A number consists of two digits. If the number formed by interchanging the digit

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Question

A number consists of two digits. If the number formed by interchanging the digits is added to the original number, the resulting number (i.e. the sum) must be divisible by

Options:

A . 9

B . 11

C . 3

D . 5

Answer: Option B
Answer: (b)Let the number be 10x + y After interchanging the digits, the number obtained = 10y + x According to the question, Resulting number = 10x + y + 10y + x = 11x + 11y = 11 (x + y) which is exactly divisible by 11.

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