HCF and LCM Word Problems Worksheet

Quantitative aptitude lesson 2: HCF and LCM word problems · Set 344 · 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 12, 24 and 9 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
2. 2.Isha takes 48 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?
3. 3.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?
4. 4.Dev takes 40 seconds and Arjun 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?
5. 5.Three temple bells ring every 6, 18 and 15 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 10 that leaves a remainder of 1 when divided by 5, 10 or 3.
7. 7.Find the smallest number bigger than 15 that leaves a remainder of 1 when divided by 4, 15 or 5.
8. 8.Two tanks hold 20 litres and 90 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
9. 9.Find the smallest number bigger than 8 that leaves a remainder of 1 when divided by 4, 3 or 8.
10. 10.A hall floor is 420 cm long and 180 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
11. 11.Find the smallest number bigger than 10 that leaves a remainder of 2 when divided by 10, 8 or 3.
12. 12.Three temple bells ring every 6, 4 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
13. 13.Two tanks hold 360 litres and 280 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
14. 14.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?
15. 15.Find the smallest number bigger than 12 that leaves a remainder of 3 when divided by 12, 4 or 9.
16. 16.A hall floor is 350 cm long and 100 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
17. 17.Two tanks hold 280 litres and 120 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
18. 18.Nisha takes 36 seconds and Rahul takes 40 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.Two tanks hold 90 litres and 210 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
20. 20.Find the smallest number bigger than 8 that leaves a remainder of 1 when divided by 4, 8 or 5.
21. 21.Find the smallest number bigger than 15 that leaves a remainder of 5 when divided by 12, 15 or 8.
22. 22.Find the smallest number bigger than 12 that leaves a remainder of 2 when divided by 12, 4 or 3.
23. 23.Find the smallest number bigger than 9 that leaves a remainder of 2 when divided by 9, 4 or 6.
24. 24.Two tanks hold 75 litres and 125 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
25. 25.Three temple bells ring every 4, 30 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
26. 26.Two tanks hold 400 litres and 350 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
27. 27.Three temple bells ring every 20, 24 and 15 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
28. 28.Three temple bells ring every 8, 6 and 10 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
29. 29.Two tanks hold 60 litres and 210 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
30. 30.Three temple bells ring every 18, 30 and 9 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
31. 31.Three temple bells ring every 6, 24 and 20 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
32. 32.Three temple bells ring every 6, 8 and 9 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
33. 33.Three temple bells ring every 30, 6 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
34. 34.Find the smallest number bigger than 12 that leaves a remainder of 2 when divided by 12, 8 or 3.
35. 35.Three temple bells ring every 9, 18 and 4 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
36. 36.Three temple bells ring every 30, 4 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
37. 37.Tara takes 30 seconds and Diya takes 40 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.Three temple bells ring every 18, 15 and 9 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
39. 39.Three temple bells ring every 10, 24 and 15 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
40. 40.Three temple bells ring every 5, 9 and 30 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude