Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 343 · 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.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
2. 2.The simple interest on ₹800 for 3 years is ₹312. What is the rate of interest (% per year)?
3. 3.Marks of 4 friends in a quiz: 8, 12, 7, 61. What is their average mark?
4. 4.A pipe (a cylinder) has a radius of 9 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
5. 5.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
6. 6.Which is closest to 398 × 32? (Round each number first.) (a) 1200 (b) 24000 (c) 120000 (d) 12000
7. 7.Pipes A and B fill a tank in 3 and 4 hours. Pipe C empties the full tank in 2 hours. If all three are open, how many hours does the tank take to fill?
8. 8.Arjun has 20 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
9. 9.Find the smallest number bigger than 9 that leaves a remainder of 3 when divided by 9, 8 or 4.
10. 10.1/2 − 1/10 =
11. 11.A cylinder has a radius of 21 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
12. 12.Find the amount when ₹46592 is invested at 25% per year compound interest for 3 years (in ₹).
13. 13.A car goes 228 km on 12 litres of petrol. How far can it go on 22 litres (in km)?
14. 14.Isha can finish a job in 10 days and Rohan in 17 days. What fraction of the job do they finish if they work together for 1 day? =
15. 15.Trees planted by each class
    Class 6: 250
    Class 7: 350
    Class 8: 200
    Class 9: 150
    Class 10: 50
    How many trees are there in all?
16. 16.A 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
17. 17.Meera’s batting average after 6 innings is 32 runs. How many runs must Meera score in the next innings to raise the average to 36?
18. 18.What is 30% of 330?
19. 19.Two trains, 130 m and 115 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
20. 20.3/5 × 3/6 =
21. 21.A closed box is 12 cm long, 13 cm wide and 5 cm high. What is its total surface area (in sq cm)?
22. 22.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
23. 23.What is 30% of 90?
24. 24.A shopkeeper buys a bicycle for ₹1380 and sells it for ₹1104. Find the loss percent.
25. 25.Rice at ₹38 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
26. 26.What is the smallest number you must add to 814 so that it divides exactly by 8?
27. 27.A hostel has enough food for 2 students for 23 days. How many days will the same food last for 23 students?
28. 28.A cricket bat bought for ₹1260 is sold at a loss of 10%. What is the selling price (in ₹)?
29. 29.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?
30. 30.2 years ago, Pooja’s mother was three times as old as Pooja. The mother is 20 years old now. How old is Pooja now?
31. 31.Isha is 6 years older than Zoya. In 2 years, the sum of their ages will be 32. How old is Zoya now?
32. 32.Rice at ₹78 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
33. 33.Kabir cycles to his school at 26 km/h and comes back by the same road at 78 km/h. What is his average speed for the whole trip (in km/h)?
34. 34.By selling a study lamp for ₹242, a shopkeeper makes a profit of 10%. What did the study lamp cost the shopkeeper (in ₹)?
35. 35.How many factors does 55 have?
36. 36.Pipe A fills a tank in 6 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
37. 37.Pooja and Farhan together finish a job in 6 days. Pooja alone takes 18 days. How many days would Farhan take alone?
38. 38.Which of these numbers divides exactly by 4? (a) 3703 (b) 2089 (c) 6796 (d) 5826
39. 39.1/3 + 7/11 =
40. 40.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?

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