Q. 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
Correct Answer: (b) Wednesday
Question from UPSC Prelims 2021 CSAT Paper
Explanation :
Joseph visits the club on every 5th day
– Joseph visits every 5th day
– Harsh visits every 24th day
– Sumit visits every 9th day
– They first meet on a Sunday
Solution Method:
1. Find LCM of visit intervals (5, 24, 9)
– LCM = 360 days
2. Calculate odd days
– 360 ÷ 7 = 51 weeks + 3 days
– Extra days after complete weeks = 3
3. Count days from Sunday
– Starting day: Sunday
– Add 3 days
– Final day: Wednesday
Answer: (b) Wednesday