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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) 3
b) 5
c) 9
d) 11
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Number Systems
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Explanation:
Let the number is xy. i.e ten’s digit is x and unit digit is y.
So the number is 10x + y.
After interchanging the new number will be 10y + x.
Add two numbers, (10x + y) + (10y + x) = 11(x + y), which is always divisible by 11.
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(d) 11
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11