Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 22 · 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.Tara takes 45 seconds and Kabir takes 75 seconds to run once round a track. They start together from the start line. After how many seconds will they first be at the start line together again?
2. 2.Find the smallest number bigger than 9 that leaves a remainder of 1 when divided by 9, 4 or 8.
3. 3.What is the smallest number you must take away from 901 so that it divides exactly by 7?
4. 4.A fish tank is 110 cm long, 50 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
5. 5.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
6. 6.Two tanks hold 270 litres and 60 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
7. 7.20% of a number is 98. What is the number?
8. 8.Find the amount when ₹31875 is invested at 4% per year compound interest for 2 years (in ₹).
9. 9.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its perimeter (in cm)?
10. 10.Find the compound interest on ₹24000 at 15% per year for 3 years, added every year (in ₹).
11. 11.What is 60% of 200?
12. 12.Find the amount when ₹48900 is invested at 10% per year compound interest for 2 years (in ₹).
13. 13.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
14. 14.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
15. 15.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?
16. 16.What is the difference between the compound interest and the simple interest on ₹40000 at 12% per year for 2 years (in ₹)?
17. 17.A hostel has enough food for 7 students for 28 days. How many days will the same food last for 14 students?
18. 18.Pipes A and B together fill a tank in 3 hours. Pipe A alone fills it in 6 hours. How many hours does pipe B alone take?
19. 19.A bus runs at 80 km/h. How far does it go in 30 minutes (in km)?
20. 20.Three temple bells ring every 30, 4 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
21. 21.Visitors to a science museum
    Jan: 100
    Feb: 100
    Mar: 125
    Apr: 100
    May: 75
    How many more visitors are there for Apr than for May?
22. 22.A bus runs at 33 km/h. How far does it go in 40 minutes (in km)?
23. 23.Find the amount when ₹10000 is invested at 15% per year compound interest for 2 years (in ₹).
24. 24.27 + 6 × 8 − 10 =
25. 25.Sneha, Aarav and Nisha invest ₹5000, ₹8000 and ₹13000 in a shop. The profit is ₹13000. What is Nisha’s share (in ₹)?
26. 26.What is the difference between the compound interest and the simple interest on ₹40000 at 15% per year for 2 years (in ₹)?
27. 27.Which is closest to 598 + 796 + 701? (a) 2000 (b) 2300 (c) 2100 (d) 2200
28. 28.Kabir can finish a job in 4 days and Diya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
29. 29.In 5 years, Rahul will be twice as old as Rahul was 6 years ago. How old is Rahul now?
30. 30.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
31. 31.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
32. 32.A shopkeeper buys a watch for ₹140 and sells it for ₹210. Find the profit percent.
33. 33.Farhan’s batting average after 10 innings is 48 runs. How many runs must Farhan score in the next innings to raise the average to 51?
34. 34.Find the LCM of 3, 11 and 7.
35. 35.What is the smallest number you must take away from 292 so that it divides exactly by 13?
36. 36.4 painters can paint a school in 18 days. How many days would 12 painters take, working at the same speed?
37. 37.By selling a bicycle for ₹704, a shopkeeper makes a profit of 10%. What did the bicycle cost the shopkeeper (in ₹)?
38. 38.A school bag bought for ₹1000 is sold at a loss of 25%. What is the selling price (in ₹)?
39. 39.Find the LCM of 27 and 15.
40. 40.Two discounts of 10% and 25%, one after the other, are the same as one discount of what percent? =

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