Three bells commence tolling together and toll at intervals of 8 seconds, 10 seconds, and 12 seconds, respectively. In 32 minutes, how many times do they toll together?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 16.
Given that,
Three bells commence tolling together and toll at intervals of 8 seconds, 10 seconds, and 12 seconds, respectively.
Time taken to tolled together,
LCM of (8, 10, and 12) = 120 seconds
⇒ 120/60 = 2 minutes
Hence,
In 32 minutes, they tolled together for = 32/2 = 16 times