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    Question

    If '410x8' represents a five-digit number that is

    divisible by 7, determine the sum of all possible values of 'x'.
    A 4 Correct Answer Incorrect Answer
    B 11 Correct Answer Incorrect Answer
    D 15 Correct Answer Incorrect Answer

    Solution

    Divisibility rule of 7 = Difference between blocks of 3 digits numbers taken from right side, should either be '0' or a multiple of '7'.

    Or, (0 + x + 8) - (4 + 1 + 0) = (x + 3) must be either '0' or multiple of '7'.

    So, only possible value of x = 4

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