Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 698 · 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.What is the smallest number you must add to 998 so that it divides exactly by 9?
2. 2.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
3. 3.Two trains, 50 m and 175 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
4. 4.A town has 2580 people. Its population grows by 30%. How many people live there now?
5. 5.How many factors does 30 have?
6. 6.What is the difference between the compound interest and the simple interest on ₹40000 at 8% per year for 2 years (in ₹)?
7. 7.The length of a rectangle is 11 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
8. 8.Kabir’s father is four times as old as Kabir. The sum of their ages is 50 years. How old is Kabir?
9. 9.A jug has 50 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
10. 10.The average weight of 8 children is 30 kg. One child, who weighs 37 kg, leaves the group. What is the new average weight (in kg)?
11. 11.Find the HCF of 49 and 35.
12. 12.A boat goes 80 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
13. 13.Books sold by a shop
    Mon: 250
    Tue: 150
    Wed: 200
    Thu: 200
    Fri: 200
    How many more books are there for Thu than for Tue?
14. 14.A hall floor is 210 cm long and 120 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
15. 15.Two tanks hold 100 litres and 450 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
16. 16.Find the amount when ₹33375 is invested at 20% per year compound interest for 2 years (in ₹).
17. 17.Find the LCM of 7, 15 and 5.
18. 18.By selling a watch for ₹2016, a shopkeeper makes a profit of 20%. What did the watch cost the shopkeeper (in ₹)?
19. 19.The length of a rectangle is 3 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
20. 20.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 16 cm × 12 cm?
21. 21.33 + 4 × 11 − 11 =
22. 22.A hall floor is 240 cm long and 90 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
23. 23.(4 + 18) × 3 − 3 =
24. 24.What is the smallest number you must take away from 309 so that it divides exactly by 6?
25. 25.5 years ago, Aditya’s mother was four times as old as Aditya. The mother is 17 years old now. How old is Aditya now?
26. 26.What is the difference between the compound interest and the simple interest on ₹5000 at 4% per year for 2 years (in ₹)?
27. 27.A car goes 88 km on 4 litres of petrol. How far can it go on 14 litres (in km)?
28. 28.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 45 years. How old is Vivaan?
29. 29.Two tanks hold 405 litres and 180 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
30. 30.5 : 10 = 30 : ?
31. 31.Pipes A and B together fill a tank in 7 hours. Pipe A alone fills it in 8 hours. How many hours does pipe B alone take?
32. 32.The length of a rectangle is 14 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
33. 33.A car goes 110 km on 5 litres of petrol. How far can it go on 11 litres (in km)?
34. 34.Find the smallest number bigger than 15 that leaves a remainder of 1 when divided by 5, 3 or 15.
35. 35.What is the difference between the compound interest and the simple interest on ₹14800 at 15% per year for 2 years (in ₹)?
36. 36.The simple interest on ₹10100 for 1 year is ₹505. What is the rate of interest (% per year)?
37. 37.Change 30 m/s into km/h.
38. 38.Find the HCF of 99 and 55.
39. 39.A shopkeeper buys a watch for ₹180 and sells it for ₹162. Find the loss percent.
40. 40.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).

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