Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 66 · 40 questions

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.

1. 1.Two tanks hold 270 litres and 210 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
2. 2.Kabir cycles to his school at 35 km/h and comes back by the same road at 63 km/h. What is his average speed for the whole trip (in km/h)?
3. 3.Kabir can finish a job in 7 days and Diya in 6 days. What fraction of the job do they finish if they work together for 3 days? =
4. 4.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the stream (in km/h)?
5. 5.The simple interest on ₹3600 for 1 year is ₹396. What is the rate of interest (% per year)?
6. 6.Pipes A and B together fill a tank in 7 hours. Pipe A alone fills it in 8 hours. How many hours does pipe B alone take?
7. 7.The average weight of 8 children is 45 kg. One child, who weighs 52 kg, leaves the group. What is the new average weight (in kg)?
8. 8.9 × (17 − 13) + 12 ÷ 6 =
9. 9.The price of a school bag changes from ₹2980 to ₹2235. By what percent did it come down?
10. 10.What is 120% of 415?
11. 11.1.75 + 8.6 =
12. 12.If 7 kg of rice costs ₹245, how many kg can you buy for ₹455?
13. 13.What is 10% of 160?
14. 14.A car runs for 1 hour at 51 km/h and then for 2 hours at 45 km/h. What is its average speed for the whole journey (in km/h)?
15. 15.A fish tank is 70 cm long, 70 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
16. 16.The average of 6 numbers is 17. When one more number is added, the average becomes 19. What number was added?
17. 17.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
18. 18.Kabir cycles to his school at 14 km/h and comes back by the same road at 84 km/h. What is his average speed for the whole trip (in km/h)?
19. 19.3/4 × 2/8 =
20. 20.The ratio of boys to girls in a class is 4 : 7. There are 24 boys. How many girls are there?
21. 21.Marks of 4 friends in a quiz: 18, 15, 23, 44. What is their average mark?
22. 22.What is the difference between the compound interest and the simple interest on ₹1400 at 20% per year for 2 years (in ₹)?
23. 23.Sneha starts a business with ₹4000. After 6 months, Kabir joins with ₹6000. At the end of the year the profit is ₹980. What is Sneha’s share (in ₹)?
24. 24.A car goes 216 km on 12 litres of petrol. How far can it go on 31 litres (in km)?
25. 25.What is 30% of 120?
26. 26.A rectangular field is 36 m long and 12 m wide. What is its area (in sq m)?
27. 27.In 19 years, Farhan will be twice as old as Farhan was 3 years ago. How old is Farhan now?
28. 28.Which is closest to 797 + 503 + 898? (a) 2200 (b) 2300 (c) 2400 (d) 2100
29. 29.The average weight of 5 children is 37 kg. One child, who weighs 41 kg, leaves the group. What is the new average weight (in kg)?
30. 30.Rohan’s batting average after 13 innings is 31 runs. How many runs must Rohan score in the next innings to raise the average to 35?
31. 31.25.9 ÷ 7 =
32. 32.Pooja and Isha start a business with ₹19000 and ₹7000. They earn a profit of ₹2600. What is Isha’s share (in ₹)?
33. 33.Find the LCM of 5, 7 and 2.
34. 34.Which of these numbers divides exactly by 11? (a) 8448 (b) 7333 (c) 5128 (d) 3415
35. 35.A box is 4 cm long, 14 cm wide and 10 cm high. What is its volume (in cubic cm)?
36. 36.Marks of 5 friends in a quiz: 93, 75, 101, 79, 82. What is their average mark?
37. 37.A cylinder has a radius of 7 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
38. 38.Find the HCF of 15 and 35.
39. 39.Which is closest to 1409 ÷ 21? (a) 35 (b) 70 (c) 140 (d) 700
40. 40.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?

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