Question

What is the missing digit which makes the number $347$_ exactly divisible by $11$?

• A. $5$
• B. $6$
• C. $7$
• D. $8$

Answer 1

The correct option is B $6$

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 $11$.

$3476$:
Sum of the odd places $=3+7=10$
Sum of the even places $=4+6=10$
Difference $=$ Sum of the odd places $-$ Sum of the even places
Difference $=10-10=0$
So, $3476$ is divisible by $11$.
Therefore, $6$ is the missing digit.

So, option B is correct.