HCF and LCM Word Problems Worksheet

Quantitative aptitude lesson 2: HCF and LCM word problems · Set 327 · 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 10, 6 and 24 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 12 that leaves a remainder of 2 when divided by 9, 12 or 4.
3. 3.A hall floor is 225 cm long and 135 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
4. 4.Three temple bells ring every 4, 24 and 9 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
5. 5.Three temple bells ring every 18, 12 and 9 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
6. 6.Three temple bells ring every 15, 5 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
7. 7.Three temple bells ring every 20, 24 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
8. 8.Three temple bells ring every 5, 9 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
9. 9.Three temple bells ring every 8, 20 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
10. 10.Meera takes 60 seconds and Ananya takes 40 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.Three temple bells ring every 12, 10 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
12. 12.Three temple bells ring every 9, 18 and 4 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 12 that leaves a remainder of 7 when divided by 10, 8 or 12.
14. 14.Two tanks hold 120 litres and 80 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
15. 15.Three temple bells ring every 20, 30 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
16. 16.Find the smallest number bigger than 8 that leaves a remainder of 3 when divided by 5, 4 or 8.
17. 17.Ishaan takes 48 seconds and Sneha 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?
18. 18.Find the smallest number bigger than 12 that leaves a remainder of 1 when divided by 8, 12 or 3.
19. 19.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?
20. 20.Three temple bells ring every 30, 12 and 15 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
21. 21.A hall floor is 320 cm long and 120 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
22. 22.A hall floor is 480 cm long and 420 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
23. 23.Find the smallest number bigger than 12 that leaves a remainder of 4 when divided by 8, 6 or 12.
24. 24.A hall floor is 140 cm long and 40 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 10 that leaves a remainder of 3 when divided by 9, 5 or 10.
26. 26.A hall floor is 350 cm long and 300 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
27. 27.Sneha takes 48 seconds and Karan 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?
28. 28.Three temple bells ring every 6, 4 and 10 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
29. 29.Two tanks hold 135 litres and 60 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
30. 30.Two tanks hold 350 litres and 450 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
31. 31.Pooja takes 36 seconds and Vivaan 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?
32. 32.Karan takes 36 seconds and Ishaan takes 45 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?
33. 33.A hall floor is 175 cm long and 125 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
34. 34.Find the smallest number bigger than 9 that leaves a remainder of 2 when divided by 6, 5 or 9.
35. 35.Two tanks hold 350 litres and 200 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
36. 36.A hall floor is 150 cm long and 100 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
37. 37.A hall floor is 175 cm long and 75 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
38. 38.Find the smallest number bigger than 15 that leaves a remainder of 2 when divided by 4, 10 or 15.
39. 39.Two tanks hold 120 litres and 75 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 10 that leaves a remainder of 1 when divided by 4, 10 or 9.

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