Five bells begin to toll together at intervals of 9 second 6 second 4 second 10 second and 8 second respectively. How many times will they toll together in the span of one hour (excluding the toll at the star)
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10 times.
Step-by-step explanation:
The five bells begin to toll together at intervals of 9 seconds 6 seconds 4 seconds 10 seconds and 8 seconds respectively.
Now, if they toll together right now, then they will together again after an interval which is the least common multiple of 9, 6, 4, 10 and 8 seconds.
So, we have to find the L.C.M of those five numbers which is 360 seconds.
Now, 3600 seconds = 1 hour.
Therefore, within an interval of 3600 seconds, the bells will toll together by times excluding the toll at the start. (Answer)
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