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.

1. Q1. 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.

2. Q2. 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.

3. Q3. 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%.

4. Q4. 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%.

5. Q5. 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%.

6. Q6. 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%.

7. Q7. 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.

8. Q8. 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.

9. Q9. 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.)

10. Q10. 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.)

11. Q11. 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.

12. Q12. 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.

13. Q13. 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.

14. Q14. 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.

15. Q15. 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.

16. Q16. 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.

17. Q17. 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.

18. Q18. 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.

19. Q19. 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.

20. Q20. 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.

21. Q21. ₹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.

22. Q22. ₹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.

23. Q23. 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.

24. Q24. 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.

25. Q25. 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.

26. Q26. 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.

27. Q27. 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°.

28. Q28. 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°.

29. Q29. 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.

30. Q30. 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.

31. Q31. 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.

32. Q32. 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.

33. Q33. 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.

34. Q34. 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.

35. Q35. 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%.

36. Q36. 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%.