HCF and LCM Word Problems Worksheet

Quantitative aptitude lesson 2: HCF and LCM word problems · Set 331 · 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, 5 and 30 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 5, 4 or 15.
3. 3.Three temple bells ring every 9, 30 and 10 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
4. 4.A hall floor is 160 cm long and 60 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
5. 5.A hall floor is 125 cm long and 50 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
6. 6.Three temple bells ring every 10, 4 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
7. 7.Two tanks hold 320 litres and 280 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
8. 8.Three temple bells ring every 20, 24 and 4 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
9. 9.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?
10. 10.Two tanks hold 30 litres and 70 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
11. 11.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?
12. 12.Three temple bells ring every 8, 30 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
13. 13.Three temple bells ring every 6, 18 and 4 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
14. 14.Three temple bells ring every 5, 20 and 30 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 15 that leaves a remainder of 1 when divided by 3, 15 or 10.
16. 16.Two tanks hold 315 litres and 405 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
17. 17.A hall floor is 75 cm long and 50 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
18. 18.Three temple bells ring every 8, 20 and 12 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
19. 19.Three temple bells ring every 8, 12 and 15 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
20. 20.Three temple bells ring every 24, 6 and 18 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
21. 21.Find the smallest number bigger than 12 that leaves a remainder of 1 when divided by 4, 6 or 12.
22. 22.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?
23. 23.Find the smallest number bigger than 15 that leaves a remainder of 1 when divided by 10, 4 or 15.
24. 24.Arjun takes 72 seconds and Nisha 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?
25. 25.Find the smallest number bigger than 12 that leaves a remainder of 4 when divided by 12, 6 or 9.
26. 26.Diya takes 45 seconds and Rahul 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?
27. 27.Dev takes 60 seconds and Nisha 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 8, 20 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
29. 29.Find the smallest number bigger than 15 that leaves a remainder of 7 when divided by 12, 8 or 15.
30. 30.Two tanks hold 150 litres and 240 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
31. 31.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?
32. 32.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?
33. 33.Find the smallest number bigger than 15 that leaves a remainder of 2 when divided by 12, 15 or 6.
34. 34.A hall floor is 200 cm long and 175 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, 5 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
36. 36.A hall floor is 400 cm long and 350 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
37. 37.Aarav takes 72 seconds and Aditya 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?
38. 38.Find the smallest number bigger than 15 that leaves a remainder of 1 when divided by 15, 4 or 3.
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.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?

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