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? 

(a) 3 (b) 5 (c) 10 (d) 18

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1 Answers

(a) Take the LCM. of 2, 3, 4, 5, 6 = 60

So every 60th day all five hobby clubs meet. So in a period of 180 days they meet thrice i.e. on 60th, 120th and 180th day.

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