Question

Using divisibility test, determine $901153$ 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 , $11$ the number is divisible by $11$.
The sum of alternative digit in $901153$ are $9+1+5=15$ and $0+1+3=4$
The difference between two are: $15-4=11$
But $11$ is divisible by $11$.
Hence $901153$ is divisible by $11$.