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Multiple Choice Questions

There are five hobby clubs in a college mdash photography yachting chess electronics and gardening T...........

Math and Mental Ability LCM, HCF

There are five hobby clubs in a college —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?

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Explanation:

5 hobby groups - photography, yachting, chess electronis and gardening.
Gardening - Meets every second day hence = 90 times in 180 days.
Electronis group meets every third day = 60 times / 180
Chess group meets every 4th day = 45 times / 180
Yachting group meets every 5th day = 36 times / 180
Photography group meets every 6th day = 30 times / 180
We have to find highest common factor of these 5 numbers 90, 60, 45, 36 and 30. It is 3.

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