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My new wrist-watch makes a beep sound, in every hour, as many as the time it shows. Find how many beeps the watch will make in a day?

96
156
120
182
Explanation:

The wall clock makes 1 beep when it shows time 1.
It makes 2 beeps when it shows time 2.
Similarly, it makes 12 beeps when the time is 12.
Then the total number of beeps = 1 + 2 + 3 + ... + 12
1, 2, 3,...12 is series of natural numbers from 1 to 12. Hence totally 12 terms.
We know that, the sum of n natural numbers is [n(n+1)]/2= (12*13)/2 = 78
That is, it makes 78 beeps in 12 hours.
Since a day has 24 hours, then the required number of beeps = 2 x 78 = 156.

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