There are five hobby clubs in a college — photography, yachting, chess, electronics and gardening.
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?
(a) 5
(b) 18
(c) 10
(d) 3
4 views
1 Answers
(d) Here, we need to take the L.C.M. of 2, 3, 4, 5 and 6 to find out the number of days after which all these 5 groups meet on the same day.
So, L.C.M. (2, 3, 4, 5, 6) = 60
We can say that the 5 groups meet on the same day on every 60th day.
Number of times all the 5 groups meet on
the same day within 180 days = 180/60=3
4 views
Answered