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Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 30 · 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.A hall floor is 210 cm long and 90 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
  2. 2.58 − 56 ÷ 8 × 3 =
  3. 3.Three temple bells ring every 18, 8 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
  4. 4.Find the LCM of 8 and 6.
  5. 5.Ishaan’s batting average after 11 innings is 22 runs. How many runs must Ishaan score in the next innings to raise the average to 23?
  6. 6.Marks of 6 friends in a quiz: 43, 65, 68, 45, 63, 64. What is their average mark?
  7. 7.Diya puts ₹500 in a bank at 2% simple interest per year. How much will she have after 2 years (in ₹)?
  8. 8.The length of a rectangle is 8 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  9. 9.A bicycle is marked at ₹1440. The shop gives a 5% discount. How much do you pay (in ₹)?
  10. 10.Which of these numbers divides exactly by 8? (a) 7904 (b) 9750 (c) 3661 (d) 9923
  11. 11.A tap fills a tank in 5 hours. A leak at the bottom empties the full tank in 30 hours. With both open, how many hours does the tank take to fill?
  12. 12.A shopkeeper buys a cricket bat for ₹600 and sells it for ₹450. Find the loss percent.
  13. 13.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  14. 14.A shop sells an average of 62 kg of sugar a day for 2 days, and then 42 kg a day for the next 3 days. What is the average sale per day for all 5 days (in kg)?
  15. 15.Dev can finish a job in 4 days and Aditya in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.A 25-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  17. 17.9 years ago, Aarav’s mother was four times as old as Aarav. The mother is 21 years old now. How old is Aarav now?
  18. 18.Books sold by a shop
    Mon: 20
    Tue: 20
    Wed: 15
    Thu: 35
    Fri: 10
    Which day has the most books?
    (a) Thu (b) Wed (c) Fri (d) Tue
  19. 19.1/8 + 1/2 =
  20. 20.Manav’s father is three times as old as Manav. The sum of their ages is 40 years. How old is Manav?
  21. 21.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A pipe (a cylinder) has a radius of 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  23. 23.A study lamp bought for ₹1220 is sold at a loss of 40%. What is the selling price (in ₹)?
  24. 24.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  25. 25.6 years ago, Diya’s mother was twice as old as Diya. The mother is 20 years old now. How old is Diya now?
  26. 26.Sneha and Aarav start a business with ₹15000 and ₹3000. They earn a profit of ₹2400. What is Aarav’s share (in ₹)?
  27. 27.Which is closest to 296 × 70? (Round each number first.) (a) 21000 (b) 2100 (c) 42000 (d) 210000
  28. 28.12 ÷ 4 × 2 + 1 =
  29. 29.Pipes A and B fill a tank in 6 and 18 hours. Pipe C empties the full tank in 9 hours. If all three are open, how many hours does the tank take to fill?
  30. 30.Farhan takes 60 seconds and Dev takes 36 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.What is the smallest number you must add to 354 so that it divides exactly by 8?
  32. 32.The ratio of boys to girls in a class is 1 : 7. There are 5 boys. How many girls are there?
  33. 33.The price of a school bag changes from ₹1660 to ₹2075. By what percent did it go up?
  34. 34.5% of a number is 9. What is the number?
  35. 35.By selling a cricket bat for ₹1140, a shopkeeper makes a loss of 5%. What did the cricket bat cost the shopkeeper (in ₹)?
  36. 36.2/4 − 1/11 =
  37. 37.If 5 erasers cost ₹195, how much do 2 erasers cost (in ₹)?
  38. 38.A cylinder has a radius of 7 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  39. 39.Meera and Farhan start a business with ₹3000 and ₹2000. They earn a profit of ₹4000. What is Farhan’s share (in ₹)?
  40. 40.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).

Answer key

  1. 21
  2. 37
  3. 72
  4. 24
  5. 34
  6. 58
  7. 520
  8. 21
  9. 1368
  10. 7904
  11. 6
  12. 25
  13. 225
  14. 50
  15. 11/28
  16. 10
  17. 12
  18. Thu
  19. 5/8
  20. 10
  21. 14
  22. 1672
  23. 732
  24. 12
  25. 13
  26. 400
  27. 21000
  28. 7
  29. 9
  30. 180
  31. 6
  32. 35
  33. 25
  34. 180
  35. 1200
  36. 9/22
  37. 78
  38. 3080
  39. 1600
  40. 175

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