Three cannons fire shots at intervals of 12 seconds, 18 seconds and 60 seconds respectively. If they start firing at the same time, then after how many seconds will they fire together again?

3 minutes

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4 minutes

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5 minutes

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6 minutes

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Solution

The correct option is A
3 minutes

$\begin{matrix} 2 & 12, 18, 60 2 & 6, 9, 30 3 & 3, 9, 15 3 & 1, 3, 5 5 & 1, 1, 5 1, 1, 1 \end{matrix}$
Time after which the cannons fire together = L.C.M of 12, 18, 60 $= 2 \times 2 \times 3 \times 3 \times 5 = 180 seconds = 3 minutes$

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Three cannons fire shots at intervals of 12 seconds, 18 seconds and 60 seconds respectively. If they start firing at the same time, then after how many seconds will they fire together again?

The correct option is A 3 minutes 212,18,6026,9,3033,9,1531,3,551,1,51,1,1 Time after which the cannons fire together = L.C.M of 12, 18, 60 = 2×2×3×3×5=180 seconds=3 minutes

The correct option is A
3 minutes

$\begin{matrix} 2 & 12, 18, 60 2 & 6, 9, 30 3 & 3, 9, 15 3 & 1, 3, 5 5 & 1, 1, 5 1, 1, 1 \end{matrix}$
Time after which the cannons fire together = L.C.M of 12, 18, 60 $= 2 \times 2 \times 3 \times 3 \times 5 = 180 seconds = 3 minutes$