Joseph visits the club on every 5th day, Harsh visits on every 24th day, while Sumit visits on every 9th day.

Question

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?

Accepted Answer

To find when all three will meet again, we need to find the Least Common Multiple (LCM) of their visiting intervals.

1.  Calculate the LCM of 5, 24, and 9:
    Prime factorization:
    5 = 5
    24 = 2 x 2 x 2 x 3 = 2^3 x 3
    9 = 3 x 3 = 3^2
    LCM(5, 24, 9) = 2^3 x 3^2 x 5 = 8 x 9 x 5 = 72 x 5 = 360 days.
    So, they will meet again after 360 days.

2.  Determine the day of the week:
    There are 7 days in a week. We need to find the remainder when 360 is divided by 7.
    360 / 7 = 51 with a remainder of 3.
    (360 = 7 x 51 + 3)

3.  Count 3 days forward from Sunday:
    Sunday + 1 day = Monday
    Sunday + 2 days = Tuesday
    Sunday + 3 days = Wednesday

Therefore, they will meet again on a Wednesday.

The final answer is B) Wednesday.

Answer

Monday

Answer

Wednesday

Answer

Thursday

Answer

Sunday

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?

Explanation

Related questions