Arithmetic Problems – 100 MCQs
1. What is 25 + 37?
A) 52
B) 62
C) 72
D) 64
👉 Explanation: 25 + 37 = 62.
2. What is 85 – 47?
A) 28
B) 37
C) 38
D) 42
👉 Explanation: 85 – 47 = 38.
3. If 12 × 6 = ?
A) 60
B) 72
C) 76
D) 78
👉 Explanation: 12 × 6 = 72.
4. If 144 ÷ 12 = ?
A) 10
B) 11
C) 12
D) 14
👉 Explanation: 144 ÷ 12 = 12.
5. The average of 10, 20, 30 is:
A) 15
B) 20
C) 25
D) 30
👉 Explanation: (10 + 20 + 30)/3 = 60/3 = 20.
6. What is 15% of 200?
A) 20
B) 25
C) 30
D) 35
👉 Explanation: 15/100 × 200 = 30.
7. The square root of 121 is:
A) 10
B) 11
C) 12
D) 13
👉 Explanation: √121 = 11.
8. If a dozen eggs cost 240, price of 1 egg is:
A) 15
B) 20
C) 25
D) 30
👉 Explanation: 240 ÷ 12 = 20.
9. What is 9² + 16²?
A) 345
B) 325
C) 337
D) 355
👉 Explanation: 9² = 81, 16² = 256 → 81 + 256 = 337.
10. If a car runs 60 km in 1 hour, in 4 hours it runs:
A) 200 km
B) 240 km
C) 260 km
D) 300 km
👉 Explanation: 60 × 4 = 240 km.
11. What is 18 × 5?
A) 80
B) 90
C) 85
D) 95
👉 Explanation: 18 × 5 = 90.
12. If 350 – 178 = ?
A) 162
B) 172
C) 182
D) 192
👉 Explanation: 350 – 178 = 172.
13. The value of 45 ÷ 9 is:
A) 4
B) 5
C) 6
D) 7
👉 Explanation: 45 ÷ 9 = 5.
14. If 13² = ?
A) 156
B) 159
C) 169
D) 173
👉 Explanation: 13 × 13 = 169.
15. What is 10% of 450?
A) 35
B) 45
C) 55
D) 65
👉 Explanation: 10/100 × 450 = 45.
16. The cube of 3 is:
A) 6
B) 27
C) 12
D) 18
👉 Explanation: 3³ = 27.
17. If 25 × 8 = ?
A) 180
B) 200
C) 220
D) 240
👉 Explanation: 25 × 8 = 200.
18. The HCF of 18 and 24 is:
A) 2
B) 6
C) 8
D) 12
👉 Explanation: Common factors are 1, 2, 3, 6 → highest is 6.
19. The LCM of 12 and 15 is:
A) 45
B) 60
C) 75
D) 90
👉 Explanation: Multiples of 12 (12, 24, 36, 48, 60), of 15 (15, 30, 45, 60) → LCM = 60.
20. If 40% of x = 80, then x = ?
A) 150
B) 200
C) 250
D) 300
👉 Explanation: 40/100 × x = 80 → x = 200.
21. What is 72 ÷ 8?
A) 7
B) 9
C) 8
D) 6
👉 Explanation: 72 ÷ 8 = 9.
22. If 2/5 of a number = 40, number = ?
A) 50
B) 80
C) 100
D) 120
👉 Explanation: (2/5) × x = 40 → x = 100.
23. The average of 12, 18, 24, 30 = ?
A) 18
B) 20
C) 21
D) 22
👉 Explanation: (12+18+24+30)/4 = 84/4 = 21.
24. If 5² + 7² = ?
A) 72
B) 73
C) 74
D) 75
👉 Explanation: 25 + 49 = 74.
25. The sum of first 10 natural numbers = ?
A) 50
B) 55
C) 60
D) 65
👉 Explanation: Formula = n(n+1)/2 = 10×11/2 = 55.
26. If 18% of 200 = ?
A) 34
B) 35
C) 36
D) 38
👉 Explanation: 18/100 × 200 = 36.
27. Square of 25 = ?
A) 525
B) 600
C) 625
D) 650
👉 Explanation: 25 × 25 = 625.
28. ¾ of 64 = ?
A) 42
B) 44
C) 48
D) 52
👉 Explanation: (3/4) × 64 = 48.
29. If 2x = 14, then x = ?
A) 5
B) 7
C) 8
D) 10
👉 Explanation: 2x = 14 → x = 7.
30. The perimeter of a square of side 6 cm = ?
A) 20 cm
B) 22 cm
C) 24 cm
D) 26 cm
👉 Explanation: Perimeter = 4 × side = 24.
31. What is 100 ÷ 4?
A) 20
B) 25
C) 30
D) 35
👉 Explanation: 100 ÷ 4 = 25.
32. If 2³ = ?
A) 6
B) 8
C) 9
D) 12
👉 Explanation: 2 × 2 × 2 = 8.
33. The product of 11 × 11 = ?
A) 111
B) 121
C) 131
D) 141
👉 Explanation: 11² = 121.
34. If ¼ of a number is 12, number = ?
A) 36
B) 48
C) 52
D) 56
👉 Explanation: (1/4) × x = 12 → x = 48.
35. What is 7 × 14?
A) 88
B) 94
C) 98
D) 104
👉 Explanation: 7 × 14 = 98.
36. The square root of 196 = ?
A) 12
B) 13
C) 14
D) 15
👉 Explanation: √196 = 14.
37. If 500 ÷ 25 = ?
A) 15
B) 20
C) 25
D) 30
👉 Explanation: 500 ÷ 25 = 20.
38. The sum of angles in a triangle = ?
A) 90°
B) 180°
C) 270°
D) 360°
👉 Explanation: Interior sum = 180°.
39. If 3/8 of a number = 24, number = ?
A) 48
B) 56
C) 64
D) 72
👉 Explanation: (3/8)x = 24 → x = 64.
40. What is 19 × 19?
A) 341
B) 351
C) 361
D) 371
👉 Explanation: 19² = 361.
41. If 60% of x = 120, then x = ?
A) 180
B) 200
C) 220
D) 240
👉 Explanation: (60/100) × x = 120 → x = 200.
42. If a train moves 90 km in 2 hours, speed = ?
A) 40 km/h
B) 45 km/h
C) 50 km/h
D) 60 km/h
👉 Explanation: 90 ÷ 2 = 45 km/h.
43. If 15 × 12 = ?
A) 160
B) 170
C) 180
D) 190
👉 Explanation: 15 × 12 = 180.
44. Square root of 400 = ?
A) 18
B) 20
C) 22
D) 24
👉 Explanation: √400 = 20.
45. If 30% of 300 = ?
A) 80
B) 85
C) 90
D) 95
👉 Explanation: 30/100 × 300 = 90.
46. 2⁵ = ?
A) 16
B) 24
C) 32
D) 36
👉 Explanation: 2×2×2×2×2 = 32.
47. The area of a rectangle of 12 × 5 = ?
A) 50
B) 60
C) 65
D) 70
👉 Explanation: Area = l × b = 12 × 5 = 60.
48. The perimeter of a rectangle 10 × 6 = ?
A) 28
B) 32
C) 36
D) 40
👉 Explanation: Perimeter = 2(l+b) = 2(10+6) = 32.
49. What is 81 ÷ 9?
A) 8
B) 9
C) 10
D) 12
👉 Explanation: 81 ÷ 9 = 9.
50. If ¾ of 100 = ?
A) 70
B) 75
C) 80
D) 85
👉 Explanation: (3/4) × 100 = 75.
51. 7 × 13 = ?
A) 81
B) 91
C) 101
D) 111
👉 Explanation: 7 × 13 = 91.
52. 600 ÷ 25 = ?
A) 20
B) 24
C) 26
D) 28
👉 Explanation: 600 ÷ 25 = 24.
53. 2³ × 3² = ?
A) 24
B) 72
C) 36
D) 54
👉 Explanation: 2³ = 8, 3² = 9 → 8 × 9 = 72.
54. The LCM of 6 and 8 is:
A) 12
B) 18
C) 24
D) 36
👉 Explanation: LCM of 6 and 8 = 24.
55. The HCF of 18 and 24 is:
A) 2
B) 6
C) 8
D) 12
👉 Explanation: HCF(18, 24) = 6.
56. 11² – 7² = ?
A) 28
B) 36
C) 72
D) 48
👉 Explanation: 121 – 49 = 72.
57. (50% of 400) = ?
A) 100
B) 150
C) 200
D) 250
👉 Explanation: 50/100 × 400 = 200.
58. 0.75 × 160 = ?
A) 100
B) 120
C) 140
D) 150
👉 Explanation: ¾ × 160 = 120.
59. 8 + 27 = ?
A) 33
B) 35
C) 37
D) 39
👉 Explanation: 8 + 27 = 35.
60. 10! ÷ 9! = ?
A) 8
B) 9
C) 10
D) 11
👉 Explanation: 10! ÷ 9! = 10.
61. The simple interest on 5000 at 5% for 2 years is:
A) 400
B) 500
C) 550
D) 600
👉 Explanation: (P×R×T)/100 = (5000×5×2)/100 = 500.
62. The perimeter of a square of side 9 cm is:
A) 18 cm
B) 36 cm
C) 45 cm
D) 81 cm
👉 Explanation: 4 × 9 = 36 cm.
63. The area of a rectangle 12 × 8 cm is:
A) 80 cm²
B) 96 cm²
C) 88 cm²
D) 120 cm²
👉 Explanation: 12 × 8 = 96 cm².
64. 1 km = ? m
A) 10
B) 100
C) 1000
D) 10000
👉 Explanation: 1 km = 1000 m.
65. The cube root of 27 is:
A) 2
B) 3
C) 4
D) 5
👉 Explanation: ³√27 = 3.
66. 15² – 12² = ?
A) 81
B) 81
C) 121
D) 225
👉 Explanation: 225 – 144 = 81.
67. If x = 5, then 2x² = ?
A) 25
B) 40
C) 50
D) 75
👉 Explanation: 2×25 = 50.
68. If 9 pens cost 270, then price of 1 pen is:
A) 20
B) 30
C) 25
D) 35
👉 Explanation: 270 ÷ 9 = 30.
69. The ratio of 2:3 expressed as fraction is:
A) ⅓
B) ⅔
C) 2/3
D) 3/2
👉 Explanation: 2:3 = 2/3.
70. 3/4 of 80 = ?
A) 50
B) 60
C) 65
D) 70
👉 Explanation: (¾)×80 = 60.
71. 180° is equal to:
A) Half circle
B) Straight angle
C) Right angle
D) Reflex angle
👉 Explanation: 180° is a straight angle.
72. The mean of 2, 4, 6, 8, 10 is:
A) 5
B) 6
C) 7
D) 8
👉 Explanation: (2+4+6+8+10)/5 = 30/5 = 6.
73. (5³ – 3³) = ?
A) 98
B) 98
C) 100
D) 120
👉 Explanation: 125 – 27 = 98.
74. 20 × 1.5 = ?
A) 25
B) 30
C) 35
D) 40
👉 Explanation: 20×1.5 = 30.
75. (7² + 24²) = ?
A) 575
B) 625
C) 650
D) 675
👉 Explanation: 49 + 576 = 625.
76. The probability of getting head on tossing coin = ?
A) ¼
B) ⅓
C) ½
D) 1
👉 Explanation: 2 outcomes → 1 head → ½.
77. If 5 workers make 100 items, then 1 worker makes:
A) 15
B) 18
C) 20
D) 25
👉 Explanation: 100 ÷ 5 = 20.
78. The perimeter of triangle with sides 3, 4, 5 = ?
A) 10
B) 11
C) 12
D) 13
👉 Explanation: 3+4+5 = 12.
79. The square root of 196 is:
A) 12
B) 14
C) 16
D) 18
👉 Explanation: √196 = 14.
80. (2/5) of 100 = ?
A) 30
B) 40
C) 50
D) 60
👉 Explanation: 2/5 × 100 = 40.
81. 25% of 640 = ?
A) 120
B) 160
C) 200
D) 180
👉 Explanation: ¼ × 640 = 160.
82. The average of 4, 8, 12, 16 is:
A) 8
B) 10
C) 12
D) 14
👉 Explanation: (4+8+12+16)/4 = 40/4 = 10.
83. 2⁵ = ?
A) 16
B) 32
C) 64
D) 128
👉 Explanation: 2×2×2×2×2 = 32.
84. 1000 ÷ 40 = ?
A) 20
B) 25
C) 30
D) 35
👉 Explanation: 1000/40 = 25.
85. 18% of 200 = ?
A) 28
B) 34
C) 36
D) 40
👉 Explanation: 18/100 × 200 = 36.
86. The perimeter of rectangle 10×5 is:
A) 25
B) 30
C) 40
D) 50
👉 Explanation: 2(10+5) = 30.
87. The area of circle with r=7 is:
A) 100
B) 154
C) 175
D) 200
👉 Explanation: πr² = 22/7 × 7 × 7 = 154.
88. 8! ÷ 7! = ?
A) 6
B) 8
C) 7
D) 9
👉 Explanation: 8! ÷ 7! = 8.
89. If 20% of x = 40, then x = ?
A) 100
B) 200
C) 250
D) 300
👉 Explanation: 0.2x=40 → x=200.
90. 2.5 × 12 = ?
A) 25
B) 30
C) 32
D) 36
👉 Explanation: 2.5×12=30.
91. The mode of 2,2,3,4,5,5,5,6 is:
A) 2
B) 5
C) 6
D) 3
👉 Explanation: 5 occurs most = mode.
92. Median of 7, 9, 11, 13, 15 is:
A) 9
B) 11
C) 13
D) 12
👉 Explanation: Middle value = 11.
93. 200 ÷ 0.5 = ?
A) 50
B) 100
C) 400
D) 200
👉 Explanation: Dividing by 0.5 doubles = 400.
94. (15² + 8²) = ?
A) 250
B) 265
C) 289
D) 300
👉 Explanation: 225 + 64 = 289.
95. The complement of 70° = ?
A) 10°
B) 15°
C) 20°
D) 25°
👉 Explanation: 90–70 = 20°.
96. The supplement of 110° = ?
A) 60°
B) 70°
C) 70°
D) 80°
👉 Explanation: 180–110 = 70°.
97. ³√64 = ?
A) 2
B) 3
C) 4
D) 5
👉 Explanation: 4³=64 → root=4.
98. 4² × 5² = ?
A) 80
B) 120
C) 400
D) 500
👉 Explanation: 16 × 25 = 400.
99. 0.2 × 0.5 = ?
A) 0.05
B) 0.1
C) 0.2
D) 0.25
👉 Explanation: 0.2 × 0.5 = 0.1.
100. If 3 men complete work in 12 days, then 6 men complete in:
A) 10 days
B) 6 days
C) 8 days
D) 4 days
👉 Explanation: Double workers → half days = 6.
