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There are four hobby clubs in a college viz., painting, photography, chess and dancing. The painting group meets every second day, the photography group meets every third day, the chess group meets every fourth day and the dancing group meets every fifth day. How many times do all the five group meet on the same day with in 240 days?

There are four hobby clubs in a college viz., painting, photography, chess and dancing. The painting group meets every second day, the photography group meets every third day, the chess group meets every fourth day and the dancing group meets every fifth day. How many times do all the five group meet on the same day with in 240 days? Correct Answer 4

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