Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 64 · 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 6 cm long, 12 cm wide and 6 cm high. What is its total surface area (in sq cm)?
2. 2.By selling a pressure cooker for ₹1386, a shopkeeper makes a profit of 10%. What did the pressure cooker cost the shopkeeper (in ₹)?
3. 3.Aditya is 7 years older than Arjun. In 6 years, the sum of their ages will be 45. How old is Arjun now?
4. 4.Change 108 km/h into metres per second.
5. 5.A cricket bat bought for ₹600 is sold at a loss of 25%. What is the selling price (in ₹)?
6. 6.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
7. 7.Visitors to a science museum
   Jan: 125
   Feb: 75
   Mar: 175
   Apr: 50
   May: 75
   The number for Mar is what percent of the total?
8. 8.If 3 kg of rice costs ₹87, how many kg can you buy for ₹145?
9. 9.What is the difference between the compound interest and the simple interest on ₹10400 at 5% per year for 2 years (in ₹)?
10. 10.Rice at ₹76 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
11. 11.A hall floor is 150 cm long and 120 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
12. 12.A tap fills a tank in 18 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?
13. 13.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
14. 14.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
15. 15.After a 25% discount, a pressure cooker costs ₹2850. What was its marked price (in ₹)?
16. 16.Books sold by a shop
    Mon: 60
    Tue: 30
    Wed: 10
    Thu: 50
    Fri: 50
    Which day has the fewest books? (a) Wed (b) Fri (c) Mon (d) Thu
17. 17.A jug has 10 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
18. 18.Marks of 5 friends in a quiz: 14, 23, 14, 22, 67. What is their average mark?
19. 19.A study lamp is marked at ₹1175. The shop takes 20% off, and then a further 20% off the new price. How much do you pay (in ₹)?
20. 20.If 5 kg of rice costs ₹425, how many kg can you buy for ₹1105?
21. 21.What is the smallest number you must add to 968 so that it divides exactly by 9?
22. 22.Visitors to a science museum
    Jan: 30
    Feb: 30
    Mar: 50
    Apr: 20
    May: 70
    How many visitors are there in all?
23. 23.One number is 2 times another. Their difference is 33. What is the smaller number?
24. 24.A cylinder has a radius of 21 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
25. 25.Mangoes sold by a fruit seller
    Mon: 300
    Tue: 100
    Wed: 150
    Thu: 200
    Fri: 250
    Which day has the most mangoes? (a) Thu (b) Mon (c) Tue (d) Wed
26. 26.Which of these numbers divides exactly by 3? (a) 2179 (b) 9403 (c) 1554 (d) 4376
27. 27.12 ÷ 6 × 2 + 26 =
28. 28.The sum of two numbers is 54 and their difference is 36. What is the smaller number?
29. 29.The price of a bicycle is ₹1200. It goes up by 10%. What is the new price (in ₹)?
30. 30.What is the smallest number you must take away from 502 so that it divides exactly by 11?
31. 31.In how many years will ₹6100 earn ₹3965 as simple interest at 13% per year?
32. 32.Nisha starts a business with ₹17000. After 3 months, Kavya joins with ₹4000. At the end of the year the profit is ₹3400. What is Nisha’s share (in ₹)?
33. 33.A tap fills a tank in 6 hours. A leak at the bottom empties the full tank in 7 hours. With both open, how many hours does the tank take to fill?
34. 34.Aarav scored 7 marks out of 25 in a test. What percentage did Aarav score?
35. 35.A grocer mixes 3 kg of tea at ₹75 per kg with 8 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
36. 36.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
37. 37.A pipe (a cylinder) has a radius of 7 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
38. 38.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
39. 39.Diya puts ₹5200 in a bank at 4% simple interest per year. How much will she have after 2 years (in ₹)?
40. 40.By selling a cricket bat for ₹288, a shopkeeper makes a loss of 20%. What did the cricket bat cost the shopkeeper (in ₹)?

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