The problem involves finding the least common multiple (LCM) of the given intervals. The LCM of 9, 12, and 15 minutes is 180 minutes or 3 hours.
Option 1: 8.45 am is only 45 minutes after 8 am i.e. it is before first common toll of all three bells.
Option 2: 10.30 am is 2.5 hours (or 150 minutes) after 8 am which is also less than the LCM (180 minutes or 3 hours). Hence, all three bells wouldn`t toll together at this time.
Option 3: 11 am is exactly 3 hours after 8 am. Therefore, all three bells would toll together exactly at this time because 3 hours is the LCM of the specified intervals.
Option 4: 1.30 pm is 5.5 hours after 8 am. This is past the time the bells first toll together.
So, the correct response is Option 3: 11 am.