Question

Determine whether $10824$ is divisible by $11$

Answer 1

Checking divisibility by $11$-

Divisibility by $11$ : A number is divisible by $11$ if the difference of sum of digits of alternate places is divisible by $0$ or $11$.

Here the sum of digits at odd places

$1+8+4=13$

And,

the sum of digits at even places

$0+2=2$

Therefore , difference of above sum is -

$13-2=11$

Difference is $11$ which is divisible by $11$.

Hence , $10824$ is divisible by $11$