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Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 399 · 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.Rice at ₹37 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  2. 2.Two tanks hold 175 litres and 50 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
  3. 3.A shopkeeper buys a bicycle for ₹1020 and sells it for ₹1173. Find the profit percent.
  4. 4.A car runs for 3 hours at 58 km/h and then for 4 hours at 72 km/h. What is its average speed for the whole journey (in km/h)?
  5. 5.A car runs for 4 hours at 67 km/h and then for 3 hours at 25 km/h. What is its average speed for the whole journey (in km/h)?
  6. 6.In how many years will ₹7700 earn ₹2310 as simple interest at 15% per year?
  7. 7.Which is closest to 402 ÷ 19? (a) 20 (b) 10 (c) 40 (d) 200
  8. 8.Vivaan, Sneha and Ishaan invest ₹14000, ₹6000 and ₹19000 in a shop. The profit is ₹3900. What is Ishaan’s share (in ₹)?
  9. 9.Which is closest to 602 + 201 + 104? (a) 1000 (b) 800 (c) 1100 (d) 900
  10. 10.Two trains, 160 m and 90 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  11. 11.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  12. 12.What is 50% of 122?
  13. 13.Write 1/2 as a percent.
  14. 14.The sum of 5 consecutive numbers is 195. What is the largest of them?
  15. 15.Priya is 6 years older than Arjun. In 3 years, the sum of their ages will be 30. How old is Arjun now?
  16. 16.What is the smallest number you must take away from 330 so that it divides exactly by 7?
  17. 17.A cylinder has a radius of 7 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  18. 18.What is 10% of 330?
  19. 19.What is the smallest number you must add to 678 so that it divides exactly by 4?
  20. 20.How many factors does 75 have?
  21. 21.6.68 + 6.3 =
  22. 22.3/4 of 20 + 4 × 7 =
  23. 23.A cylinder has a radius of 7 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  24. 24.Isha has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  25. 25.Books sold by a shop
    Mon: 80
    Tue: 30
    Wed: 30
    Thu: 50
    Fri: 10
    The number for Thu is what percent of the total?
  26. 26.If 12 kites cost ₹168, how much do 8 kites cost (in ₹)?
  27. 27.Aarav can finish a job in 7 days and Priya in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.A garden is 32 m long and 6 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  29. 29.Rice at ₹46 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  30. 30.A tap fills a tank in 12 hours. A leak at the bottom empties the full tank in 28 hours. With both open, how many hours does the tank take to fill?
  31. 31.After a 5% discount, a bicycle costs ₹2261. What was its marked price (in ₹)?
  32. 32.Pooja can finish a job in 14 days and Zoya in 24 days. Pooja works alone for 7 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  33. 33.Two discounts of 25% and 25%, one after the other, are the same as one discount of what percent? =
  34. 34.A jug has 40 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.Find the LCM of 15, 3 and 2.
  36. 36.What is the smallest number you must add to 159 so that it divides exactly by 11?
  37. 37.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 105 km upstream and come back?
  38. 38.Pipes A and B fill a tank in 6 and 10 hours. Pipe C empties the full tank in 4 hours. If all three are open, how many hours does the tank take to fill?
  39. 39.What is the difference between the compound interest and the simple interest on ₹27500 at 8% per year for 2 years (in ₹)?
  40. 40.Round 72083 to the nearest hundred.

Answer key

  1. 12
  2. 25
  3. 15
  4. 66
  5. 49
  6. 2
  7. 20
  8. 1900
  9. 900
  10. 5
  11. 616
  12. 61
  13. 50
  14. 41
  15. 9
  16. 1
  17. 2772
  18. 33
  19. 2
  20. 6
  21. 12.98
  22. 43
  23. 2310
  24. 8
  25. 25
  26. 112
  27. 25/126
  28. 80
  29. 40
  30. 21
  31. 2380
  32. 12
  33. 43.75
  34. 20
  35. 30
  36. 6
  37. 36
  38. 60
  39. 176
  40. 72100

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