HCF and LCM Word Problems Worksheet

Quantitative aptitude lesson 2: HCF and LCM word problems · Set 443 · 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.Find the smallest number bigger than 9 that leaves a remainder of 2 when divided by 9, 4 or 5.
2. 2.Three temple bells ring every 4, 10 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
3. 3.Two tanks hold 80 litres and 30 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
4. 4.Find the smallest number bigger than 10 that leaves a remainder of 4 when divided by 8, 10 or 5.
5. 5.A hall floor is 360 cm long and 135 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
6. 6.Two tanks hold 150 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.Two tanks hold 90 litres and 150 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
8. 8.Find the smallest number bigger than 9 that leaves a remainder of 1 when divided by 9, 3 or 6.
9. 9.A hall floor is 125 cm long and 100 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
10. 10.Two tanks hold 80 litres and 50 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.Three temple bells ring every 4, 15 and 12 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 15 that leaves a remainder of 2 when divided by 3, 15 or 10.
14. 14.A hall floor is 280 cm long and 160 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 18, 15 and 30 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
16. 16.Farhan takes 40 seconds and Meera 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?
17. 17.Find the smallest number bigger than 9 that leaves a remainder of 2 when divided by 4, 9 or 3.
18. 18.Isha takes 75 seconds and Saanvi 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.Three temple bells ring every 18, 30 and 10 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
20. 20.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?
21. 21.Two tanks hold 135 litres and 360 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
22. 22.Two tanks hold 100 litres and 180 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
23. 23.Three temple bells ring every 8, 5 and 12 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
24. 24.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?
25. 25.Two tanks hold 60 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 175 cm long and 100 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 6, 15 and 18 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
28. 28.A hall floor is 100 cm long and 60 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
29. 29.Find the smallest number bigger than 12 that leaves a remainder of 1 when divided by 3, 10 or 12.
30. 30.Rohan takes 40 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?
31. 31.Find the smallest number bigger than 12 that leaves a remainder of 2 when divided by 9, 5 or 12.
32. 32.A hall floor is 360 cm long and 300 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 8 that leaves a remainder of 4 when divided by 8, 6 or 5.
34. 34.Three temple bells ring every 5, 30 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
35. 35.Two tanks hold 120 litres and 160 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
36. 36.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?
37. 37.Ishaan takes 60 seconds and Sneha takes 75 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 10 that leaves a remainder of 3 when divided by 9, 10 or 4.
39. 39.Two tanks hold 80 litres and 120 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 15 that leaves a remainder of 2 when divided by 4, 9 or 15.

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