Three electronic bells are fixed in three adjoining temples. The priests of these temples decided to ring the bells at different times with the intervals of 2, 3 and 5 min. If the bells start tolling together for the first time at 8:00:00 in the morning. up to 9:00:00 in the morning they will toll together:

Correct option is B

Given:

Bell rang at intervals of2, 3 and 5 minutes

Solution:

To find how many times the bells will toll together between 8:00:00 AM and 9:00:00 AM, we first need to calculate the Least Common Multiple (LCM) of their intervals.

The intervals are 2, 3, and 5 minutes.
 2, 3, and 5 are prime numbers, the LCM is their product:
LCM(2, 3, 5) = $$2 \times 3 \times 5$$​ = 30 minutes
The bells toll together every 30 minutes. They first toll together at 8:00:00 AM. The next time they toll together is at 8:30:00 AM, and the final time is at 9:00:00 AM.
From 8:00:00 AM to 9:00:00 AM, the bells toll together 3 times: at 8:00, 8:30, and 9:00.
Thus, the bells will toll together 3 times between 8:00:00 AM and 9:00:00 AM.