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Joseph visits the club on every 5th day, Harsh visits on every 24th day, while Sumit visits on every 9th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?

Joseph visits the club on every 5th day, Harsh visits on every 24th day, while Sumit visits on every 9th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again? Correct Answer Wednesday

Given:

Joseph visits the club on every 5th day,

Harsh visits the club on every 24th day and

Sumit visits the club on every 9th day.

All three of them met at the club on a Sunday.

Calculation:

 Taking LCM of their visiting intervals

3 | 5, 24, 9

5, 8, 3

⇒ LCM = 3 × 5 × 8 × 3 = 360

⇒ All three will meet 360th day.

Now as 1st time they meet is on Sunday which occurs after every 7 days.

⇒  360 = 51 × 7 + 3 

⇒ 357th day will be Sunday and hence, 360th day will be on Wednesday.

So, option 2 is correct.

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