Aptitude Questions with Answers and Solutions for Placements
Placement aptitude questions with the shortcut method explained for each one. Try them before you check the answer.
Q1. What is 15% of 640?
- A. 106
- B. 92
- C. 96
- D. 84
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Answer: C. 96
640 × 15 / 100 = 96.Q2. A number increased by 20% becomes 360. What is the number?
- A. 300
- B. 320
- C. 340
- D. 288
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Answer: A. 300
1.2 × n = 360, so n = 300.Q3. A price rises from ₹400 to ₹500. What is the percentage increase?
- A. 25%
- B. 100%
- C. 30%
- D. 20%
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Answer: A. 25%
Increase 100 on 400 = 25%.Q4. A price falls from ₹500 to ₹400. What is the percentage decrease?
- A. 20%
- B. 10%
- C. 15%
- D. 25%
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Answer: A. 20%
Decrease 100 on 500 = 20%.Q5. If 40% of a number is 72, what is 75% of the number?
- A. 108
- B. 135
- C. 150
- D. 120
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Answer: B. 135
Number = 72 / 0.4 = 180; 75% of 180 = 135.Q6. In an exam, 65% of 1,200 students passed. How many failed?
- A. 420
- B. 780
- C. 380
- D. 460
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Answer: A. 420
35% of 1,200 = 420.Q7. A salary is increased by 10% and then decreased by 10%. What is the net change?
- A. 1% increase
- B. No change
- C. 1% decrease
- D. 2% decrease
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Answer: C. 1% decrease
1.1 × 0.9 = 0.99, a 1% decrease.Q8. A town's population of 50,000 grows by 10% every year. What is it after 2 years?
- A. 60000
- B. 55000
- C. 61000
- D. 60500
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Answer: D. 60500
50,000 × 1.1 × 1.1 = 60,500.Q9. What percentage of 80 is 36?
- A. 40%
- B. 45%
- C. 36%
- D. 44%
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Answer: B. 45%
36 / 80 × 100 = 45%.Q10. If A's income is 25% more than B's, B's income is how much less than A's?
- A. 20%
- B. 30%
- C. 15%
- D. 25%
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Answer: A. 20%
B/A = 1/1.25 = 0.8, i.e. 20% less.Q11. In an election between two candidates, the winner got 58% of 7,500 valid votes. By how many votes did the winner win?
- A. 1200
- B. 1500
- C. 900
- D. 1050
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Answer: A. 1200
Margin = 16% of 7,500 = 1,200.Q12. A student scored 432 out of 600. What is the percentage?
- A. 72%
- B. 70%
- C. 68%
- D. 74%
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Answer: A. 72%
432 / 600 × 100 = 72%.Q13. An item bought for ₹800 is sold for ₹1,000. What is the profit percentage?
- A. 30%
- B. 20%
- C. 25%
- D. 15%
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Answer: C. 25%
Profit 200 on cost 800 = 25%.Q14. An item bought for ₹1,250 is sold at a 12% loss. What is the selling price?
- A. 1088
- B. 1150
- C. 1112
- D. 1100
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Answer: D. 1100
1,250 × 0.88 = 1,100.Q15. Selling an item for ₹693 gives a 10% loss. What is the cost price?
- A. 780
- B. 750
- C. 760
- D. 770
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Answer: D. 770
SP = 0.9 × CP, so CP = 693 / 0.9 = 770.Q16. A shopkeeper marks an item at ₹2,000 and gives a 15% discount. What is the selling price?
- A. 1750
- B. 1800
- C. 1700
- D. 1650
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Answer: C. 1700
2,000 × 0.85 = 1,700.Q17. Two successive discounts of 20% and 10% equal a single discount of:
- A. 30%
- B. 28%
- C. 25%
- D. 32%
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Answer: B. 28%
0.8 × 0.9 = 0.72, so 28% off.Q18. A trader buys at ₹40 per kg and sells at ₹50 per kg. What is the profit on 30 kg?
- A. 300
- B. 350
- C. 400
- D. 250
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Answer: A. 300
Profit ₹10 per kg × 30 kg.Q19. The cost price of 12 pens equals the selling price of 10 pens. What is the profit percentage?
- A. 20%
- B. 25%
- C. 10%
- D. 16%
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Answer: A. 20%
Selling 10 recovers the cost of 12: profit 2 on 10 = 20%.Q20. An item is marked 40% above cost and sold at a 25% discount. What is the profit percentage?
- A. 0%
- B. 10%
- C. 5%
- D. 15%
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Answer: C. 5%
1.4 × 0.75 = 1.05, a 5% profit.Q21. A man sells two phones for ₹9,900 each, gaining 10% on one and losing 10% on the other. What is his overall result?
- A. Loss of 2%
- B. Profit of 1%
- C. No profit or loss
- D. Loss of 1%
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Answer: D. Loss of 1%
Equal selling prices with equal % gain and loss always give a loss of (10²/100)% = 1%.Q22. A dishonest dealer sells at cost price but uses a 900 g weight for 1 kg. What is his profit percentage?
- A. 9.09%
- B. 11.11%
- C. 10%
- D. 12%
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Answer: B. 11.11%
He gains 100 g on 900 g = 11.11%.Q23. Simple interest on ₹5,000 at 8% per year for 3 years is:
- A. 1500
- B. 1000
- C. 1200
- D. 1260
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Answer: C. 1200
5,000 × 8 × 3 / 100 = 1,200.Q24. At what rate of simple interest will ₹2,000 earn ₹480 in 4 years?
- A. 4%
- B. 8%
- C. 5%
- D. 6%
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Answer: D. 6%
R = 480 × 100 / (2,000 × 4) = 6%.Q25. In how many years will a sum double at 10% simple interest?
- A. 10
- B. 12
- C. 8
- D. 5
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Answer: A. 10
Interest must equal the principal: 100 / 10 = 10 years.Q26. Compound interest on ₹10,000 at 10% per year for 2 years is:
- A. 2200
- B. 2100
- C. 1100
- D. 2000
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Answer: B. 2100
10,000 × 1.21 − 10,000 = 2,100.Q27. What is the difference between compound and simple interest on ₹8,000 at 5% for 2 years?
- A. 25
- B. 40
- C. 20
- D. 10
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Answer: C. 20
Difference = P × (R/100)² = 8,000 × 0.0025 = 20.Q28. A sum becomes ₹13,310 in 3 years at 10% compound interest. What was the sum?
- A. 11000
- B. 9000
- C. 10000
- D. 10500
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Answer: C. 10000
13,310 / 1.331 = 10,000.Q29. Simple interest for 3 years at 5% is ₹600. What is the principal?
- A. 3600
- B. 5000
- C. 3000
- D. 4000
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Answer: D. 4000
P = 600 × 100 / 15 = 4,000.Q30. ₹6,000 is lent at 12% simple interest. What is the amount after 2.5 years?
- A. 8000
- B. 7440
- C. 7800
- D. 7200
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Answer: C. 7800
Interest 6,000 × 12 × 2.5 / 100 = 1,800.Q31. Divide ₹1,800 between A and B in the ratio 4 : 5. What does B get?
- A. 900
- B. 1100
- C. 1000
- D. 800
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Answer: C. 1000
B = 1,800 × 5 / 9.Q32. If a : b = 2 : 3 and b : c = 4 : 5, what is a : c?
- A. 8 : 15
- B. 8 : 12
- C. 2 : 5
- D. 6 : 5
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Answer: A. 8 : 15
a : b : c = 8 : 12 : 15.Q33. What is the fourth proportional to 4, 9 and 12?
- A. 27
- B. 24
- C. 36
- D. 18
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Answer: A. 27
4 : 9 = 12 : x, so x = 9 × 12 / 4.Q34. What is the mean proportional between 9 and 16?
- A. 144
- B. 12
- C. 12.5
- D. 25
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Answer: B. 12
√(9 × 16) = 12.Q35. A and B invest ₹30,000 and ₹45,000 for a year. Out of a profit of ₹15,000, what is A's share?
- A. 5000
- B. 6000
- C. 7500
- D. 9000
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Answer: B. 6000
Ratio 2 : 3, so A gets 2/5.Q36. A invests ₹20,000 for 12 months and B invests ₹30,000 for 6 months. In what ratio should they share profit?
- A. 1 : 1
- B. 2 : 3
- C. 3 : 4
- D. 4 : 3
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Answer: D. 4 : 3
20,000 × 12 : 30,000 × 6 = 240 : 180 = 4 : 3.Q37. The ratio of boys to girls in a class is 7 : 5. If there are 60 students, how many are girls?
- A. 25
- B. 35
- C. 30
- D. 20
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Answer: A. 25
60 × 5 / 12 = 25.Q38. Two numbers are in the ratio 3 : 5 and their sum is 96. What is the larger number?
- A. 64
- B. 60
- C. 36
- D. 56
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Answer: B. 60
96 × 5 / 8 = 60.Q39. The ratio of two numbers is 3 : 4 and their HCF is 7. What is their LCM?
- A. 168
- B. 84
- C. 28
- D. 21
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Answer: B. 84
The numbers are 21 and 28; LCM = 84.Q40. What is the average of the first 10 natural numbers?
- A. 6
- B. 10
- C. 5.5
- D. 5
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Answer: C. 5.5
Sum 55 / 10.Q41. The average of 5 numbers is 24. If one number is removed, the average becomes 22. Which number was removed?
- A. 24
- B. 30
- C. 28
- D. 32
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Answer: D. 32
120 − 88 = 32.Q42. The average age of 30 students is 15. If the teacher's age is included, the average becomes 16. What is the teacher's age?
- A. 45
- B. 31
- C. 40
- D. 46
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Answer: D. 46
31 × 16 − 30 × 15 = 46.Q43. A batsman scores 80 in his 11th innings, raising his average by 2. What is his new average?
- A. 80
- B. 60
- C. 58
- D. 62
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Answer: B. 60
Old average x: 10x + 80 = 11(x + 2), so x = 58 and the new average is 60.Q44. The average of three consecutive even numbers is 28. What is the largest?
- A. 32
- B. 30
- C. 26
- D. 28
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Answer: B. 30
They are 26, 28, 30.Q45. A father is 3 times as old as his son. In 12 years he will be twice as old. How old is the son now?
- A. 15
- B. 14
- C. 12
- D. 10
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Answer: C. 12
3s + 12 = 2(s + 12), so s = 12.Q46. The sum of the ages of A and B is 55. Five years ago, A was twice as old as B. How old is A now?
- A. 35
- B. 25
- C. 40
- D. 30
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Answer: A. 35
(A − 5) = 2(B − 5) and A + B = 55 give B = 20 and A = 35.Q47. The ratio of the ages of a mother and daughter is 9 : 2. In 4 years it will be 10 : 3. What is the mother's age now?
- A. 54
- B. 27
- C. 36
- D. 45
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Answer: C. 36
3(9x + 4) = 10(2x + 4) gives x = 4, so the mother is 36.Q48. The average weight of 8 people increases by 2.5 kg when a person of 65 kg is replaced by a new person. What is the new person's weight?
- A. 80
- B. 75
- C. 90
- D. 85
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Answer: D. 85
Increase in total = 8 × 2.5 = 20, so 65 + 20.Q49. A can finish a job in 10 days and B in 15 days. Together they finish it in:
- A. 6 days
- B. 5 days
- C. 8 days
- D. 12.5 days
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Answer: A. 6 days
1/10 + 1/15 = 1/6.Q50. A and B together finish a job in 12 days; A alone in 20 days. How long would B alone take?
- A. 30 days
- B. 8 days
- C. 24 days
- D. 32 days
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Answer: A. 30 days
1/12 − 1/20 = 1/30.Q51. 12 workers build a wall in 10 days. How many days would 15 workers take?
- A. 8
- B. 7
- C. 12
- D. 9
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Answer: A. 8
Work = 120 worker-days; 120 / 15 = 8.Q52. A does a job in 18 days. B is 50% more efficient than A. How long does B take?
- A. 12 days
- B. 15 days
- C. 27 days
- D. 9 days
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Answer: A. 12 days
B takes 18 / 1.5 = 12 days.Q53. A pipe fills a tank in 6 hours and another empties it in 9 hours. With both open, the tank fills in:
- A. 12 hours
- B. 18 hours
- C. 3 hours
- D. 15 hours
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Answer: B. 18 hours
1/6 − 1/9 = 1/18.Q54. Two pipes fill a tank in 20 and 30 minutes. Together they fill it in:
- A. 10 minutes
- B. 15 minutes
- C. 12 minutes
- D. 25 minutes
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Answer: C. 12 minutes
1/20 + 1/30 = 1/12.Q55. A, B and C can do a job in 10, 12 and 15 days. Working together, they finish it in:
- A. 3 days
- B. 6 days
- C. 5 days
- D. 4 days
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Answer: D. 4 days
1/10 + 1/12 + 1/15 = 1/4.Q56. A can do a job in 16 days. He works for 4 days and B finishes the rest in 9 days. How long would B take alone?
- A. 12 days
- B. 10 days
- C. 15 days
- D. 18 days
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Answer: A. 12 days
A does 1/4; B does 3/4 in 9 days, so all of it in 12.Q57. If 5 men or 8 women can do a job in 24 days, how long will 5 men and 8 women together take?
- A. 16 days
- B. 12 days
- C. 48 days
- D. 8 days
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Answer: B. 12 days
Each group alone takes 24 days, so together they take half.Q58. A car travels 240 km in 4 hours. What is its speed in m/s?
- A. 20
- B. 15
- C. 16.67
- D. 60
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Answer: C. 16.67
60 km/h × 5/18 = 16.67 m/s.Q59. What is 72 km/h in m/s?
- A. 15
- B. 20
- C. 25
- D. 18
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Answer: B. 20
72 × 5/18 = 20.Q60. A person goes to a place at 40 km/h and returns at 60 km/h. What is the average speed for the round trip?
- A. 50 km/h
- B. 45 km/h
- C. 48 km/h
- D. 52 km/h
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Answer: C. 48 km/h
Average speed = 2 × 40 × 60 / (40 + 60).Q61. A train 150 m long passes a pole in 10 seconds. What is its speed in km/h?
- A. 54
- B. 50
- C. 60
- D. 15
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Answer: A. 54
15 m/s × 18/5 = 54 km/h.Q62. A 200 m train at 72 km/h crosses a 300 m platform in how many seconds?
- A. 30
- B. 25
- C. 15
- D. 20
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Answer: B. 25
Distance 500 m at 20 m/s.Q63. Two trains 100 m and 150 m long run in opposite directions at 40 and 50 km/h. How long do they take to cross each other?
- A. 9 seconds
- B. 12 seconds
- C. 10 seconds
- D. 15 seconds
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Answer: C. 10 seconds
Relative speed 90 km/h = 25 m/s; 250 / 25 = 10.Q64. Two trains in the same direction at 60 and 42 km/h; the faster, 200 m long, passes a man in the slower train. How long does it take?
- A. 36 seconds
- B. 12 seconds
- C. 40 seconds
- D. 20 seconds
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Answer: C. 40 seconds
Relative speed 18 km/h = 5 m/s; 200 / 5 = 40.Q65. A boat goes 12 km/h in still water; the stream flows at 3 km/h. How long to go 45 km downstream?
- A. 5 hours
- B. 3 hours
- C. 4 hours
- D. 3.75 hours
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Answer: B. 3 hours
Downstream speed 15 km/h.Q66. A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream?
- A. 3 km/h
- B. 8 km/h
- C. 4 km/h
- D. 2 km/h
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Answer: D. 2 km/h
Downstream 10, upstream 6: stream = (10 − 6) / 2.Q67. Walking at 3/4 of his usual speed, a man is 20 minutes late. What is his usual time?
- A. 60 minutes
- B. 80 minutes
- C. 45 minutes
- D. 40 minutes
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Answer: A. 60 minutes
Time becomes 4/3 of usual: extra 1/3 = 20 min.Q68. A and B start towards each other from 300 km apart at 40 and 60 km/h. When do they meet?
- A. After 3 hours
- B. After 2 hours
- C. After 7.5 hours
- D. After 5 hours
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Answer: A. After 3 hours
Closing speed 100 km/h.Q69. A cyclist covers 18 km in 45 minutes. What is the speed in km/h?
- A. 20
- B. 22
- C. 24
- D. 27
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Answer: C. 24
18 / 0.75 = 24.Q70. A runner completes a 400 m lap in 80 seconds. What is the speed in km/h?
- A. 16
- B. 18
- C. 20
- D. 5
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Answer: B. 18
5 m/s × 18/5 = 18 km/h.Q71. What is the HCF of 84 and 126?
- A. 21
- B. 63
- C. 42
- D. 14
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Answer: C. 42
84 = 2² × 3 × 7; 126 = 2 × 3² × 7.Q72. What is the LCM of 12, 15 and 20?
- A. 120
- B. 30
- C. 180
- D. 60
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Answer: D. 60
LCM = 2² × 3 × 5.Q73. What is the smallest number that leaves a remainder of 3 when divided by 4, 6 and 9?
- A. 39
- B. 75
- C. 36
- D. 33
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Answer: A. 39
LCM(4, 6, 9) = 36, plus 3.Q74. What is the unit digit of 7^95?
- A. 7
- B. 1
- C. 3
- D. 9
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Answer: C. 3
Units of 7^n cycle 7, 9, 3, 1; 95 mod 4 = 3.Q75. What is the remainder when 2^31 is divided by 5?
- A. 3
- B. 4
- C. 2
- D. 1
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Answer: A. 3
2^n mod 5 cycles 2, 4, 3, 1; 31 mod 4 = 3.Q76. How many numbers between 1 and 100 are divisible by both 3 and 5?
- A. 5
- B. 6
- C. 20
- D. 7
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Answer: B. 6
Multiples of 15: 15 to 90.Q77. How many numbers from 1 to 100 are divisible by 3 or 5?
- A. 53
- B. 33
- C. 47
- D. 40
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Answer: C. 47
33 + 20 − 6 = 47.Q78. What is the sum of all natural numbers from 1 to 50?
- A. 2550
- B. 1275
- C. 1250
- D. 1300
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Answer: B. 1275
50 × 51 / 2.Q79. What is the sum of the first 20 odd numbers?
- A. 420
- B. 200
- C. 380
- D. 400
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Answer: D. 400
The sum of the first n odd numbers is n².Q80. How many trailing zeros does 50! have?
- A. 12
- B. 10
- C. 11
- D. 5
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Answer: A. 12
50/5 + 50/25 = 10 + 2.Q81. What is the smallest 4-digit number divisible by 18?
- A. 1008
- B. 1018
- C. 1080
- D. 1002
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Answer: A. 1008
1000 / 18 leaves remainder 10; next multiple is 1008.Q82. What is the largest 3-digit number divisible by 7?
- A. 994
- B. 987
- C. 997
- D. 999
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Answer: A. 994
999 mod 7 = 5, so 999 − 5.Q83. How many factors does 36 have?
- A. 6
- B. 12
- C. 8
- D. 9
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Answer: D. 9
36 = 2² × 3²: (2 + 1)(2 + 1) = 9.Q84. Which of these numbers is divisible by 11?
- A. 121473
- B. 121474
- C. 121476
- D. 121475
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Answer: A. 121473
Alternating digit sum 1 − 2 + 1 − 4 + 7 − 3 = 0, divisible by 11.Q85. What is the square root of 2025?
- A. 35
- B. 45
- C. 55
- D. 51
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Answer: B. 45
45 × 45 = 2,025.Q86. What is the cube root of 2744?
- A. 16
- B. 14
- C. 12
- D. 13
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Answer: B. 14
14³ = 2,744.Q87. What is 25% of 25% of 1,600?
- A. 200
- B. 400
- C. 50
- D. 100
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Answer: D. 100
1,600 / 4 / 4 = 100.Q88. Simplify: 48 ÷ 6 × 4 − 10 + 2
- A. 34
- B. 24
- C. 4
- D. 22
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Answer: B. 24
Left to right for ÷ and ×: 8 × 4 = 32; 32 − 10 + 2 = 24.Q89. What is 0.25 + 0.5 × 0.4?
- A. 0.65
- B. 0.45
- C. 0.75
- D. 0.3
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Answer: B. 0.45
Multiply first: 0.2 + 0.25.Q90. What is 3/4 of 2/3 of 360?
- A. 270
- B. 180
- C. 240
- D. 120
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Answer: B. 180
360 × 2/3 = 240; 240 × 3/4 = 180.Q91. In how many ways can 5 people stand in a line?
- A. 24
- B. 60
- C. 25
- D. 120
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Answer: D. 120
5! = 120.Q92. In how many ways can 3 students be chosen from 10?
- A. 210
- B. 30
- C. 720
- D. 120
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Answer: D. 120
C(10, 3) = 120.Q93. How many ways can a president and a secretary be chosen from 8 people?
- A. 64
- B. 56
- C. 28
- D. 16
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Answer: B. 56
Order matters: 8 × 7.Q94. How many different arrangements of the letters of the word LEVEL are there?
- A. 120
- B. 60
- C. 30
- D. 20
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Answer: C. 30
5! / (2! × 2!) for two L's and two E's.Q95. How many handshakes happen when 12 people each shake hands once with everyone else?
- A. 132
- B. 66
- C. 24
- D. 144
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Answer: B. 66
C(12, 2) = 66.Q96. How many diagonals does a hexagon have?
- A. 9
- B. 12
- C. 6
- D. 15
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Answer: A. 9
n(n − 3)/2 = 6 × 3 / 2.Q97. A coin is tossed 3 times. What is the probability of getting exactly 2 heads?
- A. 1/2
- B. 3/8
- C. 1/4
- D. 1/8
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Answer: B. 3/8
C(3, 2) = 3 of 8 outcomes.Q98. Two dice are thrown. What is the probability that the sum is 7?
- A. 5/36
- B. 1/12
- C. 7/36
- D. 1/6
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Answer: D. 1/6
6 of 36 outcomes.Q99. A bag has 4 red and 6 blue balls. One ball is drawn. What is the probability it is red?
- A. 2/5
- B. 1/4
- C. 3/5
- D. 4/6
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Answer: A. 2/5
4 of 10 = 2/5.Q100. A card is drawn from a standard deck. What is the probability it is a king or a heart?
- A. 1/4
- B. 4/13
- C. 17/52
- D. 5/13
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Answer: B. 4/13
4 + 13 − 1 = 16 of 52.Q101. Two balls are drawn from a bag of 5 red and 3 green. What is the probability both are red?
- A. 10/28
- B. 5/14
- C. 25/64
- D. 5/8
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Answer: B. 5/14
C(5, 2) / C(8, 2) = 10/28 = 5/14.Q102. What is the probability of getting at least one head in 2 tosses of a coin?
- A. 2/3
- B. 1/2
- C. 1/4
- D. 3/4
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Answer: D. 3/4
1 − P(no heads) = 1 − 1/4.Q103. How many 3-digit numbers can be formed from the digits 1–5 without repeating a digit?
- A. 125
- B. 60
- C. 120
- D. 10
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Answer: B. 60
5 × 4 × 3.Q104. How many 3-digit numbers can be formed from the digits 1–5 if digits may repeat?
- A. 243
- B. 60
- C. 15
- D. 125
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Answer: D. 125
5 × 5 × 5.Q105. What is the area of a rectangle 24 m long and 15 m wide?
- A. 340 m²
- B. 360 m²
- C. 78 m²
- D. 39 m²
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Answer: B. 360 m²
24 × 15.Q106. What is the perimeter of a square of side 13 cm?
- A. 26 cm
- B. 52 cm
- C. 169 cm
- D. 39 cm
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Answer: B. 52 cm
4 × 13.Q107. What is the area of a circle of radius 7 cm? (π = 22/7)
- A. 308 cm²
- B. 49 cm²
- C. 154 cm²
- D. 44 cm²
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Answer: C. 154 cm²
22/7 × 49.Q108. What is the circumference of a circle of radius 14 cm? (π = 22/7)
- A. 44 cm
- B. 88 cm
- C. 616 cm
- D. 176 cm
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Answer: B. 88 cm
2 × 22/7 × 14.Q109. What is the area of a triangle with base 18 cm and height 10 cm?
- A. 180 cm²
- B. 45 cm²
- C. 28 cm²
- D. 90 cm²
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Answer: D. 90 cm²
½ × 18 × 10.Q110. A right triangle has legs of 6 cm and 8 cm. What is the hypotenuse?
- A. 12 cm
- B. 9 cm
- C. 14 cm
- D. 10 cm
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Answer: D. 10 cm
√(36 + 64).Q111. What is the volume of a cube of side 6 cm?
- A. 144 cm³
- B. 36 cm³
- C. 216 cm³
- D. 18 cm³
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Answer: C. 216 cm³
6³.Q112. What is the total surface area of a cube of side 5 cm?
- A. 125 cm²
- B. 25 cm²
- C. 100 cm²
- D. 150 cm²
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Answer: D. 150 cm²
6 × 5².Q113. What is the volume of a cuboid 10 cm × 6 cm × 4 cm?
- A. 248 cm³
- B. 120 cm³
- C. 240 cm³
- D. 20 cm³
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Answer: C. 240 cm³
10 × 6 × 4.Q114. What is the volume of a cylinder with radius 7 cm and height 10 cm? (π = 22/7)
- A. 154 cm³
- B. 3080 cm³
- C. 1540 cm³
- D. 440 cm³
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Answer: C. 1540 cm³
22/7 × 49 × 10.Q115. If each side of a square increases by 20%, by what percentage does its area increase?
- A. 20%
- B. 44%
- C. 24%
- D. 40%
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Answer: B. 44%
1.2² = 1.44.Q116. A rectangular field 60 m × 40 m has a 5 m wide path inside along its edges. What is the area of the path?
- A. 900 m²
- B. 1200 m²
- C. 1000 m²
- D. 500 m²
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Answer: A. 900 m²
60 × 40 − 50 × 30 = 2,400 − 1,500.Q117. What is the angle between the hands of a clock at 3:00?
- A. 180°
- B. 45°
- C. 90°
- D. 60°
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Answer: C. 90°
Each hour mark is 30°.Q118. What is the angle between the hands of a clock at 4:20?
- A. 10°
- B. 5°
- C. 20°
- D. 0°
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Answer: A. 10°
|30 × 4 − 5.5 × 20| = |120 − 110|.Q119. How many times do the hands of a clock coincide in 12 hours?
- A. 24
- B. 11
- C. 10
- D. 12
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Answer: B. 11
Once every 12/11 hours.Q120. If 1 January 2026 is a Thursday, what day is 1 January 2027?
- A. Thursday
- B. Wednesday
- C. Saturday
- D. Friday
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Answer: D. Friday
2026 is not a leap year: 365 days = 52 weeks + 1 day.Q121. How many odd days are there in a leap year?
- A. 1
- B. 3
- C. 0
- D. 2
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Answer: D. 2
366 = 52 weeks + 2 days.Q122. If today is Monday, what day will it be 100 days from today?
- A. Monday
- B. Wednesday
- C. Thursday
- D. Tuesday
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Answer: B. Wednesday
100 mod 7 = 2: Monday + 2.Q123. In what ratio must rice at ₹40/kg be mixed with rice at ₹60/kg to get a mixture worth ₹45/kg?
- A. 2 : 1
- B. 1 : 3
- C. 1 : 2
- D. 3 : 1
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Answer: D. 3 : 1
Alligation: (60 − 45) : (45 − 40) = 15 : 5.Q124. A 40-litre mixture has milk and water in the ratio 3 : 1. How much water must be added to make it 3 : 2?
- A. 10 litres
- B. 8 litres
- C. 15 litres
- D. 5 litres
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Answer: A. 10 litres
Milk 30, water 10; for 3 : 2, water must be 20.Q125. The sum of two numbers is 40 and their difference is 10. What is their product?
- A. 400
- B. 300
- C. 350
- D. 375
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Answer: D. 375
The numbers are 25 and 15.Q126. The product of two consecutive positive integers is 132. What is the larger?
- A. 11
- B. 12
- C. 14
- D. 13
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Answer: B. 12
11 × 12 = 132.Q127. If 3x − 7 = 2x + 5, what is x?
- A. 5
- B. 12
- C. 2
- D. -2
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Answer: B. 12
3x − 2x = 5 + 7.Q128. A sum of ₹2,000 is made of ₹10 and ₹50 notes, 80 notes in all. How many ₹50 notes are there?
- A. 30
- B. 50
- C. 40
- D. 20
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Answer: A. 30
10(80 − x) + 50x = 2,000, so x = 30.Q129. A man spends 75% of his income. If his income rises by 20% and spending by 10%, by what percentage do his savings change?
- A. 50% increase
- B. 10% increase
- C. 20% increase
- D. 30% increase
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Answer: A. 50% increase
Income 100 → 120, spending 75 → 82.5, savings 25 → 37.5.Q130. A clock gains 5 minutes every hour. How much will it gain in 2 days?
- A. 240 hours
- B. 4 hours
- C. 3 hours
- D. 2 hours
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Answer: B. 4 hours
48 hours × 5 minutes = 240 minutes.Q131. What is 20% of 940?
- A. 169.2
- B. 198
- C. 188
- D. 282
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Answer: C. 188
20% of 940 = 20 × 940 ÷ 100 = 188.Q132. What is 75% of 380?
- A. 285
- B. 360
- C. 313.5
- D. 427.5
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Answer: A. 285
75% of 380 = 75 × 380 ÷ 100 = 285.Q133. The price of a product is increased by 25% and then decreased by 30%. What is the net change in price?
- A. 17.5% decrease
- B. 5% decrease
- C. 12.5% increase
- D. 12.5% decrease
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Answer: D. 12.5% decrease
Net change = a − b − ab/100 = 25 − 30 − 25×30/100 = -12.5%.Q134. The price of a product is increased by 30% and then decreased by 30%. What is the net change in price?
- A. No change
- B. 9% increase
- C. 9% decrease
- D. 14% decrease
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Answer: C. 9% decrease
Net change = a − b − ab/100 = 30 − 30 − 30×30/100 = -9%.Q135. A shopkeeper buys an article for ₹600 and sells it for ₹840. What is the profit percentage?
- A. 40%
- B. 45%
- C. 35%
- D. 50%
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Answer: A. 40%
Profit = 240; profit % = 240 ÷ 600 × 100 = 40%.Q136. A shopkeeper buys an article for ₹1,300 and sells it for ₹1,560. What is the profit percentage?
- A. 20%
- B. 25%
- C. 35%
- D. 22.5%
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Answer: A. 20%
Profit = 260; profit % = 260 ÷ 1,300 × 100 = 20%.Q137. Find the simple interest on ₹42,000 at 8% per annum for 3 years.
- A. ₹9,580
- B. ₹6,720
- C. ₹10,080
- D. ₹11,080
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Answer: C. ₹10,080
SI = P × R × T ÷ 100 = 42,000 × 8 × 3 ÷ 100 = ₹10,080.Q138. Find the simple interest on ₹49,000 at 8% per annum for 6 years.
- A. ₹35,280
- B. ₹23,520
- C. ₹27,440
- D. ₹19,600
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Answer: B. ₹23,520
SI = P × R × T ÷ 100 = 49,000 × 8 × 6 ÷ 100 = ₹23,520.Q139. What is the compound interest on ₹11,000 at 10% per annum for 2 years, compounded annually?
- A. ₹2,420
- B. ₹2,310
- C. ₹2,200
- D. ₹13,310
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Answer: B. ₹2,310
Amount = P(1 + R/100)² = ₹13,310; CI = Amount − P = ₹2,310. (Simple interest would be ₹2,200.)Q140. What is the compound interest on ₹2,000 at 20% per annum for 2 years, compounded annually?
- A. ₹800
- B. ₹880
- C. ₹900
- D. ₹2,880
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Answer: B. ₹880
Amount = P(1 + R/100)² = ₹2,880; CI = Amount − P = ₹880. (Simple interest would be ₹800.)Q141. A train 510 m long is running at 108 km/h. How long does it take to cross a pole?
- A. 17 seconds
- B. 21 seconds
- C. 19 seconds
- D. 15 seconds
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Answer: A. 17 seconds
108 km/h = 108 × 5/18 = 30 m/s. Time = 510 ÷ 30 = 17 s.Q142. A train 165 m long is running at 54 km/h. How long does it take to cross a pole?
- A. 9 seconds
- B. 22 seconds
- C. 7 seconds
- D. 11 seconds
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Answer: D. 11 seconds
54 km/h = 54 × 5/18 = 15 m/s. Time = 165 ÷ 15 = 11 s.Q143. A 100 m long train running at 36 km/h crosses a platform in 17 seconds. What is the length of the platform?
- A. 90 m
- B. 120 m
- C. 70 m
- D. 20 m
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Answer: C. 70 m
Speed = 10 m/s, distance in 17 s = 170 m = train + platform, so platform = 170 − 100 = 70 m.Q144. A 70 m long train running at 90 km/h crosses a platform in 16 seconds. What is the length of the platform?
- A. 330 m
- B. 280 m
- C. 260 m
- D. 350 m
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Answer: A. 330 m
Speed = 25 m/s, distance in 16 s = 400 m = train + platform, so platform = 400 − 70 = 330 m.Q145. Ravi can finish a job in 28 days and Meena in 21 days. Working together, in how many days will they finish it?
- A. 15 days
- B. 12 days
- C. 10 days
- D. 14 days
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Answer: B. 12 days
Together they do 1/28 + 1/21 = 1/12 of the job per day, so it takes 28×21 ÷ (28+21) = 12 days.Q146. Meena can finish a job in 12 days and Divya in 24 days. Working together, in how many days will they finish it?
- A. 8 days
- B. 18 days
- C. 6 days
- D. 9 days
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Answer: A. 8 days
Together they do 1/12 + 1/24 = 1/8 of the job per day, so it takes 12×24 ÷ (12+24) = 8 days.Q147. Pipe A fills a tank in 3 hours and pipe B empties it in 6 hours. If both are opened together on an empty tank, how long will it take to fill?
- A. 10 hours
- B. 2 hours
- C. 6 hours
- D. 8 hours
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Answer: C. 6 hours
Net rate = 1/3 − 1/6 = 1/6 per hour, so time = 3×6 ÷ (6−3) = 6 hours.Q148. Pipe A fills a tank in 12 hours and pipe B empties it in 18 hours. If both are opened together on an empty tank, how long will it take to fill?
- A. 40 hours
- B. 34 hours
- C. 38 hours
- D. 36 hours
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Answer: D. 36 hours
Net rate = 1/12 − 1/18 = 1/36 per hour, so time = 12×18 ÷ (18−12) = 36 hours.Q149. The average of 8 numbers is 54. When one number is removed, the average of the rest becomes 51. What number was removed?
- A. 81
- B. 75
- C. 72
- D. 54
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Answer: B. 75
Total before = 8 × 54 = 432. Total after = 7 × 51 = 357. Removed = 75.Q150. The average of 7 numbers is 59. When one number is removed, the average of the rest becomes 62. What number was removed?
- A. 35
- B. 44
- C. 41
- D. 34
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Answer: C. 41
Total before = 7 × 59 = 413. Total after = 6 × 62 = 372. Removed = 41.Q151. ₹1,680 is divided between Priya and Kavi in the ratio 6 : 1. How much does Priya get?
- A. ₹240
- B. ₹1,440
- C. ₹840
- D. ₹1,680
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Answer: B. ₹1,440
One part = 1,680 ÷ (6 + 1) = 240. Priya gets 6 parts = ₹1,440.Q152. ₹660 is divided between Ravi and Karthik in the ratio 2 : 4. How much does Ravi get?
- A. ₹220
- B. ₹330
- C. ₹440
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Answer: A. ₹220
One part = 660 ÷ (2 + 4) = 110. Ravi gets 2 parts = ₹220.Q153. A father is 2 times as old as his son. The sum of their ages is 42. How old will the son be in 6 years?
- A. 18 years
- B. 20 years
- C. 34 years
- D. 14 years
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Answer: B. 20 years
Son = x, father = 2x, so 3x = 42 and x = 14. In 6 years the son will be 20.Q154. A father is 4 times as old as his son. The sum of their ages is 40. How old will the son be in 4 years?
- A. 12 years
- B. 8 years
- C. 36 years
- D. 16 years
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Answer: A. 12 years
Son = x, father = 4x, so 5x = 40 and x = 8. In 4 years the son will be 12.Q155. What is the LCM of 56 and 21?
- A. 1,176
- B. 168
- C. 336
- D. 7
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Answer: B. 168
56 = 7 × 8 and 21 = 7 × 3, so HCF = 7 and LCM = 7 × 8 × 3 = 168.Q156. What is the LCM of 99 and 77?
- A. 7,623
- B. 1,386
- C. 11
- D. 693
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Answer: D. 693
99 = 11 × 9 and 77 = 11 × 7, so HCF = 11 and LCM = 11 × 9 × 7 = 693.Q157. What is the smaller angle between the hour and minute hands of a clock at 8:20?
- A. 145°
- B. 137.5°
- C. 160°
- D. 130°
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Answer: D. 130°
Angle = |30h − 5.5m| = |30×8 − 5.5×20| = 130°; take 360° minus it if over 180°. Answer: 130°.Q158. What is the smaller angle between the hour and minute hands of a clock at 11:10?
- A. 85°
- B. 70°
- C. 92.5°
- D. 100°
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Answer: A. 85°
Angle = |30h − 5.5m| = |30×11 − 5.5×10| = 275°; take 360° minus it if over 180°. Answer: 85°.Q159. Two fair dice are thrown. What is the probability that the sum is 7?
- A. 1/6
- B. 7/36
- C. 5/36
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Answer: A. 1/6
There are 36 outcomes and 6 of them give a sum of 7, so P = 6/36 = 1/6.Q160. Two fair dice are thrown. What is the probability that the sum is 2?
- A. 1/36
- B. 1/6
- C. 1/18
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Answer: A. 1/36
There are 36 outcomes and 1 of them give a sum of 2, so P = 1/36 = 1/36.Q161. 5 fair coins are tossed. What is the probability of getting exactly 0 heads?
- A. 5/32
- B. 1/2
- C. 1/32
- D. 1/16
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Answer: C. 1/32
There are 2^5 = 32 outcomes and C(5, 0) = 1 have exactly 0 heads, so P = 1/32.Q162. 5 fair coins are tossed. What is the probability of getting exactly 4 heads?
- A. 3/16
- B. 1/2
- C. 5/32
- D. 1/32
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Answer: C. 5/32
There are 2^5 = 32 outcomes and C(5, 4) = 5 have exactly 4 heads, so P = 5/32.Q163. A boat goes 14 km/h downstream and 10 km/h upstream. What is the speed of the boat in still water?
- A. 10 km/h
- B. 14 km/h
- C. 12 km/h
- D. 13 km/h
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Answer: C. 12 km/h
Boat = (down + up) ÷ 2 = 12; stream = (down − up) ÷ 2 = 2.Q164. A boat goes 11 km/h downstream and 5 km/h upstream. What is the speed of the boat in still water?
- A. 10 km/h
- B. 9 km/h
- C. 5 km/h
- D. 8 km/h
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Answer: D. 8 km/h
Boat = (down + up) ÷ 2 = 8; stream = (down − up) ÷ 2 = 3.Q165. Two successive discounts of 10% and 40% are equal to a single discount of:
- A. 50%
- B. 41%
- C. 51%
- D. 46%
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Answer: D. 46%
Single discount = a + b − ab/100 = 10 + 40 − 4 = 46%.Q166. Two successive discounts of 25% and 20% are equal to a single discount of:
- A. 40%
- B. 45%
- C. 42.5%
- D. 35%
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Answer: A. 40%
Single discount = a + b − ab/100 = 25 + 20 − 5 = 40%.
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