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A clock strikes once at 1 O’clock, twice at 2 O’clock, thrice at 3 O’clock and so on. How many times will it strike in 24 hours?
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- 78
- 136
- 156
- 196
Correct Option: C
As per the given above question , we know that 2 × sum of natural numbers upto n = 2 × n × (n + 1 ) . 2
Number of strike = 2( 1 + 2 + 3 + … … + 12) = | 2 x 12 x (12 + 1 ) | = 12 x 13 = 156 | . |
2 |
Thus ,it will strike 156 times in 24 hours .