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Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 52 · 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 pen costs ₹9 more than a pencil. 6 pens and 7 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  2. 2.Rohan, Kavya and Aarav invest ₹13000, ₹9000 and ₹10000 in a shop. The profit is ₹6400. What is Aarav’s share (in ₹)?
  3. 3.A town has 2200 people. Its population grows by 15%. How many people live there now?
  4. 4.A car goes 150 km on 10 litres of petrol. How far can it go on 5 litres (in km)?
  5. 5.By selling a bicycle for ₹360, a shopkeeper makes a loss of 10%. What did the bicycle cost the shopkeeper (in ₹)?
  6. 6.Which is closest to 896 × 59? (Round each number first.) (a) 108000 (b) 54000 (c) 5400 (d) 540000
  7. 7.50 − 10 ÷ 2 × 8 =
  8. 8.Find the smallest number bigger than 10 that leaves a remainder of 1 when divided by 6, 8 or 10.
  9. 9.Pipe A fills a tank in 6 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  10. 10.Diya can finish a job in 20 days and Kabir in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Kabir cycles to his school at 63 km/h and comes back by the same road at 18 km/h. What is his average speed for the whole trip (in km/h)?
  12. 12.A car runs for 4 hours at 76 km/h and then for 1 hour at 31 km/h. What is its average speed for the whole journey (in km/h)?
  13. 13.Two discounts of 50% and 20%, one after the other, are the same as one discount of what percent? =
  14. 14.If 10 bottles of juice cost ₹580, how much do 7 bottles of juice cost (in ₹)?
  15. 15.Sneha can finish a job in 11 days and Dev in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.The sum of two numbers is 17 and their difference is 3. What is the smaller number?
  17. 17.A garden is 17 m long and 12 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  18. 18.What percent of 40 is 34?
  19. 19.A bicycle bought for ₹540 is sold at a loss of 25%. What is the selling price (in ₹)?
  20. 20.11 painters can paint a school in 10 days. How many days would 22 painters take, working at the same speed?
  21. 21.Priya can finish a job in 15 days and Ishaan in 21 days. Priya works alone for 10 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  22. 22.80% of a number is 440. What is the number?
  23. 23.The average of 6 numbers is 27. When one more number is added, the average becomes 33. What number was added?
  24. 24.Rohan’s batting average after 11 innings is 20 runs. How many runs must Rohan score in the next innings to raise the average to 24?
  25. 25.A shop sells an average of 42 kg of sugar a day for 3 days, and then 49 kg a day for the next 4 days. What is the average sale per day for all 7 days (in kg)?
  26. 26.Pipes A and B together fill a tank in 5 hours. Pipe A alone fills it in 30 hours. How many hours does pipe B alone take?
  27. 27.A bus runs at 68 km/h. How far does it go in 15 minutes (in km)?
  28. 28.Students who chose each subject
    Maths: 120
    Science: 160
    English: 240
    Hindi: 80
    Art: 200
    How many more students are there for English than for Hindi?
  29. 29.Ishaan and Kabir start a business with ₹20000 and ₹9000. They earn a profit of ₹31900. What is Kabir’s share (in ₹)?
  30. 30.A tap fills a tank in 6 hours. A leak at the bottom empties the full tank in 8 hours. With both open, how many hours does the tank take to fill?
  31. 31.Vivaan and Dev start a business with ₹17000 and ₹11000. They earn a profit of ₹50400. What is Dev’s share (in ₹)?
  32. 32.What is the difference between the compound interest and the simple interest on ₹48000 at 5% per year for 2 years (in ₹)?
  33. 33.Manav can finish a job in 7 days and Karan in 14 days. Manav works alone for 2 days and then stops. Karan finishes the rest. How many days does Karan take?
  34. 34.Find the HCF of 45 and 63.
  35. 35.A pair of shoes bought for ₹860 is sold at a loss of 40%. What is the selling price (in ₹)?
  36. 36.1/3 of 30 + 3 × 2 =
  37. 37.A fish tank is 80 cm long, 100 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.Trees planted by each class
    Class 6: 200
    Class 7: 200
    Class 8: 150
    Class 9: 200
    Class 10: 250
    What is the average number of trees per class?
  39. 39.What is 1/3 of 24 kg?
  40. 40.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 5
  2. 2000
  3. 2530
  4. 75
  5. 400
  6. 54000
  7. 10
  8. 121
  9. 4
  10. 4
  11. 28
  12. 67
  13. 60
  14. 406
  15. 32/55
  16. 7
  17. 62
  18. 85
  19. 405
  20. 5
  21. 7
  22. 550
  23. 69
  24. 68
  25. 46
  26. 6
  27. 17
  28. 160
  29. 9900
  30. 24
  31. 19800
  32. 120
  33. 10
  34. 9
  35. 516
  36. 16
  37. 480
  38. 200
  39. 8
  40. 3

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