Question

What is the value of $y$ such that $128y46$ is divisible by $11$?

• A. $2$
• B. $3$
• C. $4$
• D. $5$

Answer 1

The correct option is D $5$

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 $11$.

$128546:$
Sum of the odd places $=1+8+4=13$
Sum of the even places $=2+5+6=13$
Difference $=$ Sum of the odd places $-$ Sum of the even places
Difference $=13-13=0$
So, $128546$ is divisible by $11$.
Hence, the value of $y$ is $5$.

So, option D is correct.