Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 645 · 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.A closed box is 12 cm long, 6 cm wide and 2 cm high. What is its total surface area (in sq cm)?
2. 2.A closed box is 4 cm long, 9 cm wide and 5 cm high. What is its total surface area (in sq cm)?
3. 3.Aditya takes 45 seconds and Kabir 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?
4. 4.In how many years will ₹14100 earn ₹5922 as simple interest at 14% per year?
5. 5.The average weight of 6 children is 36 kg. One child, who weighs 46 kg, leaves the group. What is the new average weight (in kg)?
6. 6.Pipe A fills a tank in 8 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
7. 7.Rice at ₹32 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
8. 8.The price of a school bag changes from ₹4200 to ₹3990. By what percent did it come down?
9. 9.The length of a rectangle is 15 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
10. 10.A shop sells an average of 43 kg of sugar a day for 6 days, and then 47 kg a day for the next 6 days. What is the average sale per day for all 12 days (in kg)?
11. 11.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 10 cm × 12 cm?
12. 12.19.6 ÷ 4 =
13. 13.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
14. 14.Two tanks hold 100 litres and 160 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
15. 15.If 8 kg of rice costs ₹304, how many kg can you buy for ₹190?
16. 16.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
17. 17.Pipes A and B fill a tank in 9 and 18 hours. Pipe C empties the full tank in 7 hours. If all three are open, how many hours does the tank take to fill?
18. 18.Rice at ₹78 per kg is mixed with rice at ₹141 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
19. 19.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
20. 20.24 ÷ 4 × 3 + 14 =
21. 21.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
22. 22.A shop sells an average of 36 kg of sugar a day for 2 days, and then 43 kg a day for the next 5 days. What is the average sale per day for all 7 days (in kg)?
23. 23.5 × (11 − 9) + 70 ÷ 7 =
24. 24.Rohan, Aarav and Vivaan invest ₹14000, ₹7000 and ₹17000 in a shop. The profit is ₹7600. What is Vivaan’s share (in ₹)?
25. 25.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
26. 26.4 × (26 − 3) + 55 ÷ 5 =
27. 27.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
28. 28.A grocer mixes 6 kg of tea at ₹88 per kg with 2 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
29. 29.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
30. 30.What is 75% of 28?
31. 31.By selling a watch for ₹1342, a shopkeeper makes a profit of 10%. What did the watch cost the shopkeeper (in ₹)?
32. 32.6 painters can paint a school in 26 days. How many days would 12 painters take, working at the same speed?
33. 33.Find the LCM of 3 and 2.
34. 34.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
35. 35.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
36. 36.Which is closest to 401 × 82? (Round each number first.) (a) 3200 (b) 64000 (c) 320000 (d) 32000
37. 37.Three temple bells ring every 6, 10 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
38. 38.A fish tank is 80 cm long, 80 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
39. 39.The perimeter of a square is 40 cm. What is its area (in sq cm)?
40. 40.If 11 bottles of juice cost ₹187, how much do 6 bottles of juice cost (in ₹)?

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