If a clock strikes the appropriate number of | vedclass

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Question

(B) clock strikes the number of times corresponding to the hour (e.g.,$1$ time at $1$ o'clock,$2$ times at $2$ o'clock,...,$12$ times at $12$ o'clock)

Vedclass · Accepted Answer

$156$

Vedclass · Answer

(B) clock strikes the number of times corresponding to the hour (e.g.,$1$ time at $1$ o'clock,$2$ times at $2$ o'clock,...,$12$ times at $12$ o'clock).The total number of strikes in $12$ hours is the sum of the first $12$ natural numbers:Sum $= 1 + 2 + 3 + \dots + 12 = \frac{n(n+1)}{2} = \frac{12 	imes 13}{2} = 78$.Since a day consists of $24$ hours,the clock completes two $12$-hour cycles.Total strikes in a day $= 2 	imes 78 = 156$.

If a clock strikes the appropriate number of times at each hour,how many times will it strike in a day?

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