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Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 10 · 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.Which is closest to 105 + 195 + 305? (a) 700 (b) 600 (c) 800 (d) 500
  2. 2.Rice at ₹66 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  3. 3.7 × (30 − 12) + 10 ÷ 5 =
  4. 4.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  5. 5.Isha can finish a job in 6 days and Rahul in 22 days. Isha works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  6. 6.Arjun takes 36 seconds and Ishaan 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?
  7. 7.Zoya is 9 years older than Dev. In 3 years, the sum of their ages will be 57. How old is Dev now?
  8. 8.By selling a school bag for ₹2001, a shopkeeper makes a profit of 15%. What did the school bag cost the shopkeeper (in ₹)?
  9. 9.A tap fills a tank in 16 hours. A leak at the bottom empties the full tank in 20 hours. With both open, how many hours does the tank take to fill?
  10. 10.A price goes up by 40% and then goes up by 10% more. By what percent has it gone up in all? =
  11. 11.A rectangle has an area of 442 sq cm and a length of 34 cm. What is its perimeter (in cm)?
  12. 12.One number is 6 times another. Their difference is 55. What is the smaller number?
  13. 13.5 × ? − 21 = 54
  14. 14.Change 36 km/h into metres per second.
  15. 15.Pipes A and B fill a tank in 4 and 6 hours. Pipe C empties the full tank in 3 hours. If all three are open, how many hours does the tank take to fill?
  16. 16.Find the HCF of 45 and 18.
  17. 17.How many factors does 71 have?
  18. 18.Arjun and Manav start a business with ₹20000 and ₹11000. They earn a profit of ₹21700. What is Manav’s share (in ₹)?
  19. 19.The ratio of boys to girls in a class is 9 : 2. There are 81 boys. How many girls are there?
  20. 20.A pen costs ₹2 more than a pencil. 4 pens and 4 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  21. 21.A tap fills a tank in 6 hours. A leak at the bottom empties the full tank in 18 hours. With both open, how many hours does the tank take to fill?
  22. 22.Students who chose each subject
    Maths: 120
    Science: 90
    English: 120
    Hindi: 150
    Art: 120
    The number for English is what percent of the total?
  23. 23.6 × (14 − 12) + 8 ÷ 2 =
  24. 24.By selling a bicycle for ₹525, a shopkeeper makes a profit of 25%. What did the bicycle cost the shopkeeper (in ₹)?
  25. 25.Saanvi takes 48 seconds and Aarav takes 30 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?
  26. 26.150% of a number is 693. What is the number?
  27. 27.A pair of shoes marked at ₹4420 is sold for ₹2652. What is the discount percent?
  28. 28.Round 89672 to the nearest thousand.
  29. 29.Dev can finish a job in 9 days and Karan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Ananya can finish a job in 15 days and Rohan in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  31. 31.A car runs for 1 hour at 42 km/h and then for 2 hours at 63 km/h. What is its average speed for the whole journey (in km/h)?
  32. 32.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  33. 33.A price comes down by 30% and then comes down by 50% more. By what percent has it come down in all? =
  34. 34.2 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 26 years old now. How old is Vivaan now?
  35. 35.The perimeter of a square is 108 cm. What is its area (in sq cm)?
  36. 36.A fish tank is 70 cm long, 90 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  37. 37.Karan can finish a job in 19 days and Aarav in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.The simple interest on ₹19300 for 4 years is ₹10036. What is the rate of interest (% per year)?
  39. 39.A hall floor is 175 cm long and 75 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
  40. 40.A shopkeeper buys a pair of shoes for ₹1640 and sells it for ₹1804. Find the profit percent.

Answer key

  1. 600
  2. 15
  3. 128
  4. 176
  5. 11
  6. 180
  7. 21
  8. 1740
  9. 80
  10. 54
  11. 94
  12. 11
  13. 15
  14. 10
  15. 12
  16. 9
  17. 2
  18. 7700
  19. 18
  20. 4
  21. 9
  22. 20
  23. 16
  24. 420
  25. 240
  26. 462
  27. 40
  28. 90000
  29. 171/28
  30. 9/20
  31. 56
  32. 300
  33. 65
  34. 14
  35. 729
  36. 504
  37. 48/95
  38. 13
  39. 21
  40. 10

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