Maths MCQs for NTS & ETEA Test: Quantitative MCQs
These are the common Maths/Quantitative MCQs for preparation for NTS Tests (NAT-IE, NAT-IM, NAT-IA, NAT-ICS, NTS-IGS, NAT-IIA, NAT-IIB, NAT-IIM, NAT-IIP, and NAT-IIO) and ETEA Tests.
A. Arithmetic Operations
1. Evaluate: 48÷6×4+12−8
A. 3
B. 36
C. 38
D. 40
2. A number is increased by 25% and becomes 250. The original number is:
A. 180
B. 190
C. 200
D. 225
3. The average of 8, 12, 15, 20 and x is 17. Find x.
A. 25
B. 28
C. 30
D. 32
4. A shopkeeper bought an item for Rs. 800 and sold it for Rs. 920. Profit is:
A. 10%
B. 12%
C. 15%
D. 18%
5. What comes next? 3, 6, 12, 24, 48, ?
A. 72
B. 84
C. 96
D. 100
6. A man spends 3/5 of his salary. If his salary is Rs. 50,000, how much does he save?
A. 18,000
B. 20,000
C. 22,000
D. 25,000
7. The difference between a number and its one-fourth is 45. The number is:
A. 50
B. 55
C. 60
D. 70
8. A train travels 240 km in 4 hours. Its average speed is:
A. 50 km/h
B. 55 km/h
C. 60 km/h
D. 65 km/h
9. Solve: 5+3×8−12÷4
A. 30
B. 33
C. 36
D. 39
10. A father is three times as old as his son. If the son's age is 12 years, the father's age is:
A. 24
B. 30
C. 36
D. 42
11. The average of 12 numbers is 18. If one number is removed, the average becomes 17. The removed number is:
A. 27
B. 29
C. 30
D. 31
12. A number when divided by 8 leaves remainder 5. What remainder will be left when the same number is divided by 4?
A. 0
B. 1
C. 2
D. 3
13. The sum of three consecutive integers is 96. The largest integer is:
A. 31
B. 32
C. 33
D. 34
14. A worker completes a job in 12 days. How much work does he complete in 3 days?
A. 1/5
B. 1/4
C. 1/3
D. 1/2
15. A number is multiplied by 5 and then 20 is added. The result is 95. The number is:
A. 12
B. 13
C. 14
D. 15
16. If the average of 6 numbers is 25, their total sum is:
A. 125
B. 130
C. 145
D. 150
17. Two numbers are in the ratio 3:5 and their sum is 64. The larger number is:
A. 35
B. 40
C. 45
D. 50
18. A car uses 15 litres of fuel for 180 km. Fuel consumption per km is:
A. 1/10 litre
B. 1/12 litre
C. 1/15 litre
D. 1/18 litre
19. The product of two consecutive integers is 156. The larger integer is:
A. 11
B. 12
C. 13
D. 14
20. If 25 workers can complete a task in 12 days, how many days will 20 workers take (same efficiency)?
A. 14
B. 15
C. 16
D. 18
B. Percentages
21. What is 20% of 450?
A. 80
B. 90
C. 100
D. 110
22. 45 is what percent of 180?
A. 20%
B. 25%
C. 30%
D. 35%
23. Increase 500 by 10%.
A. 525
B. 540
C. 550
D. 560
24. A shirt costing Rs. 2000 is discounted by 15%. New price?
A. 1600
B. 1700
C. 1750
D. 1800
25. 25% of a number is 75. The number is:
A. 250
B. 275
C. 300
D. 325
26. What is 12% of 800?
A. 86
B. 92
C. 96
D. 102
27. A population increases from 4000 to 4600. Percentage increase?
A. 12%
B. 15%
C. 18%
D. 20%
28. 60% of 250 equals:
A. 130
B. 140
C. 150
D. 160
29. A student scored 72 out of 90. Percentage score?
A. 75%
B. 80%
C. 85%
D. 90%
30. Decrease 900 by 20%.
A. 700
B. 720
C. 740
D. 760
31. 35% of 600 equals:
A. 200
B. 210
C. 220
D. 230
32. What percent of 250 is 50?
A. 10%
B. 15%
C. 20%
D. 25%
33. If a price rises from 800 to 1000, percentage increase?
A. 20%
B. 25%
C. 30%
D. 35%
34. 80% of 75 equals:
A. 50
B. 55
C. 60
D. 65
35. A number decreases from 500 to 400. Percentage decrease?
A. 15%
B. 20%
C. 25%
D. 30%
36. 18 is 15% of:
A. 100
B. 110
C. 120
D. 130
37. Find 5% of 840.
A. 40
B. 42
C. 44
D. 46
38. If 40% of a number is 200, the number is:
A. 450
B. 500
C. 550
D. 600
39. A salary of Rs. 40,000 increases by 5%. New salary?
A. 41,000
B. 42,000
C. 43,000
D. 44,000
40. What is 150% of 120?
A. 160
B. 170
C. 180
D. 190
C. Ratio and Proportion
41. Simplify 24:36.
A. 2:3
B. 3:4
C. 4:5
D. 5:6
42. If A:B = 3:5 and A = 18, B = ?
A. 24
B. 30
C. 36
D. 42
43. Divide Rs. 900 in ratio 2:3.
A. 360, 540
B. 300, 600
C. 400, 500
D. 450, 450
44. Find x if 4:7 = x:21.
A. 10
B. 11
C. 12
D. 14
45. Ratio of 45 minutes to 1 hour:
A. 2:3
B. 3:4
C. 4:5
D. 5:6
46. If 8 pens cost Rs. 120, cost of 12 pens?
A. 160
B. 170
C. 180
D. 190
47. Ratio of 15 kg to 3000 g:
A. 4:1
B. 5:1
C. 6:1
D. 7:1
48. If A:B = 4:9 and B = 45, A = ?
A. 15
B. 20
C. 25
D. 30
49. Simplify 28:42.
A. 1:2
B. 2:3
C. 3:4
D. 4:5
50. If 6 workers finish a job in 10 days, workers needed in 5 days?
A. 10
B. 12
C. 14
D. 16
51. Ratio of boys to girls is 5:4. If boys = 40, girls = ?
A. 30
B. 32
C. 34
D. 36
52. Find x: 9:12 = x:20.
A. 12
B. 14
C. 15
D. 16
53. A:B = 7:8, total = 75. A = ?
A. 30
B. 35
C. 40
D. 45
54. Ratio 0.5 : 2 =
A. 1:2
B. 1:3
C. 1:4
D. 1:5
55. If 3 books cost Rs. 180, 5 books cost?
A. 250
B. 275
C. 300
D. 325
56. Simplify 18:24.
A. 2:3
B. 3:4
C. 4:5
D. 5:6
57. Ratio of 2 m to 50 cm:
A. 2:1
B. 3:1
C. 4:1
D. 5:1
58. If A:B = 2:7 and A = 14, B = ?
A. 42
B. 49
C. 56
D. 63
59. A sum is divided in ratio 1:2:3. Largest share of Rs. 600?
A. 200
B. 250
C. 300
D. 350
D. Simple Algebra
60. If x/12 = 5/3, x = ?
A. 18
B. 20
C. 22
D. 24
61. If x + 8 = 20, x = ?
A. 10
B. 12
C. 14
D. 16
62. Solve: 3x = 27
A. 7
B. 8
C. 9
D. 10
63. If 2x + 5 = 17, x = ?
A. 5
B. 6
C. 7
D. 8
64. Solve: x/4 = 6
A. 20
B. 22
C. 24
D. 26
65. If 5x − 10 = 20, x = ?
A. 4
B. 5
C. 6
D. 7
66. Find x: 7x = 56
A. 6
B. 7
C. 8
D. 9
67. If x + 12 = 35, x = ?
A. 21
B. 22
C. 23
D. 24
68. Solve: 2x − 8 = 16
A. 10
B. 11
C. 12
D. 13
69. If 4x = 100, x = ?
A. 20
B. 25
C. 30
D. 35
70. Find x: 3x + 4 = 19
A. 4
B. 5
C. 6
D. 7
71. If y = 3 and x = 4, find x + y.
A. 5
B. 6
C. 7
D. 8
72. Evaluate 2a + 3 when a = 5.
A. 11
B. 12
C. 13
D. 14
73. If x − 9 = 15, x = ?
A. 22
B. 23
C. 24
D. 25
74. Solve: 5x + 10 = 35
A. 4
B. 5
C. 6
D. 7
75. If 3x − 6 = 15, x = ?
A. 5
B. 6
C. 7
D. 8
76. Evaluate x² when x = 7.
A. 47
B. 48
C. 49
D. 50
77. If x + y = 15 and x = 6, y = ?
A. 7
B. 8
C. 9
D. 10
78. Solve: 8x = 72
A. 8
B. 9
C. 10
D. 11
79. If 2x + 3 = 13, x = ?
A. 4
B. 5
C. 6
D. 7
80. Find x: x − 15 = 25
A. 35
B. 38
C. 40
D. 42
E. Geometry (Areas & Volumes)
81. Area of a rectangle of length 12 cm and width 8 cm:
A. 86 cm²
B. 92 cm²
C. 96 cm²
D. 100 cm²
82. Area of a square of side 9 cm:
A. 72 cm²
B. 81 cm²
C. 90 cm²
D. 99 cm²
83. Area of a triangle with base 10 cm and height 8 cm:
A. 30 cm²
B. 35 cm²
C. 40 cm²
D. 45 cm²
84. Circumference of a circle with radius 7 cm (π=22/7):
A. 40 cm
B. 42 cm
C. 44 cm
D. 46 cm
85. Area of a circle with radius 7 cm:
A. 144 cm²
B. 154 cm²
C. 164 cm²
D. 174 cm²
86. Volume of a cube of side 4 cm:
A. 48 cm³
B. 56 cm³
C. 64 cm³
D. 72 cm³
87. Volume of a cuboid 5 × 4 × 3 cm:
A. 50 cm³
B. 55 cm³
C. 60 cm³
D. 65 cm³
88. Perimeter of a rectangle 10 cm by 6 cm:
A. 30 cm
B. 32 cm
C. 34 cm
D. 36 cm
89. Area of a square with perimeter 40 cm:
A. 90 cm²
B. 100 cm²
C. 110 cm²
D. 120 cm²
90. Volume of a cylinder (r=3 cm, h=10 cm, π=3.14):
A. 252.6 cm³
B. 272.6 cm³
C. 282.6 cm³
D. 292.6 cm³
91. Area of rectangle 15 m × 12 m:
A. 160 m²
B. 170 m²
C. 180 m²
D. 190 m²
92. Area of a triangle with base 12 cm and height 5 cm:
A. 25 cm²
B. 30 cm²
C. 35 cm²
D. 40 cm²
93. A cube has side 6 cm. Volume?
A. 196 cm³
B. 206 cm³
C. 216 cm³
D. 226 cm³
94. Diameter of a circle with radius 9 cm:
A. 16 cm
B. 18 cm
C. 20 cm
D. 22 cm
95. Area of square of side 15 cm:
A. 200 cm²
B. 210 cm²
C. 220 cm²
D. 225 cm²
96. Volume of cuboid 8 × 5 × 4 cm:
A. 140 cm³
B. 150 cm³
C. 160 cm³
D. 170 cm³
97. Perimeter of square side 11 cm:
A. 42 cm
B. 44 cm
C. 46 cm
D. 48 cm
98. Area of rectangle 14 cm × 9 cm:
A. 116 cm²
B. 126 cm²
C. 136 cm²
D. 146 cm²
99. Area of a circle radius 14 cm (π=22/7):
A. 516 cm²
B. 566 cm²
C. 616 cm²
D. 666 cm²
100. Volume of cube with side 10 cm:
A. 800 cm³
B. 900 cm³
C. 1000 cm³
D. 1100 cm³