A number consists of two digits. If the digits interchange place and the new number is added to the original number, then the resulting number will be divisible by :

Answer: Option D

Let the ten's digit be x and unit's digit be y
Then, number = 10x + y
Number obtained by interchanging the digits = 10y + x
∴ (10x + y) + (10y + x)
= 11(x + y), which is divisible by 11