1.         The average of five numbers is 6.9. If one of the numbers is deleted, the average of remaining number is 4.4. What is the value of number deleted?
A. 6.8
B. 7.4
C. 12.5
D. 16.9 ✅
Total of 5 = 5×6.9 = 34.5; total of remaining 4 = 4×4.4 = 17.6; deleted = 34.5 − 17.6 = 16.9.

2.         If a boy must walk 12 miles to school and he has completed 75% of the trip, how many miles does he have left to go?
A. 3 ✅
B. 4
C. 6
D. 8
75% of 12 = 9 miles completed → 12 − 9 = 3 miles remain.

3.         A famous batsman scored a century in 38 overs. If he could keep up the same run rate, how many runs would he score in 47.5 overs?
A. 125 runs ✅
B. 150 runs
C. 175 runs
D. 130 runs
Run rate = 100/38; runs in 47.5 overs = 100×(47.5/38) = 125.

4.         Four years ago the average of son's and father's age was 27.5. Today, the ratio of their age is 5 : 16. Find out the son's present age.
A. 16
B. 15 ✅
C. 14
D. 48
Sum 4 years ago = 2×27.5 = 55 → sum now = 55 + 8 = 63; 5+16 =21 parts → one part = 3 → son = 5×3 = 15.

 

 

1. The average of five numbers is 6.9. If one number is deleted, the new average is 4.4. What is the deleted number?

A. 6.8
B. 7.4
C. 12.5
D. 16.9
Total 5×6.9 minus 4×4.4 = deleted number.

2. A boy walks 12 miles to school; he completed 75%. How many miles are left?

A. 3
B. 4
C. 6
D. 8
75% of 12 is 9 miles, so 3 remain.

3. A batsman scores 100 runs in 38 overs. At same rate, how many in 47.5 overs?

A. 125
B. 150
C. 175
D. 130
Runs = (100/38)×47.5.

4. Four years ago average of father & son was 27.5. Ratio now 5:16. Son’s age?

A. 16
B. 15
C. 14
D. 48
Sum of ages 4 years ago = 55; adjust using ratio.

5. What is 25% of 640?

A. 110
B. 120
C. 160
D. 200
25% = 1/4 of 640.

 

6. If 3x = 27, find x.

A. 6
B. 9
C. 12
D. 3
Divide both sides by 3.

7. A bag has 48 apples. 1/3 are spoiled. How many good apples?

A. 12
B. 32
C. 36
D. 24
Good = 48 − 16.

8. The price increases from 400 to 500. What is % increase?

A. 20%
B. 22%
C. 25%
D. 30%
Increase = 100/400 × 100 = 25%.

9. If 8 workers finish a job in 12 days, how long for 6 workers?

A. 10
B. 12
C. 14
D. 16
Work is inversely proportional.

10. What is the simple interest on Rs. 2000 at 10% in 3 years?

A. 500
B. 550
C. 600
D. 650
SI = PRT/100.

11. If x = 3, find value of 4x².

A. 24
B. 36
C. 48
D. 64
4×9 = 36.

12. A car travels 180 km in 3 hours. What is speed?

A. 40 km/h
B. 50 km/h
C. 60 km/h
D. 70 km/h
Speed = distance/time.

13. A shopkeeper bought an item for 800 and sold for 1040. Profit %?

A. 20%
B. 30%
C. 25%
D. 18%
Profit = 240 → 240/800 × 100 = 30%.

14. If perimeter of square is 48, find side.

A. 8
B. 12
C. 10
D. 14
Side = 48/4.

15. If 2 pencils cost Rs. 18, cost of 10 pencils?

A. 80
B. 90
C. 100
D. 120
Unitary method.

16. What is 15% of 320?

A. 36
B. 42
C. 45
D. 48
320×0.15 = 48.

17. If ratio of boys to girls is 3:5 and total is 80, number of boys?

A. 24
B. 30
C. 36
D. 40
Boys = 3/8 of 80.

18. Simplify: 5³ = ?

A. 15
B. 75
C. 125
D. 25
5×5×5 = 125.

19. Time = 2 hours, speed = 45 km/h. Distance = ?

A. 60
B. 70
C. 80
D. 90
Distance = speed × time.

20. A number is 25% more than 80. What is the number?

A. 85
B. 90
C. 95
D. 100
80 + 20 = 100.

21. If 14% of x = 28, find x.

A. 150
B. 180
C. 200
D. 250
28 ÷ 0.14.

22. The area of rectangle is 60 and width is 5. Length = ?

A. 8
B. 12
C. 15
D. 20
Area = L×W.

23. In a class 40% are girls. If total is 90, find girls.

A. 30
B. 36
C. 40
D. 45
90 × 0.40.

24. If 9 men complete a task in 8 days, how long for 12 men?

A. 4
B. 6
C. 8
D. 12
Inverse proportion.

25. What is ³√27 ?

A. 2
B. 4
C. 3
D. 6
Cube root of 27 is 3.

26. What is the value of 12.5% of 240?

A. 20
B. 25
C. 30
D. 35
12.5% = 1/8, so 240 ÷ 8 = 30.

27. If 7x = 84, find x.

A. 10
B. 12
C. 14
D. 16
Divide 84 by 7.

28. A train travels 300 km in 5 hours. Speed = ?

A. 40 km/h
B. 50 km/h
C. 60 km/h
D. 70 km/h
Speed = distance ÷ time.

 

 

29. The sum of angles in a triangle is:

A. 90°
B. 180°
C. 180°
D. 270°
A basic geometric rule.

30. What is ⅔ of 90?

A. 45
B. 60
C. 30
D. 75
(2/3)×90 = 60.

31. If √x = 11, find x.

A. 99
B. 111
C. 100
D. 121
Square both sides.

32. The average of 8, 12, 16, and 24 = ?

A. 12
B. 15
C. 18
D. 20
Sum ÷ 4 = 60/4 = 15.

33. A shop sells a product for Rs. 850 with Rs. 150 profit. Cost = ?

A. 600
B. 700
C. 750
D. 800
Profit = SP − CP.

34. Find 18% of 200.

A. 26
B. 30
C. 36
D. 42
18/100 × 200.

35. If 5 machines make 100 items in 2 hours, how many will 10 machines make?

A. 150
B. 180
C. 190
D. 200
Machines doubled → output doubled.

36. What is 0.75 × 80?

A. 40
B. 60
C. 55
D. 65
0.75 = 3/4.

37. A man spends 35% of income. If income is 40,000, spending = ?

A. 10,000
B. 12,000
C. 14,000
D. 18,000
40,000×0.35.

38. If x – 7 = 18, find x.

A. 12
B. 25
C. 20
D. 28
Add 7 on both sides.

39. What is the median of 5, 9, 12, 3, 15?

A. 3
B. 9
C. 12
D. 15
Arrange → 3,5,9,12,15.

40. 2/5 of a number is 16. Find the number.

A. 30
B. 35
C. 40
D. 45
16 ÷ (2/5).

41. If 20% of x = 50, find x.

A. 120
B. 250
C. 280
D. 300
50 ÷ 0.20.

 

42. A car travels 350 km using 25 liters. Mileage = ?

A. 10
B. 12
C. 13
D. 14
350/25.

43. Find 40% of 450.

A. 150
B. 160
C. 180
D. 200
40/100 × 450.

44. If perimeter of rectangle is 50 and length is 15, width = ?

A. 8
B. 10
C. 12
D. 14
P = 2(L+W).

45. If 3/4 of x is 24, x = ?

A. 26
B. 28
C. 32
D. 36
24 ÷ (3/4).

46. Evaluate: 9² – 7²

A. 18
B. 24
C. 32
D. 36
81 − 49 = 32.

47. A man saves Rs. 500 every month. How much in 2 years?

A. 10,000
B. 11,000
C. 12,000
D. 15,000
24 × 500.

48. If x = 2, find 3x³.

A. 12
B. 18
C. 24
D. 30
3 × 8 = 24.

49. What is the LCM of 6 and 8?

A. 12
B. 24
C. 18
D. 36
LCM of 6 & 8 = 24.

50. A man buys a watch for 900 and sells at 780. Loss %?

A. 10%
B. 11%
C. 13.33%
D. 15%
Loss = 120 → (120/900)×100.

51. What is 22% of 450?

A. 85
B. 90
C. 99
D. 110
450 × 0.22 = 99.

52. If x + 14 = 39, find x.

A. 18
B. 25
C. 30
D. 35
Subtract 14 from 39.

53. The perimeter of a square is 64. What is the area?

A. 100
B. 144
C. 256
D. 196
Side = 16 → area = 16².

54. A number increased from 40 to 50. Find % increase.

A. 20%
B. 25%
C. 30%
D. 35%
Increase = 10/40 × 100.

55. Simplify: 4⁴ ÷ 4² = ?

A. 4
B. 8
C. 16
D. 32
Subtract exponents: 4² = 16.

56. A man spent 300 out of 800. % spent = ?

A. 35%
B. 36%
C. 37.5%
D. 38%
300/800 × 100.

57. Find HCF of 24 and 32.

A. 4
B. 8
C. 12
D. 16
Common highest factor is 8.

58. If 12 workers make a wall in 10 days, how many days for 6 workers?

A. 15
B. 18
C. 20
D. 20
Half workers → double time.

59. What is 1/6 of 90?

A. 10
B. 12
C. 15
D. 18
90 ÷ 6.

60. If x × 8 = 96, x = ?

A. 10
B. 11
C. 12
D. 13
96 ÷ 8.

61. A shopkeeper sells a book for 640 with 20% profit. Cost = ?

A. 480
B. 520
C. 533.33
D. 540
CP = SP ÷ 1.20.

62. What is the simple interest on Rs. 5000 at 5% for 2 years?

A. 200
B. 500
C. 300
D. 450
SI = PRT/100.

63. 3/8 of a number is 12. What is the number?

A. 26
B. 28
C. 30
D. 32
12 × (8/3).

64. Evaluate: √196

A. 12
B. 13
C. 14
D. 15
14×14 = 196.

65. Convert 0.4 into a percentage.

A. 30%
B. 35%
C. 40%
D. 45%
Multiply by 100.

66. If 15 tickets cost Rs. 600, what is cost of 25 tickets?

A. 850
B. 900
C. 1000
D. 1200
Unitary method.

67. A bag has 120 balls. 30% are red. Number of red balls?

A. 30
B. 32
C. 36
D. 40
120×0.30.

68. Find the value of 9 × 7 – 12.

A. 40
B. 51
C. 54
D. 63
63 – 12 = 51.

69. If a person earns 45000 and spends 60%, how much is saved?

A. 16,000
B. 17,000
C. 18,000
D. 18,000
Spent = 27000 → saved = 18000.

70. The ratio of two numbers is 3:4. If sum is 84, larger number?

A. 30
B. 35
C. 48
D. 54
4/7 × 84.

71. What is 55% of 200?

A. 90
B. 100
C. 110
D. 120
200×0.55.

72. The LCM of 15 and 20 is:

A. 40
B. 50
C. 60
D. 80
LCM(15,20)=60.

73. What is the value of 2.5 × 4.8?

A. 10.4
B. 11.0
C. 12.0
D. 13.2
Multiply directly.

74. A car runs 240 km in 4 hours. Speed?

A. 40 km/h
B. 50 km/h
C. 60 km/h
D. 65 km/h
240÷4.

75. If 30% of x = 45, find x.

A. 120
B. 130
C. 150
D. 160
45 ÷ 0.30.

76. What is 18% of 750?

A. 110
B. 125
C. 135
D. 150
750×0.18.

77. If 4x = 7x – 15, find x.

A. 4
B. 5
C. 5
D. 6
Bring variables together: 3x = 15.

78. The selling price is 900, loss is 100. Cost price?

A. 950
B. 1000
C. 1100
D. 1200
CP = SP + loss.

79. What is 3⁵ ?

A. 125
B. 200
C. 243
D. 312
3×3×3×3×3.

80. 1/4 of a number is 22. The number is:

A. 70
B. 88
C. 90
D. 96
22×4.

81. If √x = 16, find x.

A. 128
B. 192
C. 220
D. 256
Square 16.

82. What is 15% of 960?

A. 120
B. 144
C. 150
D. 160
960×0.15.

83. A train travels 480 km at 80 km/h. Time taken?

A. 4
B. 5
C. 6
D. 8
480÷80.

84. If 8 men complete a work in 15 days, then 12 men will take:

A. 8
B. 9
C. 10
D. 12
Inverse proportion.

85. Find the value of 0.6 × 45.

A. 22
B. 27
C. 28
D. 30
Multiply directly.

86. The sum of ages of A and B is 40. If A is 12, B is:

A. 22
B. 28
C. 32
D. 26
Subtract 12 from 40.

87. If a person earns 50,000 and saves 20%, savings = ?

A. 9,000
B. 10,000
C. 10,000
D. 12,000
50,000×0.20.

88. LCM of 12, 15 and 20 = ?

A. 40
B. 60
C. 180
D. 240
LCM = 60.

89. A man walks 5 km north, then 12 km east. Distance from start?

A. 10
B. 11
C. 13
D. 15
Pythagoras: √(5²+12²)=13.

90. What is 28% of 250?

A. 60
B. 70
C. 75
D. 80
250×0.28.

91. If 3/7 of a number is 21, the number is:

A. 41
B. 49
C. 51
D. 56
21×(7/3).

92. Evaluate 2.4 + 3.75 – 1.15

A. 4.50
B. 4.70
C. 5.00
D. 5.10
Add/subtract decimals.

93. If sum of three consecutive numbers is 48, middle number?

A. 14
B. 16
C. 18
D. 20
48÷3 = 16.

94. A shopkeeper offers 10% discount on Rs. 900. Selling price?

A. 770
B. 810
C. 820
D. 850
900−90.

95. What is 7² + 9²?

A. 128
B. 130
C. 140
D. 150
49 + 81 = 130.

96. A man bought 4 shirts for Rs. 1600. Cost per shirt?

A. 350
B. 400
C. 450
D. 500
1600÷4.

97. If speed = 36 km/h, convert to m/s.

A. 6
B. 10
C. 12
D. 18
Multiply by 1000/3600.

98. Find 5% of 640.

A. 20
B. 32
C. 40
D. 50
640×0.05.

99. If 14x = 196, x = ?

A. 12
B. 13
C. 14
D. 15
196÷14.

100. A car reduces speed from 80 km/h to 60 km/h. % decrease?

A. 15%
B. 20%
C. 25%
D. 30%
Decrease = 20/80 ×100.

 

 

 

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