TISSNET 2014

Question 65

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?

Solution

They toll together  after every LCM(2,4,6,8,10,12) seconds = 120 seconds

In 30 min, $$\frac{30\cdot60}{120}\ =\ 15$$

15+1 = 16 times 


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