Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 422 · 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 amount when ₹825 is invested at 20% per year compound interest for 2 years (in ₹).
2. 2.A shopkeeper buys a watch for ₹940 and sells it for ₹658. Find the loss percent.
3. 3.2 years ago, Kabir’s mother was four times as old as Kabir. The mother is 14 years old now. How old is Kabir now?
4. 4.How many factors does 69 have?
5. 5.Find the HCF of 10 and 14.
6. 6.What is the smallest number you must take away from 485 so that it divides exactly by 12?
7. 7.Solve for x: 9(x + 1) = 7x + 13. What is x?
8. 8.3 years ago, Pooja’s mother was twice as old as Pooja. The mother is 13 years old now. How old is Pooja now?
9. 9.The average weight of 8 children is 39 kg. One child, who weighs 46 kg, leaves the group. What is the new average weight (in kg)?
10. 10.Solve for x: 4(x + 4) = x + 28. What is x?
11. 11.Kabir cycles to his school at 63 km/h and comes back by the same road at 18 km/h. What is his average speed for the whole trip (in km/h)?
12. 12.The perimeter of a square is 48 cm. What is its area (in sq cm)?
13. 13.8 painters can paint a school in 10 days. How many days would 4 painters take, working at the same speed?
14. 14.Visitors to a science museum
    Jan: 200
    Feb: 80
    Mar: 160
    Apr: 120
    May: 240
    How many more visitors are there for Jan than for Feb?
15. 15.A school bag is marked at ₹2160. The shop gives a 30% discount. How much do you pay (in ₹)?
16. 16.A fish tank is 50 cm long, 80 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
17. 17.Kabir cycles to his school at 33 km/h and comes back by the same road at 66 km/h. What is his average speed for the whole trip (in km/h)?
18. 18.A car runs for 1 hour at 66 km/h and then for 1 hour at 68 km/h. What is its average speed for the whole journey (in km/h)?
19. 19.Pipes A and B fill a tank in 9 and 18 hours. Pipe C empties the full tank in 12 hours. If all three are open, how many hours does the tank take to fill?
20. 20.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
21. 21.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
22. 22.Meera’s batting average after 8 innings is 31 runs. How many runs must Meera score in the next innings to raise the average to 36?
23. 23.12 : 8 = 36 : ?
24. 24.How many factors does 89 have?
25. 25.A box is 3 cm long, 9 cm wide and 12 cm high. What is its volume (in cubic cm)?
26. 26.Diya puts ₹11000 in a bank at 4% simple interest per year. How much will she have after 1 year (in ₹)?
27. 27.Find the compound interest on ₹4752 at 25% per year for 2 years, added every year (in ₹).
28. 28.Diya and Dev start a business with ₹16000 and ₹5000. They earn a profit of ₹35700. What is Dev’s share (in ₹)?
29. 29.Which is closest to 899 × 30? (Round each number first.) (a) 270000 (b) 27000 (c) 54000 (d) 2700
30. 30.Pipes A and B together fill a tank in 3 hours. Pipe A alone fills it in 4 hours. How many hours does pipe B alone take?
31. 31.A tap fills a tank in 12 hours. A leak at the bottom empties the full tank in 18 hours. With both open, how many hours does the tank take to fill?
32. 32.Two trains, 60 m and 300 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
33. 33.Find the amount when ₹31250 is invested at 8% per year compound interest for 3 years (in ₹).
34. 34.What is the smallest number you must add to 617 so that it divides exactly by 7?
35. 35.A fish tank is 90 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
36. 36.In 2 years, Ananya will be twice as old as Ananya was 3 years ago. How old is Ananya now?
37. 37.The price of a school bag changes from ₹2620 to ₹3406. By what percent did it go up?
38. 38.Tara puts ₹8000 into a business for 4 months and Kabir puts ₹4000 for 5 months. The profit is ₹1040. What is Tara’s share (in ₹)?
39. 39.Mangoes sold by a fruit seller
    Mon: 160
    Tue: 200
    Wed: 120
    Thu: 160
    Fri: 160
    How many more mangoes are there for Tue than for Wed?
40. 40.Which is closest to 499 + 496 + 805? (a) 1700 (b) 1800 (c) 2000 (d) 1900

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