HCF and LCM Word Problems Worksheet

Quantitative aptitude lesson 2: HCF and LCM word problems · Set 341 · 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 10 that leaves a remainder of 3 when divided by 4, 8 or 10.
2. 2.Rahul takes 40 seconds and Ananya 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?
3. 3.Three temple bells ring every 30, 10 and 18 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
4. 4.Rohan takes 40 seconds and Pooja 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?
5. 5.Three temple bells ring every 15, 5 and 4 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
6. 6.Zoya takes 45 seconds and Karan 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?
7. 7.Kavya takes 40 seconds and Saanvi 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?
8. 8.A hall floor is 300 cm long and 250 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
9. 9.Aarav takes 45 seconds and Aditya 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?
10. 10.Three temple bells ring every 5, 10 and 24 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
11. 11.Find the smallest number bigger than 6 that leaves a remainder of 3 when divided by 6, 4 or 5.
12. 12.Find the smallest number bigger than 10 that leaves a remainder of 1 when divided by 9, 10 or 6.
13. 13.Find the smallest number bigger than 9 that leaves a remainder of 1 when divided by 4, 5 or 9.
14. 14.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?
15. 15.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?
16. 16.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?
17. 17.Find the smallest number bigger than 8 that leaves a remainder of 3 when divided by 4, 8 or 6.
18. 18.Priya takes 80 seconds and Pooja 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.Vivaan takes 80 seconds and Rahul 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?
20. 20.Zoya takes 80 seconds and Saanvi 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?
21. 21.Find the smallest number bigger than 12 that leaves a remainder of 1 when divided by 3, 12 or 10.
22. 22.Pooja takes 45 seconds and Dev takes 60 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?
23. 23.Ananya takes 40 seconds and Priya 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?
24. 24.Two tanks hold 150 litres and 250 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
25. 25.A hall floor is 120 cm long and 100 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
26. 26.A hall floor is 140 cm long and 120 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
27. 27.Priya takes 30 seconds and Dev 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?
28. 28.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?
29. 29.Three temple bells ring every 5, 8 and 15 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
30. 30.Three temple bells ring every 30, 8 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
31. 31.A hall floor is 350 cm long and 200 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
32. 32.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?
33. 33.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?
34. 34.Three temple bells ring every 30, 12 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
35. 35.Two tanks hold 135 litres and 90 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 5, 24 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
37. 37.Three temple bells ring every 5, 12 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
38. 38.Find the smallest number bigger than 9 that leaves a remainder of 1 when divided by 9, 5 or 6.
39. 39.A hall floor is 250 cm long and 200 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
40. 40.Two tanks hold 320 litres and 360 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?

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