HCF and LCM Word Problems Worksheet

Quantitative aptitude lesson 2: HCF and LCM word problems · Set 293 · 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 12 that leaves a remainder of 1 when divided by 3, 12 or 4.
2. 2.Pooja takes 40 seconds and Aditya 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.Find the smallest number bigger than 15 that leaves a remainder of 2 when divided by 3, 9 or 15.
4. 4.Three temple bells ring every 15, 8 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
5. 5.Find the smallest number bigger than 12 that leaves a remainder of 3 when divided by 12, 10 or 6.
6. 6.A hall floor is 320 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 4, 5 and 10 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
8. 8.Find the smallest number bigger than 8 that leaves a remainder of 2 when divided by 6, 8 or 4.
9. 9.Find the smallest number bigger than 9 that leaves a remainder of 1 when divided by 3, 9 or 4.
10. 10.Three temple bells ring every 24, 18 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
11. 11.A hall floor is 315 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 10 that leaves a remainder of 3 when divided by 10, 5 or 6.
13. 13.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?
14. 14.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?
15. 15.Two tanks hold 135 litres and 180 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
16. 16.Find the smallest number bigger than 12 that leaves a remainder of 1 when divided by 3, 12 or 6.
17. 17.Find the smallest number bigger than 5 that leaves a remainder of 1 when divided by 4, 5 or 3.
18. 18.Two tanks hold 350 litres and 400 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
19. 19.Find the smallest number bigger than 15 that leaves a remainder of 3 when divided by 12, 5 or 15.
20. 20.Three temple bells ring every 24, 9 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
21. 21.Two tanks hold 360 litres and 405 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
22. 22.Kavya takes 60 seconds and Manav 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?
23. 23.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?
24. 24.Two tanks hold 150 litres and 180 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
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.Three temple bells ring every 15, 9 and 30 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
27. 27.Meera takes 45 seconds and Isha 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?
28. 28.Two tanks hold 160 litres and 100 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 60 cm long and 40 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 4, 8 and 30 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
31. 31.Two tanks hold 225 litres and 360 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
32. 32.Arjun takes 45 seconds and Vivaan 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?
33. 33.A hall floor is 175 cm long and 150 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 24, 4 and 9 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
35. 35.Three temple bells ring every 4, 30 and 12 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
36. 36.Three temple bells ring every 15, 4 and 24 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
37. 37.Three temple bells ring every 6, 15 and 4 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
38. 38.Three temple bells ring every 30, 24 and 4 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
39. 39.A hall floor is 150 cm long and 125 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
40. 40.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?

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