Question

In order that the number $1y3y6$ is divisible by $11$, the digit $y$ should be

• A. $1$
• B. $2$
• C. $5$
• D. $6$

Answer 1

Answer: (C)

$5$

The divisibility of $11$ says that the difference in the sum of digits at even place to the digits at odd place must be either divisible by $11$ or should be $0$
Here, the sum of digits at odd place is $10$
Sum of digits at even place $=2y$
The only possibility is $2y-10=0$
$\Rightarrow y=5$

Hence, the answer is $5$.