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Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 403 · 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 9 and 45 (that is, 9 : 45 = 45 : ?).
  2. 2.What is the smallest number you must add to 512 so that it divides exactly by 13?
  3. 3.Visitors to a science museum
    Jan: 20
    Feb: 20
    Mar: 15
    Apr: 25
    May: 20
    Which month has the fewest visitors?     (a) Apr (b) Mar (c) Feb (d) Jan
  4. 4.Rahul and Karan start a business with ₹14000 and ₹20000. They earn a profit of ₹13600. What is Karan’s share (in ₹)?
  5. 5.6 painters can paint a school in 18 days. How many days would 3 painters take, working at the same speed?
  6. 6.20% of a number is 90. What is the number?
  7. 7.Diya puts ₹19000 into a business for 5 months and Saanvi puts ₹10000 for 8 months. The profit is ₹8050. What is Diya’s share (in ₹)?
  8. 8.Diya puts ₹8000 into a business for 11 months and Kavya puts ₹11000 for 8 months. The profit is ₹1460. What is Diya’s share (in ₹)?
  9. 9.Manav puts ₹7000 into a business for 8 months and Ananya puts ₹19000 for 5 months. The profit is ₹117780. What is Manav’s share (in ₹)?
  10. 10.What is the smallest number you must add to 516 so that it divides exactly by 9?
  11. 11.Which is closest to 2009 ÷ 49? (a) 400 (b) 80 (c) 20 (d) 40
  12. 12.4/10 − 1/3 =
  13. 13.A fish tank is 70 cm long, 50 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.A car goes 84 km on 6 litres of petrol. How far can it go on 7 litres (in km)?
  15. 15.Which of these numbers divides exactly by 4? (a) 3019 (b) 3531 (c) 7617 (d) 9152
  16. 16.9 : 3 = 63 : ?
  17. 17.Write 23/50 as a percent.
  18. 18.Meera starts a business with ₹20000. After 2 months, Saanvi joins with ₹13000. At the end of the year the profit is ₹28860. What is Meera’s share (in ₹)?
  19. 19.Which is closest to 2007 ÷ 49? (a) 40 (b) 400 (c) 80 (d) 20
  20. 20.I think of a number, multiply it by 7 and then take away 17. The answer is 46. What is my number?
  21. 21.What is 5/7 of 210 students?
  22. 22.Find the LCM of 8 and 5.
  23. 23.Pipe A fills a tank in 21 hours and pipe B fills it in 28 hours. How many hours do both pipes take together?
  24. 24.A box is 8 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
  25. 25.What is the smallest number you must add to 445 so that it divides exactly by 3?
  26. 26.The average of 4 numbers is 37. When one more number is added, the average becomes 38. What number was added?
  27. 27.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  28. 28.A boat goes 48 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.Find the compound interest on ₹15625 at 8% per year for 3 years, added every year (in ₹).
  30. 30.Two tanks hold 40 litres and 50 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
  31. 31.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  32. 32.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  33. 33.How many factors does 75 have?
  34. 34.A jug has 40 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.Pipe A fills a tank in 5 hours and pipe B fills it in 20 hours. How many hours do both pipes take together?
  36. 36.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  37. 37.A rectangular field is 11 m long and 4 m wide. What is its area (in sq m)?
  38. 38.A study lamp bought for ₹1060 is sold at a loss of 15%. What is the selling price (in ₹)?
  39. 39.Which is closest to 700 + 905 + 597? (a) 2200 (b) 2100 (c) 2400 (d) 2300
  40. 40.Ananya’s batting average after 10 innings is 36 runs. How many runs must Ananya score in the next innings to raise the average to 39?

Answer key

  1. 225
  2. 8
  3. Mar
  4. 8000
  5. 36
  6. 450
  7. 4370
  8. 730
  9. 43680
  10. 6
  11. 40
  12. 1/15
  13. 70
  14. 98
  15. 9152
  16. 21
  17. 46
  18. 18720
  19. 40
  20. 9
  21. 150
  22. 40
  23. 12
  24. 128
  25. 2
  26. 42
  27. 65
  28. 9
  29. 4058
  30. 10
  31. 9
  32. 1386
  33. 6
  34. 52
  35. 4
  36. 72
  37. 44
  38. 901
  39. 2200
  40. 69

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