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Question

Is 9856 divisible by 11?


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Solution

A number is divisible by 11 if the sum of the digits in the odd places and the sum of the digits in the even places difference is a multiple of 11 or zero.

The given number is 9856.

The Sum of the digits at odd places is 9+5=14

The Sum of the digits at even places is 8+6=14

Their difference =14-14=0. As 0 is divisible by 11.

Therefore, 9856 is divisible by 11.


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