HCF and LCM Word Problems Worksheet

Quantitative aptitude lesson 2: HCF and LCM word problems · Set 503 · 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 24, 4 and 9 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
2. 2.Find the smallest number bigger than 15 that leaves a remainder of 1 when divided by 15, 10 or 8.
3. 3.A hall floor is 250 cm long and 100 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
4. 4.Find the smallest number bigger than 10 that leaves a remainder of 2 when divided by 4, 5 or 10.
5. 5.A hall floor is 480 cm long and 300 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
6. 6.Find the smallest number bigger than 15 that leaves a remainder of 5 when divided by 8, 15 or 12.
7. 7.A hall floor is 480 cm long and 180 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
8. 8.Find the smallest number bigger than 15 that leaves a remainder of 7 when divided by 10, 15 or 8.
9. 9.Find the smallest number bigger than 12 that leaves a remainder of 3 when divided by 6, 8 or 12.
10. 10.Three temple bells ring every 15, 5 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
11. 11.Three temple bells ring every 10, 8 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
12. 12.Find the smallest number bigger than 6 that leaves a remainder of 1 when divided by 6, 3 or 5.
13. 13.A hall floor is 160 cm long and 100 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
14. 14.Aarav takes 72 seconds and Kabir takes 80 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?
15. 15.Find the smallest number bigger than 10 that leaves a remainder of 1 when divided by 10, 9 or 3.
16. 16.Find the smallest number bigger than 6 that leaves a remainder of 2 when divided by 4, 3 or 6.
17. 17.Tara takes 72 seconds and Meera takes 48 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?
18. 18.Find the smallest number bigger than 8 that leaves a remainder of 3 when divided by 4, 8 or 5.
19. 19.Ananya takes 75 seconds and Aarav takes 30 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?
20. 20.Zoya takes 40 seconds and Pooja takes 50 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?
21. 21.Kabir takes 54 seconds and Ananya takes 48 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?
22. 22.A hall floor is 320 cm long and 200 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
23. 23.Two tanks hold 120 litres and 105 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 240 cm long and 180 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
25. 25.Find the smallest number bigger than 8 that leaves a remainder of 2 when divided by 3, 5 or 8.
26. 26.Two tanks hold 160 litres and 140 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
27. 27.Find the smallest number bigger than 6 that leaves a remainder of 2 when divided by 6, 4 or 5.
28. 28.A hall floor is 300 cm long and 180 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
29. 29.Ishaan takes 48 seconds and Isha takes 60 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?
30. 30.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?
31. 31.Find the smallest number bigger than 9 that leaves a remainder of 2 when divided by 9, 3 or 4.
32. 32.Three temple bells ring every 18, 8 and 24 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
33. 33.Two tanks hold 210 litres and 120 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
34. 34.A hall floor is 280 cm long and 80 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
35. 35.Three temple bells ring every 12, 6 and 9 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
36. 36.Find the smallest number bigger than 15 that leaves a remainder of 1 when divided by 3, 6 or 15.
37. 37.Three temple bells ring every 30, 6 and 24 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
38. 38.Three temple bells ring every 9, 6 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
39. 39.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?
40. 40.Find the smallest number bigger than 15 that leaves a remainder of 3 when divided by 15, 12 or 8.

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