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Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 646 · 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.A tap fills a tank in 10 hours. A leak at the bottom empties the full tank in 11 hours. With both open, how many hours does the tank take to fill?
  2. 2.Diya puts ₹18200 in a bank at 7% simple interest per year. How much will she have after 4 years (in ₹)?
  3. 3.Rice at ₹77 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  4. 4.A cylinder has a radius of 21 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  5. 5.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 115 km upstream and come back?
  6. 6.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  7. 7.Two tanks hold 40 litres and 140 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
  8. 8.9/12 × 2/8 =
  9. 9.Diya and Rohan together finish a job in 6 days. Diya alone takes 8 days. How many days would Rohan take alone?
  10. 10.The price of a school bag changes from ₹60 to ₹57. By what percent did it come down?
  11. 11.If 3 kg of rice costs ₹222, how many kg can you buy for ₹814?
  12. 12.Meera works twice as fast as Isha. Together they finish a job in 9 days. How many days would Isha take alone?
  13. 13.Solve for x: 4(x + 7) = 3x + 30. What is x?
  14. 14.After a 20% discount, a school bag costs ₹960. What was its marked price (in ₹)?
  15. 15.What is the smallest number you must add to 566 so that it divides exactly by 11?
  16. 16.By selling a bicycle for ₹612, a shopkeeper makes a loss of 10%. What did the bicycle cost the shopkeeper (in ₹)?
  17. 17.Which is closest to 896 × 92? (Round each number first.) (a) 810000 (b) 162000 (c) 81000 (d) 8100
  18. 18.A closed box is 7 cm long, 15 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  19. 19.What is the smallest number you must add to 416 so that it divides exactly by 6?
  20. 20.Find the LCM of 14 and 6.
  21. 21.What is the difference between the compound interest and the simple interest on ₹13200 at 25% per year for 2 years (in ₹)?
  22. 22.Sneha puts ₹7000 into a business for 4 months and Aditya puts ₹6000 for 8 months. The profit is ₹3040. What is Sneha’s share (in ₹)?
  23. 23.1/4 of 28 + 7 × 7 =
  24. 24.Find the HCF of 105 and 60.
  25. 25.A shop sells an average of 25 kg of sugar a day for 4 days, and then 35 kg a day for the next 4 days. What is the average sale per day for all 8 days (in kg)?
  26. 26.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.Find the smallest number bigger than 12 that leaves a remainder of 3 when divided by 6, 12 or 4.
  28. 28.Write 3/4 as a percent.
  29. 29.Ananya and Pooja together finish a job in 9 days. Ananya alone takes 12 days. How many days would Pooja take alone?
  30. 30.Find the smallest number bigger than 15 that leaves a remainder of 6 when divided by 15, 12 or 8.
  31. 31.How many minutes does a car take to go 80 km at 30 km/h?
  32. 32.A pipe (a cylinder) has a radius of 14 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  33. 33.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?
  34. 34.A 40-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  35. 35.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  36. 36.Solve for x: 9(x + 4) = 5x + 104. What is x?
  37. 37.8/9 − 3/12 =
  38. 38.A shopkeeper buys a bicycle for ₹720 and sells it for ₹360. Find the loss percent.
  39. 39.A boat goes 65 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  40. 40.Find the LCM of 35 and 25.

Answer key

  1. 110
  2. 23296
  3. 48
  4. 22176
  5. 120
  6. 19
  7. 20
  8. 3/16
  9. 24
  10. 5
  11. 11
  12. 27
  13. 2
  14. 1200
  15. 6
  16. 680
  17. 81000
  18. 386
  19. 4
  20. 42
  21. 825
  22. 1120
  23. 56
  24. 15
  25. 30
  26. 5
  27. 15
  28. 75
  29. 36
  30. 126
  31. 160
  32. 616
  33. 36
  34. 20
  35. 79
  36. 17
  37. 23/36
  38. 50
  39. 5
  40. 175

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