Three bells toll together at intervals of 9, 12 and 15 minutes. If they start tolling together now, after how much time will they toll together next?

1 hour

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2 hours

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3 hours

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4 hours

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Solution

The correct option is C 3 hours
Tolling together for next time means tolling after the least possible minute which is the L.C.M of 9, 12 and 15.

$\begin{matrix} 2 & 9, 12, 15 3 & 9, 6, 15 3, 2, 5 \end{matrix}$

L.C.M of 9, 12 and 15

$= 2 \times 3 \times 3 \times 2 \times 5$

$= 180$ minutes

$= \frac{180}{60}$ hours

$= 3$ hours

Hence, the bells will toll together after 3 hours.

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Three bells toll together at intervals of 9, 12 and 15 minutes. If they start tolling together now, after how much time will they toll together next?

The correct option is C 3 hoursTolling together for next time means tolling after the least possible minute which is the L.C.M of 9, 12 and 15. 29,12,1539,6,153,2,5 L.C.M of 9, 12 and 15 =2×3×3×2×5 =180 minutes =18060 hours =3 hours Hence, the bells will toll together after 3 hours.