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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
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- 11
- 9
- 5
- 3
Correct Option: A
Let the number be 10a + b .
After interchanging the digits, the number obtained = 10b + a.
According to the question,
Resulting number = 10a + b + 10b + a
Resulting number = 11a + 11b
Resulting number = 11 (a + b)
which is exactly divisible by 11.
