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    Question

    If the sum of the digits of a three digit number is subtracted from that number, then it will always be divisible by

    A 3 only Correct Answer Incorrect Answer
    B 9 only Correct Answer Incorrect Answer
    C Both 3 and 9 Correct Answer Incorrect Answer
    D All of 3, 6 and 9 Correct Answer Incorrect Answer

    Solution

    Let the three digit number be xyz. (100x + 10y +z) -(x + y +z) = 99x - 9y, which is divisible by both 3 and 9. So, the answer would be option c) both 3 and 9

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