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Discussion :: Problems on Numbers

  1. 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:
    2. A.

    3
    B.

    5
    C.

    9
    D.

    11

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    Answer : Option D

    Explanation :

    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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