Question

$26x8y5$ is divisible by $11$. What are the values of $x,y?$

• A. $8$ and $9$
• B. $7$ and $2$
• C. $2$ and $5$
• D. $0$ and $8$

Answer 1

Answer: (A)

$8$ and $9$

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 $11$.

$268895:$
Sum of the odd places $=2+8+9=19$
Sum of the even places $=6+8+5=19$
Difference $=19-19=0$
So, $267825$ is divisible by $11$.
Hence, the value of $x,y$ is $8$ and $9$.

So, option A is correct.