Number $10824$ is divisible by $11 .$

True

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False

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Solution

The correct option is A True
Since as we know the difference between the sum of all digits at even place and odd place is $0$ or multiple of $11 .$
In $10824$
Sum of all digits at odd place = $1 + 8 + 4 = 13 .$
Sum of all digits at even place = $0 + 2 = 2$
Difference between sum of all digits at even place and odd place = $13 - 2 = 11$ which is divisible by $11 .$
Hence, $10824$ is divisible by $11 .$

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Using divisibility tests, determine if the given number is divisible by $11$ :

$10824$

Is $10824$ divisible by $11$ ?

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