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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