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Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 573 · 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.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.8.09 + 5.4 =
  3. 3.A garden is 40 m long and 16 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  4. 4.Two discounts of 10% and 25%, one after the other, are the same as one discount of what percent? =
  5. 5.Which is closest to 1495 ÷ 49? (a) 300 (b) 15 (c) 30 (d) 60
  6. 6.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  7. 7.The simple interest on ₹4400 for 2 years is ₹880. What is the rate of interest (% per year)?
  8. 8.Saanvi can finish a job in 21 days and Kavya in 14 days. Saanvi works alone for 12 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  9. 9.A cylinder has a radius of 21 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  10. 10.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  11. 11.A boat goes 45 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.Change 90 km/h into metres per second.
  13. 13.By selling a school bag for ₹1110, a shopkeeper makes a loss of 25%. What did the school bag cost the shopkeeper (in ₹)?
  14. 14.Three temple bells ring every 8, 30 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
  15. 15.A 99-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  16. 16.Zoya is 9 years older than Kabir. In 8 years, the sum of their ages will be 71. How old is Kabir now?
  17. 17.Two tanks hold 35 litres and 10 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
  18. 18.A closed box is 12 cm long, 15 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  19. 19.Change 35 m/s into km/h.
  20. 20.A school bag bought for ₹860 is sold at a profit of 5%. What is the selling price (in ₹)?
  21. 21.Two discounts of 25% and 20%, one after the other, are the same as one discount of what percent? =
  22. 22.Divide ₹468 between Pooja and Aarav in the ratio 1 : 8. How much does Aarav get (in ₹)?
  23. 23.A grocer mixes 4 kg of tea at ₹41 per kg with 2 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.In how many years will ₹18300 earn ₹4026 as simple interest at 11% per year?
  25. 25.Divide ₹126 between Isha and Kabir in the ratio 5 : 1. How much does Isha get (in ₹)?
  26. 26.A garden is 10 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  27. 27.Aarav puts ₹12000 into a business for 12 months and Vivaan puts ₹10000 for 10 months. The profit is ₹61000. What is Aarav’s share (in ₹)?
  28. 28.Kabir cycles to his school at 60 km/h and comes back by the same road at 30 km/h. What is his average speed for the whole trip (in km/h)?
  29. 29.Three temple bells ring every 4, 6 and 18 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
  30. 30.Pipes A and B fill a tank in 4 and 8 hours. Pipe C empties the full tank in 24 hours. If all three are open, how many hours does the tank take to fill?
  31. 31.Students who chose each subject
    Maths: 75
    Science: 25
    English: 150
    Hindi: 125
    Art: 125
    Which subject has the most students?     (a) Art (b) Hindi (c) Maths (d) English
  32. 32.A fish tank is 60 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.Which is closest to 302 + 96 + 403? (a) 800 (b) 700 (c) 900 (d) 1000
  34. 34.14.4 ÷ 4 =
  35. 35.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 49. What is the other number?
  36. 36.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 60 km upstream and come back?
  37. 37.The price of a school bag changes from ₹760 to ₹874. By what percent did it go up?
  38. 38.Two tanks hold 15 litres and 10 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
  39. 39.The average of 8 numbers is 23. When one more number is added, the average becomes 25. What number was added?
  40. 40.The perimeter of a square is 112 cm. What is its area (in sq cm)?

Answer key

  1. 69
  2. 13.49
  3. 116
  4. 32.5
  5. 30
  6. 486
  7. 10
  8. 6
  9. 20790
  10. 88
  11. 14
  12. 25
  13. 1480
  14. 120
  15. 27
  16. 23
  17. 5
  18. 522
  19. 126
  20. 903
  21. 40
  22. 416
  23. 36
  24. 2
  25. 105
  26. 132
  27. 36000
  28. 40
  29. 36
  30. 3
  31. English
  32. 36
  33. 800
  34. 3.6
  35. 42
  36. 64
  37. 15
  38. 5
  39. 41
  40. 784

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