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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
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B
5
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C
9
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D
11
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Solution

The correct option is D 11
Let the given number be (10x+y) where the ten's digit is x and one(unit)'s digit is y.

Now, the number obtained by interchanging the digits=(10y+x)

On adding these no.'s =(10x+y)+(10y+x)

=11(x+y)

where 11(x+y) is clearly divisible by 11

Option D:11.

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