HCF and LCM Word Problems Worksheet

Quantitative aptitude lesson 2: HCF and LCM word problems · Set 236 · 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.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?
2. 2.Find the smallest number bigger than 12 that leaves a remainder of 2 when divided by 6, 12 or 4.
3. 3.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?
4. 4.A hall floor is 210 cm long and 60 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
5. 5.Find the smallest number bigger than 12 that leaves a remainder of 2 when divided by 3, 12 or 6.
6. 6.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?
7. 7.Three temple bells ring every 15, 5 and 10 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
8. 8.A hall floor is 180 cm long and 150 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
9. 9.Two tanks hold 125 litres and 50 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 90 litres and 240 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 180 cm long and 135 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
12. 12.Find the smallest number bigger than 12 that leaves a remainder of 5 when divided by 8, 9 or 12.
13. 13.Two tanks hold 70 litres and 90 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
14. 14.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?
15. 15.Three temple bells ring every 5, 6 and 4 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
16. 16.Zoya takes 72 seconds and Rohan 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?
17. 17.A hall floor is 150 cm long and 90 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
18. 18.Kabir takes 50 seconds and Kavya 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?
19. 19.Find the smallest number bigger than 12 that leaves a remainder of 2 when divided by 12, 5 or 4.
20. 20.A hall floor is 210 cm long and 90 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
21. 21.Find the smallest number bigger than 15 that leaves a remainder of 1 when divided by 15, 8 or 3.
22. 22.Three temple bells ring every 18, 12 and 4 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
23. 23.Three temple bells ring every 12, 4 and 15 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 15 that leaves a remainder of 2 when divided by 8, 15 or 5.
25. 25.Two tanks hold 405 litres and 90 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
26. 26.A hall floor is 280 cm long and 80 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
27. 27.Three temple bells ring every 18, 24 and 12 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
28. 28.Two tanks hold 200 litres and 120 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
29. 29.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?
30. 30.Three temple bells ring every 24, 4 and 10 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
31. 31.Tara takes 60 seconds and Rohan takes 50 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.Three temple bells ring every 30, 24 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
33. 33.Three temple bells ring every 12, 4 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
34. 34.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?
35. 35.Two tanks hold 35 litres and 25 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 15 that leaves a remainder of 3 when divided by 15, 4 or 6.
37. 37.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?
38. 38.Nisha takes 75 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?
39. 39.Find the smallest number bigger than 9 that leaves a remainder of 1 when divided by 8, 3 or 9.
40. 40.Find the smallest number bigger than 10 that leaves a remainder of 2 when divided by 4, 10 or 3.

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