Question

Joseph visits the club on every 5^th day, Harsh visits on every 24^th day, while Sumit visits on every 9^th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?
1. Monday
2. Wednesday
3. Thursday
4. Sunday

Answer 1

Correct Answer - Option 2 : Wednesday

Given:

Joseph visits the club on every 5^th day,

Harsh visits the club on every 24^th day and

Sumit visits the club on every 9^th 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 360^th day.

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

⇒  360 = 51 × 7 + 3 

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

So, option 2 is correct.