HCF and LCM Word Problems Worksheet

Quantitative aptitude lesson 2: HCF and LCM word problems · Set 360 · 40 questions

The method (LCM or HCF?): Bells, lights, runners “together again”: find the LCM of the gaps. Biggest can, rope piece or tile that fits exactly: find the HCF. Leaves the same remainder r every time: LCM + r. Number of tiles = (length ÷ tile side) × (width ÷ tile side).

1. 1.Three temple bells ring every 8, 6 and 30 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
2. 2.Three temple bells ring every 24, 12 and 9 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
3. 3.Three temple bells ring every 24, 8 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
4. 4.Three temple bells ring every 4, 18 and 9 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
5. 5.A hall floor is 225 cm long and 90 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
6. 6.Three temple bells ring every 12, 10 and 20 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
7. 7.Find the smallest number bigger than 12 that leaves a remainder of 2 when divided by 12, 3 or 4.
8. 8.A hall floor is 350 cm long and 100 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
9. 9.Two tanks hold 100 litres and 120 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
10. 10.Find the smallest number bigger than 12 that leaves a remainder of 1 when divided by 3, 10 or 12.
11. 11.A hall floor is 420 cm long and 180 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
12. 12.A hall floor is 120 cm long and 80 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
13. 13.Find the smallest number bigger than 12 that leaves a remainder of 2 when divided by 4, 6 or 12.
14. 14.Three temple bells ring every 24, 5 and 4 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
15. 15.Three temple bells ring every 24, 30 and 10 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
16. 16.Three temple bells ring every 24, 20 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
17. 17.Find the smallest number bigger than 15 that leaves a remainder of 1 when divided by 4, 9 or 15.
18. 18.Find the smallest number bigger than 6 that leaves a remainder of 1 when divided by 5, 6 or 4.
19. 19.Two tanks hold 40 litres and 60 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
20. 20.Find the smallest number bigger than 12 that leaves a remainder of 5 when divided by 12, 8 or 9.
21. 21.Two tanks hold 60 litres and 80 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
22. 22.Three temple bells ring every 4, 5 and 24 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
23. 23.Find the smallest number bigger than 12 that leaves a remainder of 1 when divided by 10, 9 or 12.
24. 24.A hall floor is 175 cm long and 100 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
25. 25.A hall floor is 350 cm long and 250 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
26. 26.A hall floor is 210 cm long and 150 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
27. 27.A hall floor is 200 cm long and 80 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
28. 28.Two tanks hold 20 litres and 45 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
29. 29.Two tanks hold 175 litres and 125 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
30. 30.Three temple bells ring every 4, 30 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
31. 31.Three temple bells ring every 12, 8 and 18 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
32. 32.A hall floor is 200 cm long and 120 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
33. 33.A hall floor is 100 cm long and 75 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
34. 34.Three temple bells ring every 6, 5 and 12 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
35. 35.Find the smallest number bigger than 12 that leaves a remainder of 3 when divided by 5, 12 or 6.
36. 36.Three temple bells ring every 6, 15 and 10 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
37. 37.Find the smallest number bigger than 12 that leaves a remainder of 2 when divided by 10, 6 or 12.
38. 38.Two tanks hold 200 litres and 120 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
39. 39.Three temple bells ring every 6, 4 and 30 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
40. 40.Two tanks hold 30 litres and 45 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?

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