Question

Using divisibility test, determine $10824$ is divisible by $11$.

Answer 1

The rule for the divisibility of $11$ states that if the difference between the sums of the alternate digits of the given number is either $0$ or divisible by $11$, then the number is divisible by $11$.
The sum of alternative digit in $10824$ are $1+8+4=13$ and $0+2=2$
The difference between two are: $13-2=11$
$11$ is divisible by $11$.
Hence $10824$ is divisible by $11$.