QUESTION

CSAT

Easy

Reasoning

Prelims 2021

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?

Select an option to attempt

Explanation

Joseph visits the club every 5th day.

Harsh visits the club every 24th day.

Sumit visits the club every 9th day.

The next time they will meet again will be the LCM of these time-periods.

LCM (5,24,9)=360(5, 24, 9) = 360

So, all the three will meet 360 days after Sunday. Now, we need not count 360 days.

Rather we will use the concept of odd days.

Odd number of days in 360 = Remainder when 360 is divided by 7 = 3

So, they will meet again on Sunday + 3 = Wednesday

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