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Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 262 · 40 questions
TalentJR

The method (Type, method, check): Name the type of question. Write the formula or method from that lesson and work step by step. Check units and size, and put the answer back into the question.

NameDateTime takenScore ___ / 40
  1. 1.Pipes A and B together fill a tank in 4 hours. Pipe A alone fills it in 6 hours. How many hours does pipe B alone take?
  2. 2.Kabir puts ₹3000 into a business for 5 months and Sneha puts ₹7000 for 12 months. The profit is ₹6930. What is Kabir’s share (in ₹)?
  3. 3.Find the smallest number bigger than 10 that leaves a remainder of 2 when divided by 8, 6 or 10.
  4. 4.A pen costs ₹9 more than a pencil. 2 pens and 8 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  5. 5.Find the compound interest on ₹8600 at 10% per year for 2 years, added every year (in ₹).
  6. 6.What is the smallest number you must add to 669 so that it divides exactly by 6?
  7. 7.Trees planted by each class
    Class 6: 100
    Class 7: 75
    Class 8: 100
    Class 9: 125
    Class 10: 100
    What is the average number of trees per class?
  8. 8.The sum of 3 consecutive numbers is 126. What is the largest of them?
  9. 9.Two discounts of 20% and 10%, one after the other, are the same as one discount of what percent? =
  10. 10.Karan can finish a job in 18 days and Diya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.A cylinder has a radius of 14 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  12. 12.Which is closest to 402 + 704 + 904? (a) 2200 (b) 1900 (c) 2000 (d) 2100
  13. 13.A tap fills a tank in 3 hours. A leak at the bottom empties the full tank in 6 hours. With both open, how many hours does the tank take to fill?
  14. 14.The perimeter of a square is 52 cm. What is its area (in sq cm)?
  15. 15.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  16. 16.Find the amount when ₹10500 is invested at 10% per year compound interest for 2 years (in ₹).
  17. 17.If 7 notebooks cost ₹42, how much do 11 notebooks cost (in ₹)?
  18. 18.Priya’s batting average after 15 innings is 31 runs. How many runs must Priya score in the next innings to raise the average to 35?
  19. 19.The simple interest on ₹12400 for 2 years is ₹1984. What is the rate of interest (% per year)?
  20. 20.5/8 × 1/2 =
  21. 21.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  22. 22.1/3 of 15 + 2 × 3 =
  23. 23.What is the smallest number you must take away from 267 so that it divides exactly by 8?
  24. 24.A boat goes 33 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  25. 25.What is the smallest number you must add to 639 so that it divides exactly by 4?
  26. 26.Two trains, 160 m and 280 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  27. 27.The simple interest on ₹18600 for 1 year is ₹930. What is the rate of interest (% per year)?
  28. 28.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  29. 29.A shopkeeper buys a bicycle for ₹1940 and sells it for ₹2910. Find the profit percent.
  30. 30.How many factors does 79 have?
  31. 31.Find the LCM of 15, 12 and 6.
  32. 32.A car runs for 4 hours at 25 km/h and then for 1 hour at 75 km/h. What is its average speed for the whole journey (in km/h)?
  33. 33.Find the HCF of 20 and 16.
  34. 34.A school bag is marked at ₹880. The shop takes 10% off, and then a further 50% off the new price. How much do you pay (in ₹)?
  35. 35.A grocer mixes 12 kg of tea at ₹63 per kg with 6 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.2 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 24 years old now. How old is Ishaan now?
  37. 37.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  38. 38.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  39. 39.11 : 2 = 44 : ?
  40. 40.A pen costs ₹8 more than a pencil. 6 pens and 3 pencils cost ₹111 in all. What does one pencil cost (in ₹)?

Answer key

  1. 12
  2. 1050
  3. 122
  4. 5
  5. 1806
  6. 3
  7. 100
  8. 43
  9. 28
  10. 63/8
  11. 5544
  12. 2000
  13. 6
  14. 169
  15. 28
  16. 12705
  17. 66
  18. 95
  19. 8
  20. 5/16
  21. 5
  22. 11
  23. 3
  24. 1
  25. 1
  26. 11
  27. 5
  28. 20
  29. 50
  30. 2
  31. 60
  32. 35
  33. 4
  34. 396
  35. 49
  36. 13
  37. 50
  38. 50
  39. 8
  40. 7

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