Bissoy.com
Doctors Medicines MCQs Q&A

Six bells begin to toll together and toll, respectively, at intervals of 3, 4, 6, 7, 8 and 12 seconds. After how many seconds, will they toll together again?

Six bells begin to toll together and toll, respectively, at intervals of 3, 4, 6, 7, 8 and 12 seconds. After how many seconds, will they toll together again? Correct Answer 168

Given:

The six bells toll at intervals of 3, 4, 6, 7, 8, and 12 seconds

Calculation:

Prime factors of 3 = 3

Prime factors of 4 = 2 × 2

Prime factors of 6 = 2 × 3

Prime factors of 7 = 7

Prime factors of 8 = 2 × 2 × 2

Prime factors of 12 = 2 × 2 × 3

LCM of 3, 4, 6, 7, 8, and 12 = 2 × 2 × 2 × 3 × 7 = 168

∴ The six bells will toll together again after 168 seconds

Related Questions

Five bells begin to toll together at intervals of 9 seconds, 6 seconds, 4 seconds, 10 seconds and 8 seconds respectively. Starting together, how many times will the bells toll together in a span of 1 hour?
Six bells begin to toll together and toll respectively at intervals of 5, 6, 10, 12,15, and 18 seconds. After how many second will they toll together again?
Five bells begin to toll together and toll respectively at intervals of 6, 7, 8, 9 and 12 seconds. After how many seconds will they toll together again ?
Four bells begin to toll together and toll respectively at intervals of 6, 7, 8 and 9 seconds. In 1.54 hours, how many times do they toll together and in what interval (seconds)?
Five bells begin to toll together and they toll at intervals of 6, 5, 7, 10 and 12 seconds respectively. How many times they toll together in one hour excluding the one at the start ?
Five bells begin to toll together and toll respectively at intervals of 6, 5, 7, 10 and 12 seconds. How many times will they toll together in one hour excluding the one at the start ?
Six bells toll together at a certain time and after that each keeps on tolling at an interval of 5, 10, 15, 20, 25, 30 seconds. After how many seconds will they toll together again?
Four bells begin to toll together at the intervals of 5 second, 6 second, 7 second and 8 second respectively. How many times will they toll together in the span of 2 hours? (Considering that they have tolled once at the start)
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?
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?