Question

$2783z6$ is a multiple of $11$. Find the value of $z$.

• 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 $11$.

$278366:$
Sum of the odd places $=2+8+6=16$
Sum of the even places $=7+3+6=16$
Difference $=16-16=0$
So, $278366$ is divisible by $11$.
The value of $z$ is $6.$

So, option B is correct.