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Question

Is 10824 divisible by 11?


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Solution

Check whether 10824 is divisible by 11or not:

For a number to be divisible by11, the difference between the sum of digits at odd places and the sum of digits at even places must be 0 or a multiple of 11.

So for 10824,

Sum of digits at odd places =1+8+4=13

Sum of digits at even places =0+2=2

Difference =13-2=11

As the difference between the sum of digits at odd places and the sum of digits at even places is 11, so 10824 is divisible by 11.

Hence, 10824 is divisible by 11.


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