Subject

    Quantitative Aptitude

    Topic

    Number

    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:

    ক)
    3
    খ)
    5
    গ)
    9
    ঘ)
    11

    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. Now, adding both number we get, (10x + y) + (10y + x) = 11x + 11y = 11(x + y), Which is divisible by 11.

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