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Mathematics · 2024 · 2 marks
CBSE 2024 · Region 4 · Set 1 · Q21
Three bells toll at intervals of $\displaystyle 9$, $\displaystyle 12$ and $\displaystyle 15$ minutes respectively. If they start tolling together, after what time will they next toll together ?
Marking-scheme solution
\[\begin{aligned}
& 9=3^{2} \\
& 12=2^{2} \times 3 \\
& 15=3 \times 5 \\
& \text { L.C.M }=2^{2} \times 3^{2} \times 5=180
\end{aligned}
\]
Three bells will toll together after $\displaystyle 180$ min.
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