Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 470 · 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.Pipes A and B fill a tank in 6 and 20 hours. Pipe C empties the full tank in 5 hours. If all three are open, how many hours does the tank take to fill?
2. 2.A cricket bat bought for ₹500 is sold at a loss of 40%. What is the selling price (in ₹)?
3. 3.A bus runs at 88 km/h. How far does it go in 15 minutes (in km)?
4. 4.A closed box is 18 cm long, 10 cm wide and 10 cm high. What is its total surface area (in sq cm)?
5. 5.How many factors does 38 have?
6. 6.78 − 24 ÷ 3 × 9 =
7. 7.Tara, Diya and Aarav invest ₹2000, ₹8000 and ₹3000 in a shop. The profit is ₹13000. What is Aarav’s share (in ₹)?
8. 8.Change 36 km/h into metres per second.
9. 9.A school bag marked at ₹320 is sold for ₹224. What is the discount percent?
10. 10.A pipe (a cylinder) has a radius of 14 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
11. 11.A closed box is 20 cm long, 14 cm wide and 2 cm high. What is its total surface area (in sq cm)?
12. 12.A price goes up by 15% and then goes up by 15% more. By what percent has it gone up in all? =
13. 13.The price of a school bag changes from ₹4840 to ₹5324. By what percent did it go up?
14. 14.What is the smallest number you must take away from 407 so that it divides exactly by 9?
15. 15.A shop sells 2720 cups of tea a month. Next month it sells 30% more. How many cups does it sell next month?
16. 16.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
17. 17.Books sold by a shop
    Mon: 60
    Tue: 60
    Wed: 60
    Thu: 30
    Fri: 90
    Which day has the fewest books? (a) Fri (b) Tue (c) Wed (d) Thu
18. 18.What is the smallest number you must add to 220 so that it divides exactly by 8?
19. 19.A rectangular field is 37 m long and 8 m wide. What is its area (in sq m)?
20. 20.Kabir cycles to his school at 66 km/h and comes back by the same road at 22 km/h. What is his average speed for the whole trip (in km/h)?
21. 21.A car goes 81 km on 9 litres of petrol. How far can it go on 2 litres (in km)?
22. 22.Diya takes 50 seconds and Arjun takes 75 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?
23. 23.A car runs for 2 hours at 61 km/h and then for 2 hours at 43 km/h. What is its average speed for the whole journey (in km/h)?
24. 24.How many factors does 67 have?
25. 25.A bus runs at 48 km/h. How far does it go in 90 minutes (in km)?
26. 26.Write 8/25 as a percent.
27. 27.Find the HCF of 54 and 12.
28. 28.A 33-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
29. 29.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
30. 30.The price of a school bag changes from ₹2400 to ₹2640. By what percent did it go up?
31. 31.A hall floor is 100 cm long and 75 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
32. 32.How many minutes does a car take to go 78 km at 36 km/h?
33. 33.A car goes 90 km on 9 litres of petrol. How far can it go on 3 litres (in km)?
34. 34.The length of a rectangle is 2 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
35. 35.Saanvi can finish a job in 20 days and Meera in 25 days. Saanvi works alone for 4 days and then stops. Meera finishes the rest. How many days does Meera take?
36. 36.A cylinder has a radius of 7 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
37. 37.Round 25241 to the nearest ten.
38. 38.7 years ago, Dev’s mother was twice as old as Dev. The mother is 15 years old now. How old is Dev now?
39. 39.The average weight of 7 children is 48 kg. One child, who weighs 66 kg, leaves the group. What is the new average weight (in kg)?
40. 40.10 : 2 = 80 : ?

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