HCF and LCM Word Problems Worksheet

Quantitative aptitude lesson 2: HCF and LCM word problems · Set 158 · 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 30, 15 and 4 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
2. 2.Three temple bells ring every 15, 4 and 24 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
3. 3.Three temple bells ring every 20, 6 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
4. 4.Two tanks hold 40 litres and 35 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 15 that leaves a remainder of 5 when divided by 6, 15 or 9.
6. 6.A hall floor is 90 cm long and 60 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
7. 7.Two tanks hold 150 litres and 200 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
8. 8.A hall floor is 175 cm long and 100 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
9. 9.Two tanks hold 175 litres and 150 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
10. 10.Two tanks hold 240 litres and 280 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
11. 11.Two tanks hold 400 litres and 450 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
12. 12.Find the smallest number bigger than 8 that leaves a remainder of 1 when divided by 3, 4 or 8.
13. 13.Karan takes 45 seconds and Sneha 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?
14. 14.Three temple bells ring every 20, 30 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
15. 15.Zoya takes 75 seconds and Vivaan 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?
16. 16.Find the smallest number bigger than 8 that leaves a remainder of 2 when divided by 4, 3 or 8.
17. 17.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?
18. 18.Find the smallest number bigger than 10 that leaves a remainder of 1 when divided by 10, 5 or 3.
19. 19.Three temple bells ring every 15, 20 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
20. 20.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?
21. 21.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?
22. 22.A hall floor is 240 cm long and 90 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
23. 23.Three temple bells ring every 6, 5 and 9 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
24. 24.Find the smallest number bigger than 8 that leaves a remainder of 2 when divided by 8, 5 or 6.
25. 25.Three temple bells ring every 4, 5 and 24 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
26. 26.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?
27. 27.Find the smallest number bigger than 12 that leaves a remainder of 1 when divided by 12, 6 or 4.
28. 28.Find the smallest number bigger than 12 that leaves a remainder of 4 when divided by 5, 6 or 12.
29. 29.Find the smallest number bigger than 15 that leaves a remainder of 2 when divided by 15, 4 or 10.
30. 30.A hall floor is 210 cm long and 180 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
31. 31.Two tanks hold 200 litres and 150 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
32. 32.Saanvi takes 90 seconds and Pooja 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?
33. 33.Zoya takes 30 seconds and Diya 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?
34. 34.Find the smallest number bigger than 10 that leaves a remainder of 3 when divided by 8, 10 or 5.
35. 35.Zoya takes 60 seconds and Priya 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?
36. 36.Find the smallest number bigger than 8 that leaves a remainder of 2 when divided by 3, 5 or 8.
37. 37.Three temple bells ring every 8, 6 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
38. 38.Two tanks hold 160 litres and 120 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
39. 39.Find the smallest number bigger than 10 that leaves a remainder of 2 when divided by 10, 4 or 8.
40. 40.Three temple bells ring every 15, 8 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?

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