Question

What is the missing digit which makes the number $8$_$96$ exactly divisible by $11$?

• A. $1$
• B. $2$
• C. $3$
• D. $0$

Answer 1

The correct option is D $0$

We know the divisibility rule for $11$:
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 $11$.

$8096$:
Sum of the odd places $=8+9=17$
Sum of the even places $=0+6=6$
Difference $=$ Sum of the odd places $-$ Sum of the even places
Difference $=17-6=11$
So, 8036 is divisible by $11$.
Therefore, $0$ is the missing digit.

So, option D is correct.