Question

Which one of the following numbers is exactly divisible by $11$?

• A. $235641$
• B. $245642$
• C. $315624$
• D. $415624$

Answer 1

The correct option is D $415624$

If the difference of the sum of its digits at odd places and sum of its digits at even places is either $0$ or a number divisible by $11$.

$(4+5+2)-(1+6+3)=1$, not divisible by $11$.
$(2+6+4)-(4+5+2)=1$ not divisible by $11$.
$(4+6+1)-(2+5+3)=1$, not divisible by $11$.
$(4+6+1)-(2+5+4)=0$.

So, $415624$ is divisible by $11$.