HCF and LCM Word Problems Worksheet

Quantitative aptitude lesson 2: HCF and LCM word problems · Set 479 · 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 9, 12 and 8 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 2 when divided by 15, 3 or 9.
3. 3.Ananya takes 45 seconds and Meera 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?
4. 4.Two tanks hold 40 litres and 45 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
5. 5.Find the smallest number bigger than 12 that leaves a remainder of 1 when divided by 6, 12 or 3.
6. 6.Two tanks hold 315 litres and 270 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
7. 7.Find the smallest number bigger than 6 that leaves a remainder of 3 when divided by 6, 4 or 5.
8. 8.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?
9. 9.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?
10. 10.Three temple bells ring every 6, 15 and 18 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
11. 11.Find the smallest number bigger than 12 that leaves a remainder of 3 when divided by 5, 10 or 12.
12. 12.A hall floor is 280 cm long and 240 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
13. 13.Three temple bells ring every 8, 15 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
14. 14.Three temple bells ring every 9, 8 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
15. 15.Find the smallest number bigger than 12 that leaves a remainder of 2 when divided by 6, 12 or 3.
16. 16.Two tanks hold 120 litres and 270 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
17. 17.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?
18. 18.Kabir takes 80 seconds and Pooja 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?
19. 19.Find the smallest number bigger than 15 that leaves a remainder of 1 when divided by 8, 15 or 6.
20. 20.Three temple bells ring every 10, 8 and 15 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
21. 21.Three temple bells ring every 4, 24 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
22. 22.Find the smallest number bigger than 8 that leaves a remainder of 1 when divided by 3, 4 or 8.
23. 23.Three temple bells ring every 10, 4 and 24 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
24. 24.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?
25. 25.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?
26. 26.Rahul takes 48 seconds and Aditya 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?
27. 27.A hall floor is 60 cm long and 40 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
28. 28.A hall floor is 140 cm long and 120 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
29. 29.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?
30. 30.A hall floor is 360 cm long and 225 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
31. 31.A hall floor is 315 cm long and 90 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
32. 32.Two tanks hold 100 litres and 450 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
33. 33.Find the smallest number bigger than 9 that leaves a remainder of 1 when divided by 3, 9 or 6.
34. 34.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?
35. 35.Three temple bells ring every 18, 10 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
36. 36.Three temple bells ring every 20, 12 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
37. 37.A hall floor is 150 cm long and 120 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
38. 38.A hall floor is 140 cm long and 100 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
39. 39.Two tanks hold 20 litres and 25 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
40. 40.Three temple bells ring every 6, 15 and 20 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?

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