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Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 701 · 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.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  2. 2.Two tanks hold 40 litres and 70 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
  3. 3.The price of a school bag changes from ₹4420 to ₹5746. By what percent did it go up?
  4. 4.A water tank holds 500 litres. 40% of the water is used. How many litres are left?
  5. 5.Change 35 m/s into km/h.
  6. 6.Find the compound interest on ₹36352 at 25% per year for 3 years, added every year (in ₹).
  7. 7.4 painters can paint a school in 14 days. How many days would 8 painters take, working at the same speed?
  8. 8.Aditya takes 45 seconds and Kavya takes 72 seconds to run once round a track. They start together from the start line. After how many seconds will they first be at the start line together again?
  9. 9.A park is 48 m long and 22 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
  10. 10.Dev’s batting average after 14 innings is 31 runs. How many runs must Dev score in the next innings to raise the average to 36?
  11. 11.Two trains, 210 m and 190 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?
  12. 12.Which is closest to 301 × 60? (Round each number first.) (a) 36000 (b) 180000 (c) 18000 (d) 1800
  13. 13.Rice at ₹76 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  14. 14.A boat goes 39 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.A bicycle is marked at ₹1200. The shop takes 25% off, and then a further 10% off the new price. How much do you pay (in ₹)?
  16. 16.Nisha can finish a job in 7 days and Karan in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.What is the smallest number you must take away from 737 so that it divides exactly by 13?
  18. 18.Write 4/5 as a percent.
  19. 19.Which is closest to 3507 ÷ 51? (a) 700 (b) 35 (c) 70 (d) 140
  20. 20.Which is closest to 894 ÷ 29? (a) 300 (b) 60 (c) 30 (d) 15
  21. 21.After a 20% discount, a pair of shoes costs ₹3664. What was its marked price (in ₹)?
  22. 22.Find the LCM of 18 and 21.
  23. 23.The sum of 4 consecutive even numbers is 180. What is the smallest of them?
  24. 24.A cricket bat is marked at ₹1040. The shop takes 10% off, and then a further 50% off the new price. How much do you pay (in ₹)?
  25. 25.Diya can finish a job in 8 days and Sneha in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  26. 26.Find the smallest number bigger than 9 that leaves a remainder of 2 when divided by 5, 4 or 9.
  27. 27.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 39 years. How old is Saanvi?
  28. 28.Aarav, Ishaan and Rohan invest ₹5000, ₹2000 and ₹2000 in a shop. The profit is ₹1800. What is Rohan’s share (in ₹)?
  29. 29.Find the LCM of 10, 8 and 4.
  30. 30.Arjun takes 48 seconds and Meera takes 72 seconds to run once round a track. They start together from the start line. After how many seconds will they first be at the start line together again?
  31. 31.Tara works twice as fast as Dev. Together they finish a job in 4 days. How many days would Dev take alone?
  32. 32.Round 2209 to the nearest ten.
  33. 33.What percent of 20 is 1?
  34. 34.Three temple bells ring every 30, 6 and 9 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
  35. 35.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 6 cm × 18 cm?
  36. 36.2/3 − 4/12 =
  37. 37.Two discounts of 25% and 20%, one after the other, are the same as one discount of what percent? =
  38. 38.A 35-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  39. 39.Two tanks hold 40 litres and 45 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
  40. 40.A closed box is 20 cm long, 9 cm wide and 12 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 80
  2. 10
  3. 30
  4. 300
  5. 126
  6. 34648
  7. 7
  8. 360
  9. 840
  10. 106
  11. 8
  12. 18000
  13. 18
  14. 4
  15. 810
  16. 32/63
  17. 9
  18. 80
  19. 70
  20. 30
  21. 4580
  22. 126
  23. 42
  24. 468
  25. 17/36
  26. 182
  27. 13
  28. 400
  29. 40
  30. 144
  31. 12
  32. 2210
  33. 5
  34. 90
  35. 36
  36. 1/3
  37. 40
  38. 5
  39. 5
  40. 1056

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