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Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 480 · 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.Two trains, 60 m and 160 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  2. 2.By selling a pressure cooker for ₹504, a shopkeeper makes a profit of 20%. What did the pressure cooker cost the shopkeeper (in ₹)?
  3. 3.Pipes A and B fill a tank in 3 and 4 hours. Pipe C empties the full tank in 2 hours. If all three are open, how many hours does the tank take to fill?
  4. 4.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  5. 5.3 years ago, Nisha’s mother was twice as old as Nisha. The mother is 19 years old now. How old is Nisha now?
  6. 6.A pressure cooker is marked at ₹1160. The shop gives a 30% discount. How much do you pay (in ₹)?
  7. 7.In 4 years, Nisha will be twice as old as Nisha was 3 years ago. How old is Nisha now?
  8. 8.Rice at ₹27 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  9. 9.How many minutes does a car take to go 78 km at 65 km/h?
  10. 10.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  11. 11.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  12. 12.The sum of two numbers is 81 and their difference is 31. What is the smaller number?
  13. 13.The simple interest on ₹8200 for 3 years is ₹1968. What is the rate of interest (% per year)?
  14. 14.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  15. 15.Find the amount when ₹47200 is invested at 15% per year compound interest for 2 years (in ₹).
  16. 16.A 63-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  17. 17.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  18. 18.What percent of 200 is 162?
  19. 19.Find the LCM of 10, 3 and 6.
  20. 20.Change 30 m/s into km/h.
  21. 21.Find the compound interest on ₹12000 at 10% per year for 3 years, added every year (in ₹).
  22. 22.What is the smallest number you must add to 377 so that it divides exactly by 7?
  23. 23.Change 25 m/s into km/h.
  24. 24.Find the simple interest on ₹14800 at 7% per year for 2 years (in ₹).
  25. 25.Rice at ₹32 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  26. 26.Manav is 7 years older than Pooja. In 10 years, the sum of their ages will be 81. How old is Pooja now?
  27. 27.The price of a school bag changes from ₹880 to ₹924. By what percent did it go up?
  28. 28.A price goes up by 30% and then goes up by 25% more. By what percent has it gone up in all? =
  29. 29.One number is 2 times another. Their difference is 40. What is the smaller number?
  30. 30.Books sold by a shop
    Mon: 150
    Tue: 250
    Wed: 200
    Thu: 300
    Fri: 100
    What is the difference between the highest and the lowest number of books?
  31. 31.Find the compound interest on ₹1875 at 12% per year for 2 years, added every year (in ₹).
  32. 32.If 9 kg of rice costs ₹234, how many kg can you buy for ₹286?
  33. 33.Find the LCM of 15 and 40.
  34. 34.A fish tank is 70 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  36. 36.A shop sells an average of 50 kg of sugar a day for 2 days, and then 20 kg a day for the next 3 days. What is the average sale per day for all 5 days (in kg)?
  37. 37.A boat goes 38 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  38. 38.3 years ago, Nisha’s mother was twice as old as Nisha. The mother is 27 years old now. How old is Nisha now?
  39. 39.The average of 6 numbers is 17. When one more number is added, the average becomes 22. What number was added?
  40. 40.What is 15% of 420?

Answer key

  1. 11
  2. 420
  3. 12
  4. 27
  5. 11
  6. 812
  7. 10
  8. 25
  9. 72
  10. 5
  11. 29
  12. 25
  13. 8
  14. 1386
  15. 62422
  16. 28
  17. 10
  18. 81
  19. 30
  20. 108
  21. 3972
  22. 1
  23. 90
  24. 2072
  25. 9
  26. 27
  27. 5
  28. 62.5
  29. 40
  30. 200
  31. 477
  32. 11
  33. 120
  34. 140
  35. 70
  36. 32
  37. 1
  38. 15
  39. 52
  40. 63

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