HCF and LCM Word Problems Worksheet

Quantitative aptitude lesson 2: HCF and LCM word problems · Set 208 · 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.Find the smallest number bigger than 15 that leaves a remainder of 2 when divided by 15, 12 or 8.
2. 2.Three temple bells ring every 12, 4 and 18 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
3. 3.Three temple bells ring every 8, 24 and 9 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
4. 4.A hall floor is 125 cm long and 75 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
5. 5.Three temple bells ring every 4, 30 and 24 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
6. 6.Three temple bells ring every 6, 5 and 4 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
7. 7.Three temple bells ring every 18, 6 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
8. 8.Two tanks hold 200 litres and 240 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
9. 9.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?
10. 10.Manav takes 36 seconds and Arjun 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?
11. 11.Find the smallest number bigger than 8 that leaves a remainder of 2 when divided by 4, 6 or 8.
12. 12.Two tanks hold 90 litres and 120 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
13. 13.Tara takes 50 seconds and Sneha takes 75 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?
14. 14.Find the smallest number bigger than 15 that leaves a remainder of 4 when divided by 12, 6 or 15.
15. 15.Three temple bells ring every 30, 15 and 24 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
16. 16.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?
17. 17.Find the smallest number bigger than 12 that leaves a remainder of 1 when divided by 4, 5 or 12.
18. 18.Nisha takes 45 seconds and Rohan 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?
19. 19.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?
20. 20.Three temple bells ring every 9, 12 and 18 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
21. 21.Two tanks hold 60 litres and 90 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
22. 22.Find the smallest number bigger than 10 that leaves a remainder of 2 when divided by 4, 5 or 10.
23. 23.Find the smallest number bigger than 10 that leaves a remainder of 2 when divided by 6, 10 or 4.
24. 24.A hall floor is 180 cm long and 120 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
25. 25.Three temple bells ring every 5, 15 and 4 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
26. 26.Two tanks hold 60 litres and 40 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 10 that leaves a remainder of 1 when divided by 10, 3 or 8.
28. 28.Two tanks hold 25 litres and 15 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
29. 29.Three temple bells ring every 8, 30 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
30. 30.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?
31. 31.A hall floor is 140 cm long and 60 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
32. 32.Three temple bells ring every 4, 20 and 15 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
33. 33.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?
34. 34.Two tanks hold 315 litres and 360 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
35. 35.Two tanks hold 70 litres and 30 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
36. 36.Find the smallest number bigger than 10 that leaves a remainder of 1 when divided by 10, 4 or 8.
37. 37.Three temple bells ring every 5, 6 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
38. 38.Tara takes 36 seconds and Isha takes 90 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?
39. 39.Two tanks hold 120 litres and 200 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
40. 40.Find the smallest number bigger than 15 that leaves a remainder of 3 when divided by 4, 15 or 9.

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