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There are five hobby clubs in a college viz., photography, yachting, chess, electronics and gardening. The gardening group meets every second day, the electronics group meets every third day, the chess group meets every fourth day, the yachting group meets every fifth day and the photography group meets every sixth day. How many times do all the five groups meet on the same day within 180 days?

There are five hobby clubs in a college viz., photography, yachting, chess, electronics and gardening. The gardening group meets every second day, the electronics group meets every third day, the chess group meets every fourth day, the yachting group meets every fifth day and the photography group meets every sixth day. How many times do all the five groups meet on the same day within 180 days? Correct Answer 3

Five hobby clubs - photography, yachting, chess, electronics and gardening.

The gardening group meets every second day, the electronics group meets every third day, the chess group meets every fourth day, the yachting group meets every fifth day and the photography group meets every sixth day.

L.C.M of 2, 3, 4, 5 and 6 is 60.

Therefore, number of times do all the five groups meet on the same day within 180 days = 180 ÷ 60

= 3 times

Hence, ‘3’ is the correct answer.   

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