Four bells commence tolling together and then toll at intervals of 6, 7, 8 and 9 seconds respectively. After how many seconds do all the bells ring together?

516

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504

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508

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512

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Solution

The correct option is B 504
We know that bell 1 tolls after every 6 seconds, bell 2 after 7 seconds and so on. To find after how many seconds do the bells toll together, we need to find the LCM of the given numbers.
$∴$ L.C.M = 2 $\times$ 3 $\times$ 7 $\times$ 4 $\times$ 3 = 504
These bells toll together after 504 seconds.

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Four bells commence tolling together and then toll at intervals of 6, 7, 8 and 9 seconds respectively. After how many seconds do all the bells ring together?

The correct option is B 504We know that bell 1 tolls after every 6 seconds, bell 2 after 7 seconds and so on. To find after how many seconds do the bells toll together, we need to find the LCM of the given numbers. ∴ L.C.M = 2 × 3 × 7 × 4 × 3 = 504 These bells toll together after 504 seconds.