
Answer:
D) 1

Question 31.
a (a² – b²) = ………………
A) a³ – b² a
B) a – b²
C) a³ – b²
D) a – b³
Answer:
A) a³ – b² a

Question 32.
a (a-b) + b (b-c) + c (c – a) = ………………..
A) 0
B) a² – b²
C) a² + b²
D) a² + b² + c² – ab – bc – ca
Answer:
D) a² + b² + c² – ab – bc – ca

Question 33.
83 × 77 = …………………
A) 3691
B) 6391
C) 6091
D) 1391
Answer:
B) 6391

Question 34.
304² = …………………….
A) 82,416
B) 92,416
C) 82,466
D) 93,416
Answer:
B) 92,416

Question 35.
(m + n) (m – n) = ………………….
A) m – n²
B) m² – n
C) m – n
D) None
Answer:
D) None

Question 36.
9k² + 24 kl + 16 l² = ………………
A) (9 k + 3l)²
B) (3k + 4l) (3k + 4l)
C) (3 k – 4l)²
D) None
Answer:
B) (3k + 4l) (3k + 4l)

Question 37.
abc × a²bc = ………………….
A) a²b²c²
B) abc²
C) a³b²c²
D) ab²c
Answer:
C) a³b²c²

Question 38.
(P + q) (P² – pq + q²) = ………………..
A) p³ + q
B) p – q²
C) p² + q²
D) p³ + q³
Answer:
D) p³ + q³

Question 39.
m³ + m² n – n² m – n³ = ………………..
A) (m² – n²) (m + n)
B) (m – n) (m² + n²)
C) (m + n) (m – 1)
D) None
Answer:
A) (m² – n²) (m + n)

Question 40.
– 5 p² × – 2p = ………………
A) 10p³
B) 10p
C) – 10p³
D) – 8p³
Answer:
A) 10p³

Question 41.
92² – 8² = ………………..
A) 1400
B) 1000
C) 8400
D) 8500
Answer:
C) 8400

Question 42.
I = ………………..
A) [latex]\frac{\text { PTR }}{100}[/latex]
B) [latex]\frac{P}{100 \mathrm{TR}}[/latex]
C) [latex]\frac{100 \mathrm{~T}}{\mathrm{PR}}[/latex]
D) [latex]\frac{100 \mathrm{I}}{\mathrm{PR}}[/latex]
Answer:
A) [latex]\frac{\text { PTR }}{100}[/latex]

Question 43.
106 × 94 = ……………..
A) 9864
B) 9964
C) 9800
D) 9364
Answer:
B) 9964

Question 44.
– 3x² + 3x² – 5x² – x² = …………….
A) x²
B) – 6x²
C) 3x²
D) 6x²
Answer:
B) – 6x²

Question 45.
Identify like terms.
A) 3x², 2x², – x²
B) xy, xy², – 3y²
C) pq, pq², [latex]\frac {1}{2}[/latex]pq
D) 8x², 9y², 2pq
Answer:
A) 3x², 2x², – x²

Question 46.
(a + b)² – (a – b)² = ……………….
A) 2ab
B) 2bc
C) 4a²
D) None
Answer:
D) None

Question 47.
The value of 3x + 5 at x = 1 is …………………..
A) 6
B) 8
C) 9
D) 10
Answer:
B) 8

Question 48.
If a = 1, b = 2 then (a – b)² = ………………..
A) – 1
B) 1
C) – 2
D) 3
Answer:
B) 1

Question 49.
At x = [latex]\frac {1}{2}[/latex] the value of 2x – 1 is ……………….
A) 1
B) 0
C) -1
C) 2
Answer:
B) 0

Question 50.
P = xy, Q = yz, R = zx then PQR = …………………
A) x² y² z²
B) xy² z²
C) xy z
D) [latex]\frac{x^{2} y^{2}}{z^{2}}[/latex]
Answer:
A) x² y² z²

Question 51.
(5x² – 6x + 9) (2x – 3) = ………………
A) 10x³ – 7x² + 3x
B) 10x³ – 7x² + x + 1
C) 10x³ – 27x² + 7
D) 10x³ – 27x² + 36x – 27
Answer:
D) 10x³ – 27x² + 36x – 27

Question 52.
(3x + 5y) (5x – 7y) = ……………………
A) 15x² – 3y²
B) 15x² + 4xy – 35y²
C) 15x² – 4xy
D) 15x – 13xy²
Answer:
B) 15x² + 4xy – 35y²

Question 53.
Additive Inverse of 6x² – 4x – 1 is ……………….
A) x² – 6x + 1
B) – 6x² + 4x – 3
C) x² – 3x + 7
D) – 6x² + 4x + 1
Answer:
D) – 6x² + 4x + 1

Question 54.
2x² + 5x – 1 + 8x + x² + 7 – 6x + 3 – 3x² = ……………
A) 7x + 9
B) x – 7
C) x – 9
D) x + 3
Answer:
A) 7x + 9

Question 55.
2a + b – (a – b) = ………………..
A) a – b
B) 2a – 2b
C) a + 2b
D) a – 2b
Answer:
C) a + 2b

Question 56.
Degree of zero is ………………..
A) 0
B) -1
C) 3
D) not defined
Answer:
D) not defined

Question 57.
Degree of constant is ………………
A) 0
B) 1
C) 2
D) -1
Answer:
A) 0

Question 58.
(3x² – 7x + 1) (4x – 4x) = ………………
A) 4x³ – x² + 11
B) 0
C) 3x³ – 7x + 1
D) None
Answer:
B) 0

Question 59.
(X – 1) (x + 1) = ………………
A) x² + 1
B) x² – 1
C) x – 1
D) x + 3
Answer:
B) x² – 1

Question 60.
Number of terms in a trinomial is ………………..
A) 0
B) 1
C) 2
D) 3
Answer:
D) 3

Question 61.
(√a + √b)(√a – √b) = ………………….
A) a – b²
B) a – b
C) a² – b
D) a + b
Answer:
B) a – b

Question 62.
[latex]\left(\frac{\mathbf{a}}{3}+\frac{\mathbf{b}}{5}\right)\left(\frac{\mathbf{a}}{3}-\frac{\mathbf{b}}{5}\right)[/latex] = ……………….
A) [latex]\frac{a^{2}}{9}+\frac{b}{2}[/latex]
B) [latex]\frac{\mathrm{a}^{2}}{9}[/latex] – 1
C) [latex]\frac{a^{2}}{9}-\frac{b^{2}}{25}[/latex]
D) [latex]\frac{2 a}{3}-\frac{b}{3}[/latex]
Answer:
C) [latex]\frac{a^{2}}{9}-\frac{b^{2}}{25}[/latex]

Question 63.
Number of terms in ax² + bx + c is ……………….
A) 2
B) 3
C) 4
D) 1
Answer:
B) 3

Question 64.
(a – b) (a² + ab + b²) = ……………
A) a³ – b
B) a – b³
C) a² – b²
D) None
Answer:
D) None

Question 65.
(x + 3) (x + 2) =
A) x² + 5x + 6
B) x² – 5x – 6
C) x² – 3x + 6
D) None
Answer:
A) x² + 5x + 6

Question 66.
9x² – y² = ………………
A) (3x + y) (3x – y)
B) (3x – 1) (3x – y)
C) (3x – y)(3x – 3)
D) None
Answer:
A) (3x + y) (3x – y)

Question 67.
[latex]\frac{4 a^{2},-1}{2 a+1}[/latex] = ……………..
A) a – 1
B) a +1
C) 2a
D) 2a – 1
Answer:
D) 2a – 1

Question 68.
(3x² – 7x + 9) ÷ 0
A) 0
B) 3x² – 9
C) 9x
D) Not defined
Answer:
D) Not defined

Question 69.
m³ (m – 2) + 2m² (m + 3) – 6m (m – 4) = ………………..
A) m – 24m²
B) m² + 24m
C) m² + 2m
D) m + 4m²
Answer:
B) m² + 24m

Question 70.
Cube of (a + 1) is = …………………
A) a² + 1
B) a + 2a + 1
C) a + 3a + 3
D) 3a – 3
Answer:
C) a + 3a + 3

Question 71.
(99)² = ……………..
A) 1145
B) 8900
C) 9800
D) 9801
Answer:
D) 9801

Question 72.
9.8 × 10.2 = ……………….
A) 39.55
B) 91.99
C) 99.96
D) 96.99
Answer:
C) 99.96

Question 73.
(84)² – (16)² = …………..
A) 3600
B) 6100
C) 6800
D) 6900
Answer:
C) 6800

Question 74.
1010 × 990 = ………………..
A) 999900
B) 99099
C) 99000
D) 98900
Answer:
A) 999900

Question 75.
(705)² – (295)² = ………………
A) 23000
B) 13000
C) 140000
D) 410000
Answer:
D) 410000

Question 76.
(x + 1) (x – 1) (x² + 1) = ……………..
A) x⁴ – 1
B) x² – 1
C) 4x – 1
D) x + 1
Answer:
A) x⁴ – 1

Question 77.
8x = (52)² – (48)² then x = ………………..
A) 12
B) 50
C) 9
D) 26
Answer:
B) 50

Question 78.
13x = (85)² – (84)² then x = ……………….
A) 16
B) 11
C) 13
D) 10
Answer:
C) 13

Question 79.
(11 + x)(11 – x) = ……………….
A) 121 – x²
B) 121 – x
C) 12 – x³
D) 3x – 4
Answer:
A) 121 – x²

Question 80.
11³ = …………………
A) 1221
B) 1331
C) 1441
D) 1113
Answer:
B) 1331

Question 81.
(x + [latex]\frac{1}{x}[/latex])² = ………………….
A) x + [latex]\frac{1}{2 x}[/latex]
B) x – [latex]\frac{1}{\mathrm{x}^{2}}[/latex]
C) 3x – [latex]\frac{1}{\mathrm{x}^{2}}[/latex]
D) x² + 2 + [latex]\frac{1}{\mathrm{x}^{2}}[/latex]
Answer:
D) x² + 2 + [latex]\frac{1}{\mathrm{x}^{2}}[/latex]

Question 82.
(7xy – 1) (7xy + 1) = ………………….
A) 49x² y² – 1
B) 49xy- 1
C) 49xy² – 1
D) 9xy -1
Answer:
A) 49x² y² – 1

Question 83.
The product of two positive numbers is ………………….
A) 0
B) -1
C) Negative
D) Positive
Answer:
D) Positive

Question 84.
3x²y × 4xy² × 7x³y³ = ……………. …………………
A) 84x⁶y⁶
B) 48y⁶
C) 41xy⁶
D) 40x⁶y⁶
Answer:
A) 84x⁶y⁶

Question 85.
The sum of all exponents of variables in a monomial is called ……………… of the
monomial.
A) Expression
B) Degree
C) Like
D) None
Answer:
B) Degree

Question 86.
Degree of the trinomial 3xy + 4y – 8 is ……………..
A) 2
B) 4
C) 3
D) – 8
Answer:
A) 2

Question 87.
5x × 6y × 7z =
A) 2xy
B) 105xy
C) 120x
D) 210xy
Answer:
D) 210xy

Question 88.
In a cuboid l = 2x, b = 3y, h = 4z then volume, v = ………………….
A) 3xyz
B) 2xy
C) 4xyz
D) 24xyz
Answer:
D) 24xyz

Question 89.
The property used in a(b + c) = ab + ac is ………………..
A) Identity
B) Distributive
C) Commutative
D) None
Answer:
B) Distributive

Question 90.
How many terms are there in the product of a binomial and trinomial ?
A) 4
B) 10
C) 9
D) None
Answer:
D) None

Question 91.
a(a + 1) = 6 then a = ………………..
A) 2
B) – 3
C) A&B
D) None
Answer:
C) A&B

Question 92.
a² + b² + c² + 2ab + 2bc + 2ca = ……………….
A) (a + b + c)²
B) (a – b – c)²
C) (2a – b – c)²
D) (a – b)²
Answer:
A) (a + b + c)²

Question 93.
196² – (194 + 2)² = ………………
A) 16
B) 19
C) 10
D) 0
Answer:
D) 0

Question 94.
9672 = …………………
A) 93 × 004
B) 93 × 102
C) 83 × 104
D) 93 × 107
Answer:
A) 93 × 004

Question 95.
The area of adjacent square is …………………
AP 8th Class Maths Bits Chapter 11 Algebraic Expressions with Answers 2
A) 2a⁴
B) 2a²
C) ([latex]\frac{a}{2}[/latex])²
D) 4a²
Answer:
D) 4a²

Question 96.
a (a – b) + b (a – b) = ………………..
A) a² – b
B) a² – b²
C) a – b²
D) [latex]\frac{a}{2}[/latex] – b
Answer:
B) a² – b²

Question 97.
a² – b² = (a + b) (a – b) is a ……………….
A) Identity
B) Area
C) Place
D) None
Answer:
A) Identity

Question 98.
(x + a) (x – b) = ………………….=
A) x² + ax – bx – ab
B) x² + (a + b) x – ab
C) x² – ax – ab
D) None
Answer:
A) x² + ax – bx – ab

Question 99.
101² – 101² = ……………..
A) 101
B) 202
C) 0
D) 401
Answer:
C) 0

Question 100.
a = 13, b = 12 then a² – b² = ……………….
A) 16
B) 10
C) 25
D) 12
Answer:
C) 25

AP 8th Class Maths Bits Chapter 10 Direct and Inverse Proportions with Answers

September 21, 2021

Practice the AP 8th Class Maths Bits with Answers Chapter 10 Direct and Inverse Proportions on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 8th Class Maths Bits 10th Lesson Direct and Inverse Proportions with Answers

Choose the correct answer.

Question 1.
If x is directly proportional to y then which of the following is correct ?
A) x ∝ [latex]\frac{1}{y}[/latex]
B) xy = [latex]\frac{1}{\mathrm{k}}[/latex]
C) [latex]\frac{x}{y}[/latex] = k
D) x = y
Answer:
C) [latex]\frac{x}{y}[/latex] = k

Question 2.
If x is inversely proportional to y then which of the following is true?
A) xy = k
B) [latex]\frac{x}{y}[/latex] = k
C) [latex]\frac{1}{x}=\frac{1}{y}[/latex]
D) xy = x + y
Answer:
A) xy = k

Question 3.
If the cost of 65 packets of tea is ₹ 2600, then the cost of 75 packets of tea is
A) ₹ 2000
B) ₹ 3000
C) ₹ 2500
D) ₹ 3500
Answer:
B) ₹ 3000

Question 4.
If A pump can take 5 hrs to fill a 50 l of tank then how much time to take to fill a 75 liters of tank for the same pump?
A) 7 hrs
B) 5 [latex]\frac {1}{2}[/latex] hrs
C) 6 [latex]\frac {1}{2}[/latex] hrs
D) 7 [latex]\frac {1}{2}[/latex] hrs
Answer:
D) 7 [latex]\frac {1}{2}[/latex] hrs

Question 5.
The cost of 20 m of cloth is? 1600 then the cost of 24.5 m of cloth is
A) ₹1970
B) ₹1960
C) ₹1860
D) ₹1260
Answer:
B) ₹1960

Question 6.
If 36 men can built a wall in 12 days, then 16 men can built the same wall in …………….. days.
A) 27
B) 18
C) 35
D) 36
Answer:
A) 27

Question 7.
6 pumps take 1 hr 20 minutes to fill a tank. If 5 pumps are opened then they fill the tank in ………………. mins.
A) 106
B) 86
C) 96
D) 92
Answer:
C) 96

Question 8.
111 : 125 = …………….. %
A) 88.8
B) 16.8
C) 81.8
D) 171
Answer:
A) 88.8

Question 9.
The ratio of present ages of P and Q is 3:8 and after 6 years their ages ratio is 4:9 then the age of P at present is …………….. years.
A) 16
B) 19
C) 18
D) 20
Answer:
C) 18

Question 10.
The expenditure of 35 members for 24 days on food is ₹ 6300 then the expenditure of 25 members for 18 days is ……………..
A) ₹ 3375
B) ₹ 3475
C) ₹ 3385
D) ₹ 3365
Answer:
A) ₹ 3375

Question 11.
24 men can do a work in 14 days by working 6 hours a day. If the work is to be completed in 8 days by working 7 hours per day how many men are required?
A) 16
B) 36
C) 27
D) 46
Answer:
B) 36

Question 12.
No.of painters and the length of a wall are in …………….. proportion.
A) Equal
B) Direct
C) Inverse
D) None
Answer:
B) Direct

Question 13.
Number of workers α ………………..
A) [latex]\frac{1}{\text { Number of days }}[/latex]
B) no of days
C) [latex]\frac{7}{\text { Number of days }}[/latex]
D) None
Answer:
A) [latex]\frac{1}{\text { Number of days }}[/latex]

Question 14.
Distance = ………………..
A) [latex]\frac{\text { Time }}{\text { Speed }}[/latex]
B) Time × 2
C) Time × Speed
D) None
Answer:
C) Time × Speed

Question 15.
If x α [latex]\frac{1}{y}[/latex] ⇒ xy = k then k is a …………………
A) Speed
B) Zero
C) 10
D) Constant
Answer:
D) Constant

Question 16.
If x₁ y₁ = x₂ y₂ and x₁ y₁ x₂, y₂ are any 4 observations then they are in ………………. proportion.
A) Equal
B) Inverse proportion
C) Direct proportion
D) None
Answer:
B) Inverse proportion

Question 17.
If a car travels 60 kmph then it reaches the destination in 4 hours. If the car travels at 80 kmph then the time taken by car is ………………. hrs
A) 10
B) 4
C) 6
D) 3
Answer:
D) 3

Question 18.
In a camp there is a food stock for 500 members for 70 days. If 200 more joined in the camp then for how many days the food stock is sufficient ?
A) 50
B) 60
C) 70
D) 90
Answer:
A) 50

Question 19.
If (a+1) workers (In number) will do a work in (a+1) days then in how many days will (a+2) members of workers do the work ?
A) [latex]\frac{a+2}{(a+1)^{2}}[/latex]
B) [latex]\frac{(a+1)^{2}}{a}[/latex]
C) [latex]\frac{a+1}{a+2}[/latex]
D) [latex]\frac{(a+1)^{2}}{a+2}[/latex]
Answer:
D) [latex]\frac{(a+1)^{2}}{a+2}[/latex]

Question 20.
If 15 workers can build a wall in 48 hrs, how many workers will be required to do the same work in 30 hrs?
A) 24
B) 10
C) 19
D) 20
Answer:
A) 24

Question 21.
The cost of 48 bags of rice is ₹ 16,800 then the cost of 36 such bags is ……………….
A) ₹ 10,300
B) ₹ 11,600
C) ₹ 10,600
D) ₹ 12,600
Answer:
D) ₹ 12,600

Question 22.
Area of rectangle = …………….. sq. units.
A) l² + b
B) l + b
C) [latex]\frac{l}{b}[/latex]
D) l b
Answer:
D) l b

Question 23.
Which of the following situation is in direct proportion?
A) Number of students and teachers in a school
B) Number of workers, length of the wall constructed
C) Number of animals, the quantity of food they eat
D) All the above
Answer:
D) All the above

Question 24.
Identify Inverse proportion in the following.
A) Time – speed
B) Time – ability to do the work
C) Distance – speed
D) All the above
Answer:
D) All the above

Question 25.
Inverse ratio of 5 : 6 is ……………….
A) 1 : 5
B) 6 : 5
C) 5 : 6
D) 6 : 1
Answer:
B) 6 : 5

Question 26.
Mean proportion of 1.2 and 4.8 is …………………
A) 2.4
B) 4.2
C) 3.2
D) 4.1
Answer:
A) 2.4

Question 27.
If 2.8, 7, 12 and x are in proportion then x = ………………..
A) 20
B) 31
C) 30
D) 40
Answer:
C) 30

Question 28.
3 minutes : 50 seconds = …………………
A) 18 : 5
B) 8 : 5
C) 1 : 5
D) 2 : 3
Answer:
A) 18 : 5

Question 29.
The cost of 5 litres of petrol is ₹ 110 then the cost of 8 litres is ……………..
A) ₹ 671
B) ₹ 176
C) ₹ 186
D) ₹ 216
Answer:
B) ₹ 176

Question 30.
A car reaches 300 km in 6 horns then how much distance is travelled by the car in 8 hours ?
A) 100 km
B) 200 km
C) 900 km
D) 400 km
Answer:
D) 400 km

Question 31.
The cost of 12 fruits is ₹ 27 then the cost of 18 fruits of same type is …………………
A) ₹ 1
B) ₹ 20
C) ₹ 16
D) None
Answer:
D) None

Question 32.
A tailor will stitch 9 shirts in 4 days then in 16 days how many shirts he will stitch?
A) 30
B) 36
C) 12
D) 19
Answer:
B) 36

Question 33.
A train travels 21/2 hrs at 90 kmph to travel the same distance how much speed is required for the train?
A) 112 1/2 km/hrs
B) 110 km/hrs
C) 141 1/2 km/hrs
D) None
Answer:
A) 112 1/2 km/hrs

Question 34.
In x 24% value is 48, then x = ……………….
A) 100
B) 200
C) 150
D) 110
Answer:
B) 200

Question 35.
The compound ratio of 3 : 4 and 5 : 6 is …………………
A) 4 : 1
B) 1 : 4
C) 5 : 4
D) 15 : 24
Answer:
D) 15 : 24

Question 36.
The cost of 25 kg potatos is ₹ 125 then for ₹ 15 how many kilograms can be purchased?
A) 9
B) 1
C) 3
D) 4
Answer:
C) 3

Question 37.
30 labourers can built a wall in 9 days. If the same wall is to be built by 20 labourers how many days they will take to complete it?
A) 14
B) 13 1/2
C) 16
D) 19 1/2
Answer:
B) 13 1/2

Question 38.
9% = ……………….
A) 0.09
B) 0.9
C) 90%
D) 9
Answer:
A) 0.09

Question 39.
A : B = 5 : 8 and B : C = 18 : 25 then A : C = ………………
A) 2 : 9
B) 9 : 20
C) 1 : 10
D) 16 : 5
Answer:
B) 9 : 20

Question 40.
x : 6 : : 5 : 3 then x = …………………..
A) 9
B) 3
C) 9
D) 10
Answer:
D) 10

Question 41.
The cost of 9 toys is ₹ 333 then the cost of 16 such toys is …………………..
A) ₹ 592
B) ₹ 612
C) ₹ 169
D) ₹ 181
Answer:
A) ₹ 592

Question 42.
48 men can dig a trench in 14 days then how many days will be taken by 28 men to dig the same trench ?
A) 13
B) 16
C) 24
D) 42
Answer:
C) 24

Question 43.
21 cows will take the food which is equal to the amount of food taken by 15 buffalo’s then how many cows will take the food that is taken by 35 buffalo’s?
A) 10
B) 2
C) 3
D) None
Answer:
D) None

Question 44.
To travel a distance of 255 km a car needs 15 litres of petrol. If the car has to travel a distance of 374 kin how many litres of petrol is required?
A) 10
B) 22
C) 16
D) 9
Answer:
B) 22

Question 45.
300 : 40 = ………………
A) 1 : 4
B) 4 : 1
C) 2 : 3
D) None
Answer:
D) None

Question 46.
For a group of 500 members is a food provision for 24 days. If 300 more joined in the group for how many days the food will be sufficient?
A) 15
B) 10
C) 9
D) 4
Answer:
A) 15

Question 47.
A train takes 45 minutes to travel 51 kins. If the same train travels 221 kins, how much time is taken by it?
A) 16 hrs 12 min
B) 3 hrs 15 min
C) 3 hrs 20 min
D) 2 hrs 20 min
Answer:
B) 3 hrs 15 min

Question 48.
Mean proportion of 8 and 18 is……….
A) 10
B) 16
C) 12
D) 9
Answer:
C) 12

Question 49.
The cost of half meter cloth is ₹ 30 then the cost of 2latex]\frac {3}{5}[/latex] m is ……………….
A) ₹ 10
B) ₹ 20
C) ₹ 16
D) None
Answer:
D) None

Question 50.
37.5% = ………………… ?
A) [latex]\frac{1}{2}[/latex]
B) [latex]\frac{9}{8}[/latex]
C) [latex]\frac{3}{8}[/latex]
D) [latex]\frac{8}{3}[/latex]
Answer:
C) [latex]\frac{3}{8}[/latex]