Number Skills Practice Worksheet

Quantitative aptitude lesson 10: Practice: number skills · Set 373 · 40 questions

The method (Spot the type): Read the question and name the topic: HCF/LCM, fraction, ratio, percent … Use that lesson’s method and write each step. Check: is the answer sensible in size and units?

1. 1.Two tanks hold 225 litres and 270 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
2. 2.1/2 − 1/4 =
3. 3.3.3 × 3 =
4. 4.Meera takes 60 seconds and Aarav takes 72 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?
5. 5.5 painters can paint a school in 18 days. How many days would 15 painters take, working at the same speed?
6. 6.1/3 × 6/11 =
7. 7.Find the smallest number bigger than 9 that leaves a remainder of 2 when divided by 9, 8 or 3.
8. 8.Which is closest to 1496 ÷ 49? (a) 60 (b) 300 (c) 30 (d) 15
9. 9.24 ÷ 4 × 7 + 9 =
10. 10.A car goes 28 km on 2 litres of petrol. How far can it go on 12 litres (in km)?
11. 11.How many factors does 23 have?
12. 12.How many factors does 66 have?
13. 13.What is the smallest number you must take away from 349 so that it divides exactly by 4?
14. 14.Find the HCF of 35 and 28.
15. 15.Find the LCM of 10, 15 and 5.
16. 16.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
17. 17.Three temple bells ring every 9, 10 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
18. 18.10/11 + 1/7 =
19. 19.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
20. 20.A hostel has enough food for 11 students for 18 days. How many days will the same food last for 6 students?
21. 21.Which is closest to 199 × 48? (Round each number first.) (a) 20000 (b) 10000 (c) 1000 (d) 100000
22. 22.How many factors does 63 have?
23. 23.What is the smallest number you must take away from 815 so that it divides exactly by 7?
24. 24.Which of these numbers divides exactly by 9? (a) 1477 (b) 7141 (c) 7857 (d) 1434
25. 25.If 9 kg of rice costs ₹189, how many kg can you buy for ₹84?
26. 26.Which of these numbers divides exactly by 3? (a) 4184 (b) 8830 (c) 8019 (d) 3113
27. 27.1/2 × 1/4 =
28. 28.Three temple bells ring every 6, 5 and 20 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
29. 29.Which is closest to 304 × 18? (Round each number first.) (a) 12000 (b) 60000 (c) 6000 (d) 600
30. 30.Which is closest to 295 + 300 + 301? (a) 900 (b) 800 (c) 1100 (d) 1000
31. 31.Three temple bells ring every 6, 8 and 18 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
32. 32.A car goes 42 km on 3 litres of petrol. How far can it go on 34 litres (in km)?
33. 33.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
34. 34.What is 30% of 260?
35. 35.A hostel has enough food for 9 students for 17 days. How many days will the same food last for 3 students?
36. 36.What is the smallest number you must take away from 180 so that it divides exactly by 11?
37. 37.If 6 pens cost ₹360, how much do 13 pens cost (in ₹)?
38. 38.120% of a number is 42. What is the number?
39. 39.A hall floor is 400 cm long and 350 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
40. 40.6/7 − 6/12 =

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