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

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

3

[B].

5

[C].

9

[D].

11

Answer: Option D

Explanation:

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.

Video Explanation: https://youtu.be/lytJE8GqRvM