Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 799 · 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.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
2. 2.The average weight of 12 children is 35 kg. One child, who weighs 46 kg, leaves the group. What is the new average weight (in kg)?
3. 3.A hall floor is 420 cm long and 120 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
4. 4.Vivaan and Isha start a business with ₹6000 and ₹15000. They earn a profit of ₹3500. What is Isha’s share (in ₹)?
5. 5.In 18 years, Kabir will be three times as old as Kabir was 6 years ago. How old is Kabir now?
6. 6.A school bag is marked at ₹2260. The shop gives a 50% discount. How much do you pay (in ₹)?
7. 7.Pipe A fills a tank in 6 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
8. 8.Trees planted by each class
   Class 6: 120
   Class 7: 120
   Class 8: 80
   Class 9: 160
   Class 10: 320
   What is the average number of trees per class?
9. 9.One number is 4 times another. Their difference is 111. What is the smaller number?
10. 10.Find the LCM of 27 and 12.
11. 11.What is the smallest number you must take away from 453 so that it divides exactly by 13?
12. 12.Pipes A and B fill a tank in 8 and 12 hours. Pipe C empties the full tank in 6 hours. If all three are open, how many hours does the tank take to fill?
13. 13.A triangle has a base of 4 cm and a height of 4 cm. What is its area (in sq cm)?
14. 14.After a 5% discount, a pair of shoes costs ₹3686. What was its marked price (in ₹)?
15. 15.Three temple bells ring every 18, 4 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
16. 16.Find the LCM of 10, 3 and 9.
17. 17.A 35-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
18. 18.A tap fills a tank in 20 hours. A leak at the bottom empties the full tank in 40 hours. With both open, how many hours does the tank take to fill?
19. 19.Change 18 km/h into metres per second.
20. 20.Find the compound interest on ₹32000 at 5% per year for 3 years, added every year (in ₹).
21. 21.A shop sells 4760 cups of tea a month. Next month it sells 10% more. How many cups does it sell next month?
22. 22.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
23. 23.Change 40 m/s into km/h.
24. 24.Which is closest to 496 × 20? (Round each number first.) (a) 10000 (b) 1000 (c) 20000 (d) 100000
25. 25.If 9 kg of rice costs ₹468, how many kg can you buy for ₹572?
26. 26.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
27. 27.The average of 6 numbers is 26. When one more number is added, the average becomes 30. What number was added?
28. 28.Find the HCF of 8 and 36.
29. 29.3 : 15 = 27 : ?
30. 30.The perimeter of a square is 40 cm. What is its area (in sq cm)?
31. 31.Find the smallest number bigger than 9 that leaves a remainder of 2 when divided by 4, 8 or 9.
32. 32.Manav has 18 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
33. 33.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
34. 34.Find the simple interest on ₹14200 at 8% per year for 3 years (in ₹).
35. 35.4.65 + 8.6 =
36. 36.A car runs for 1 hour at 68 km/h and then for 1 hour at 62 km/h. What is its average speed for the whole journey (in km/h)?
37. 37.Pooja’s father is twice as old as Pooja. The sum of their ages is 36 years. How old is Pooja?
38. 38.The sum of two numbers is 26 and their difference is 8. What is the smaller number?
39. 39.A tap fills a tank in 12 hours. A leak at the bottom empties the full tank in 24 hours. With both open, how many hours does the tank take to fill?
40. 40.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 8 cm × 6 cm?

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