Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes , how many times do they toll together ?

Answer:- 1

Explanation:-

Solution:

LCM of 2, 4, 6, 8, 10, 12 is 120
So the bells will toll together after every 120 seconds, i.e., 2 minutes
In 30 minutes, they will toll together

\begin{aligned} = [(\frac{30}{2}) + 1] \\ = 16 times \end{aligned}

$\eqalign{ & = \left[ {\left( {\frac{{30}}{2}} \right) + 1} \right] \cr & = {\text{16 times}} \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

LCM of 2, 4, 6, 8, 10, 12 is 120
So the bells will toll together after every 120 seconds, i.e., 2 minutes
In 30 minutes, they will toll together

\begin{aligned} = [(\frac{30}{2}) + 1] \\ = 16 times \end{aligned}

$\eqalign{ & = \left[ {\left( {\frac{{30}}{2}} \right) + 1} \right] \cr & = {\text{16 times}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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