Six bells commence tolling together and toll at intervals

Asked by admin @ 20/08/2021 in Math viewed by 208 People

six bells commence tolling together and toll at intervals 2,4,6,8,10,12,min respectively in 30 hours , how many times do they toll together ?

Answered by admin @ 20/08/2021

In this type of question
First take out LCM OF 2, 4, 6, 8, 10, 12
1, 2, 3, 4, 5, 6 .................. 2
1, 1, 3, 2, 5, 3 ................... 2
1, 1, 1, 2, 5, 1 .................... 3
1, 1, 1, 1, 5, 1 .................... 2
1, 1, 1, 1, 1, 1 ..................... 5
LCM (2 x 2 x 2 x 3 x5) = 120
That means in 120 min = 2 hours
In 30 hours they commenced =30 / 2 = 15
Total times they commenced = 15 + 1 (initial)
= 16 times

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Six bells commence tolling together and toll at intervals

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