HCF and LCM Word Problems Worksheet

Quantitative aptitude lesson 2: HCF and LCM word problems · Set 136 · 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 6 that leaves a remainder of 2 when divided by 6, 5 or 3.
2. 2.Find the smallest number bigger than 12 that leaves a remainder of 1 when divided by 3, 12 or 9.
3. 3.Saanvi takes 54 seconds and Vivaan 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?
4. 4.Two tanks hold 135 litres and 60 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
5. 5.Three temple bells ring every 15, 5 and 9 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
6. 6.Find the smallest number bigger than 15 that leaves a remainder of 3 when divided by 9, 15 or 5.
7. 7.Zoya takes 40 seconds and Dev 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?
8. 8.Find the smallest number bigger than 15 that leaves a remainder of 2 when divided by 8, 15 or 4.
9. 9.Meera takes 50 seconds and Ananya takes 90 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?
10. 10.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?
11. 11.Rohan takes 30 seconds and Saanvi takes 54 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?
12. 12.Find the smallest number bigger than 10 that leaves a remainder of 1 when divided by 10, 3 or 4.
13. 13.Find the smallest number bigger than 12 that leaves a remainder of 1 when divided by 6, 12 or 9.
14. 14.Two tanks hold 50 litres and 225 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
15. 15.Find the smallest number bigger than 15 that leaves a remainder of 5 when divided by 10, 8 or 15.
16. 16.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?
17. 17.Find the smallest number bigger than 10 that leaves a remainder of 3 when divided by 5, 10 or 4.
18. 18.Three temple bells ring every 18, 6 and 12 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
19. 19.Find the smallest number bigger than 15 that leaves a remainder of 2 when divided by 5, 15 or 6.
20. 20.A hall floor is 300 cm long and 120 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 105 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
22. 22.A hall floor is 160 cm long and 120 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 9 that leaves a remainder of 1 when divided by 3, 6 or 9.
24. 24.Three temple bells ring every 15, 20 and 24 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
25. 25.Manav takes 36 seconds and Arjun takes 90 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?
26. 26.A hall floor is 250 cm long and 150 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
27. 27.Two tanks hold 50 litres and 175 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
28. 28.Three temple bells ring every 24, 12 and 20 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 9 that leaves a remainder of 2 when divided by 3, 4 or 9.
30. 30.Find the smallest number bigger than 6 that leaves a remainder of 1 when divided by 5, 4 or 6.
31. 31.Three temple bells ring every 10, 15 and 20 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
32. 32.Ananya takes 80 seconds and Meera 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?
33. 33.Find the smallest number bigger than 9 that leaves a remainder of 2 when divided by 6, 9 or 8.
34. 34.A hall floor is 240 cm long and 200 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
35. 35.Two tanks hold 150 litres and 400 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
36. 36.Two tanks hold 75 litres and 45 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
37. 37.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?
38. 38.Two tanks hold 180 litres and 40 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
39. 39.A hall floor is 400 cm long and 250 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
40. 40.Find the smallest number bigger than 10 that leaves a remainder of 1 when divided by 6, 10 or 3.

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