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Asked by admin @ 02/08/2021 in Math viewed by 366 People

16. If a clock strikes once at 1 o’clock, twice at 2 o’clock and so on, how many times will

it strike in a day?

Answered by admin @ 02/08/2021

A clock strikes once at 1 o' clock , twice at 2 o' clock and so on.
we have to find out number of strikes in a day .

Do you know, in a day there are 24 hours ?
But a clock made for 12 hours . Means, we have to multiply two times to sum of stikes upto 12 hours .
so, clock strikes serially , 1 , 2 , 3, 4 , ...... 12

here what you observed?
all are in AP because common difference is always 1 .
Now, use sum of n natural number = n(n+1)/2
Here, n = 12
∴ clock strikes in 12 hours = 12(12 + 1)/2 = 78
∴ clock strikes in a day = 2 × 78 = 156

Hence, answer is 156

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