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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 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: Correct Answer 11

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

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