Question

Find the values of $x$ and $y$ such that $32x1y9$ is divisible by $11$?

• A. $6$ and $2$
• B. $2$ and $7$
• C. $1$ and $6$
• D. $4$ and $2$

Answer 1

The correct option is B $2$ and $7$

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 $11$.

$322179$:
Sum of the odd places $=3+2+7=12$
Sum of the even places $=2+1+9=12$
Difference $=$ Sum of the odd places $-$ Sum of the even places
Difference $=12-12=0$
So, $322179$ is divisible by $11$.
Hence, the value of $x$ and $y$ is $2$ and $7$.

So, option B is correct.