Number Skills Practice Worksheet

Quantitative aptitude lesson 10: Practice: number skills · Set 413 · 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 35 litres and 30 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
2. 2.If 2 erasers cost ₹34, how much do 19 erasers cost (in ₹)?
3. 3.23.6 ÷ 4 =
4. 4.What percent of 200 is 70?
5. 5.What is the smallest number you must take away from 132 so that it divides exactly by 7?
6. 6.Find the HCF of 18 and 30.
7. 7.Which of these numbers divides exactly by 4? (a) 8742 (b) 7156 (c) 8839 (d) 1894
8. 8.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
9. 9.Find the HCF of 24 and 20.
10. 10.Find the LCM of 12 and 16.
11. 11.How many factors does 78 have?
12. 12.A hall floor is 150 cm long and 90 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
13. 13.Find the LCM of 12 and 18.
14. 14.Find the LCM of 10, 2 and 9.
15. 15.Which of these numbers divides exactly by 9? (a) 9323 (b) 4166 (c) 2865 (d) 2052
16. 16.Diya scored 15 marks out of 20 in a test. What percentage did Diya score?
17. 17.Two tanks hold 160 litres and 180 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
18. 18.Zoya takes 30 seconds and Saanvi takes 54 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?
19. 19.Three temple bells ring every 8, 30 and 4 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
20. 20.Find the smallest number bigger than 10 that leaves a remainder of 2 when divided by 3, 10 or 5.
21. 21.If 9 kg of rice costs ₹747, how many kg can you buy for ₹581?
22. 22.Find the LCM of 5, 2 and 7.
23. 23.What is the smallest number you must take away from 123 so that it divides exactly by 4?
24. 24.5 painters can paint a school in 16 days. How many days would 4 painters take, working at the same speed?
25. 25.What is the smallest number you must add to 365 so that it divides exactly by 4?
26. 26.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
27. 27.Find the smallest number bigger than 10 that leaves a remainder of 2 when divided by 10, 4 or 8.
28. 28.Find the LCM of 8 and 7.
29. 29.If 2 pencil boxes cost ₹106, how much do 3 pencil boxes cost (in ₹)?
30. 30.What percent of 80 is 36?
31. 31.4 painters can paint a school in 6 days. How many days would 2 painters take, working at the same speed?
32. 32.A hostel has enough food for 10 students for 19 days. How many days will the same food last for 19 students?
33. 33.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
34. 34.What is the smallest number you must add to 227 so that it divides exactly by 6?
35. 35.25% of a number is 33. What is the number?
36. 36.Which is closest to 301 + 701 + 99? (a) 1200 (b) 1100 (c) 1300 (d) 1000
37. 37.Write 21/25 as a percent.
38. 38.What is the smallest number you must add to 518 so that it divides exactly by 6?
39. 39.Three temple bells ring every 6, 30 and 20 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
40. 40.What is the smallest number you must add to 286 so that it divides exactly by 3?

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