Samaira heard 3 bells toll together at 10:00 AM. The first bell tolls after 5 second, the second tolls after 9 seconds and the third tolls after 10 seconds. When will they toll together again?

After 2 minutes and 30 seconds

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After 45 seconds

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After 3 minutes

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After 90 seconds

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Solution

The correct option is D After 90 seconds
The bells will ring together at common times. And this time will be a multiple of all the times at which the 3 bells ring individually, that is 5, 9 and 10. We have to find the LCM (least common multiple) of these numbers to know after what time all the 3 bells toll together.
The LCM of 5, 9, 10 is equal to 90.

The factors are 2 , 3, 3 , 5 their product will be the LCM which is 90.

So the bells will together after every 90 seconds.

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