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Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 375 · 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.Students who chose each subject
    Maths: 40
    Science: 40
    English: 30
    Hindi: 40
    Art: 50
    How many more students are there for Science than for English?
  2. 2.1/2 − 2/5 =
  3. 3.A bicycle is marked at ₹535. The shop takes 25% off, and then a further 20% off the new price. How much do you pay (in ₹)?
  4. 4.A jug has 10 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  6. 6.What percent of 40 is 14?
  7. 7.Three temple bells ring every 5, 8 and 12 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
  8. 8.A table fan marked at ₹1960 is sold for ₹1568. What is the discount percent?
  9. 9.Two tanks hold 250 litres and 300 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
  10. 10.The price of a school bag changes from ₹2080 to ₹1248. By what percent did it come down?
  11. 11.1/2 × 1/3 =
  12. 12.Find the amount when ₹6250 is invested at 4% per year compound interest for 2 years (in ₹).
  13. 13.A table fan marked at ₹560 is sold for ₹448. What is the discount percent?
  14. 14.A pipe (a cylinder) has a radius of 14 cm and a length of 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  15. 15.In 14 years, Tara will be twice as old as Tara was 2 years ago. How old is Tara now?
  16. 16.Aarav is 9 years older than Diya. In 10 years, the sum of their ages will be 51. How old is Diya now?
  17. 17.Pipe A fills a tank in 20 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  18. 18.Pipes A and B together fill a tank in 2 hours. Pipe A alone fills it in 3 hours. How many hours does pipe B alone take?
  19. 19.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 111 km upstream and come back?
  20. 20.A box is 6 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?
  21. 21.A table fan is marked at ₹435. The shop takes 20% off, and then a further 25% off the new price. How much do you pay (in ₹)?
  22. 22.Round 78.42 to one decimal place. =
  23. 23.Arjun’s batting average after 7 innings is 24 runs. How many runs must Arjun score in the next innings to raise the average to 29?
  24. 24.A water tank holds 980 litres. 30% of the water is used. How many litres are left?
  25. 25.A tap fills a tank in 14 hours. A leak at the bottom empties the full tank in 16 hours. With both open, how many hours does the tank take to fill?
  26. 26.Pipe A fills a tank in 12 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  27. 27.A garden is 29 m long and 16 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  28. 28.2/9 × 1/3 =
  29. 29.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 12 cm × 24 cm?
  30. 30.Diya takes 80 seconds and Pooja takes 90 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.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  32. 32.Find the HCF of 48 and 42.
  33. 33.Marks of 4 friends in a quiz: 80, 70, 83, 87. What is their average mark?
  34. 34.Tara, Manav and Saanvi invest ₹8000, ₹3000 and ₹6000 in a shop. The profit is ₹17000. What is Saanvi’s share (in ₹)?
  35. 35.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  36. 36.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?
  37. 37.Rice at ₹30 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  38. 38.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  39. 39.The price of a school bag changes from ₹2380 to ₹1904. By what percent did it come down?
  40. 40.Change 35 m/s into km/h.

Answer key

  1. 10
  2. 1/10
  3. 321
  4. 55
  5. 32
  6. 35
  7. 120
  8. 20
  9. 50
  10. 40
  11. 1/6
  12. 6760
  13. 20
  14. 1760
  15. 18
  16. 11
  17. 12
  18. 6
  19. 114
  20. 120
  21. 261
  22. 78.4
  23. 64
  24. 686
  25. 112
  26. 8
  27. 196
  28. 2/27
  29. 72
  30. 720
  31. 24
  32. 6
  33. 80
  34. 6000
  35. 10
  36. 12
  37. 28
  38. 38
  39. 20
  40. 126

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