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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?
- A.Monday
- B.Wednesday
- C.Thursday
- D.Sunday
▶ Answer & Explanation
Correct answer: B. Wednesday
The problem requires finding the next day all three individuals meet. This occurs after a period equal to the Least Common Multiple (LCM) of their visiting cycles: 5, 24, and 9 days. The LCM of 5, 24, and 9 is 360. Since they met on a Sunday, we need to find the day of the week 360 days after Sunday. 360 days is equivalent to 51 weeks and 3 days (360 = 51 * 7 + 3). Therefore, they will meet again 3 days after Sunday, which is a Wednesday.
Source: UPSC csat 2021