HCF and LCM Word Problems Worksheet

Quantitative aptitude lesson 2: HCF and LCM word problems · Set 159 · 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 4, 18 and 9 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
2. 2.Three temple bells ring every 6, 9 and 30 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
3. 3.Find the smallest number bigger than 15 that leaves a remainder of 3 when divided by 15, 8 or 5.
4. 4.Diya takes 40 seconds and Rohan takes 36 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.Find the smallest number bigger than 15 that leaves a remainder of 2 when divided by 15, 9 or 6.
6. 6.Two tanks hold 75 litres and 135 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
7. 7.Two tanks hold 350 litres and 300 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
8. 8.Find the smallest number bigger than 12 that leaves a remainder of 5 when divided by 6, 12 or 9.
9. 9.Three temple bells ring every 12, 8 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
10. 10.Three temple bells ring every 8, 30 and 10 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
11. 11.A hall floor is 300 cm long and 240 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
12. 12.Three temple bells ring every 24, 5 and 15 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
13. 13.Find the smallest number bigger than 9 that leaves a remainder of 2 when divided by 6, 9 or 3.
14. 14.Two tanks hold 180 litres and 405 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
15. 15.Manav takes 30 seconds and Zoya takes 36 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?
16. 16.Kabir takes 40 seconds and Dev 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?
17. 17.Two tanks hold 200 litres and 360 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
18. 18.Two tanks hold 120 litres and 45 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
19. 19.Find the smallest number bigger than 15 that leaves a remainder of 5 when divided by 15, 10 or 9.
20. 20.Find the smallest number bigger than 15 that leaves a remainder of 4 when divided by 6, 15 or 8.
21. 21.Find the smallest number bigger than 12 that leaves a remainder of 1 when divided by 9, 12 or 5.
22. 22.Two tanks hold 50 litres and 175 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
23. 23.Two tanks hold 90 litres and 225 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
24. 24.A hall floor is 280 cm long and 200 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
25. 25.A hall floor is 315 cm long and 135 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
26. 26.Three temple bells ring every 10, 15 and 4 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
27. 27.Ananya takes 80 seconds and Dev takes 36 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?
28. 28.Three temple bells ring every 10, 20 and 15 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
29. 29.A hall floor is 240 cm long and 150 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
30. 30.Find the smallest number bigger than 8 that leaves a remainder of 1 when divided by 3, 8 or 5.
31. 31.Two tanks hold 175 litres and 150 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
32. 32.A hall floor is 240 cm long and 210 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
33. 33.Three temple bells ring every 15, 4 and 10 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
34. 34.Find the smallest number bigger than 10 that leaves a remainder of 3 when divided by 4, 9 or 10.
35. 35.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?
36. 36.Find the smallest number bigger than 15 that leaves a remainder of 1 when divided by 15, 12 or 8.
37. 37.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?
38. 38.Three temple bells ring every 4, 10 and 30 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
39. 39.Find the smallest number bigger than 15 that leaves a remainder of 2 when divided by 15, 4 or 10.
40. 40.Three temple bells ring every 5, 18 and 30 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?

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