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    Question

    If '5731x7' is a six-digit number which is divisible by

    33, then calculate the value of 'x'.
    A 5 Correct Answer Incorrect Answer
    B 4 Correct Answer Incorrect Answer
    C 7 Correct Answer Incorrect Answer
    D 3 Correct Answer Incorrect Answer

    Solution

    Since, 33 = 11 x 3

    So, 5731x7 is divisible by both 11 and '3'.

    Since, the given number divisible by 3, sum of all the digits in the given number should be divisible by '3'.

    So, (23 + x) should be a multiple of 3

    So, 'x' can be 1, 4 or 7

    Since, the given number divisible by 11, the difference of the sum of the digits at even place and sum of the digits at odd place should be zero or a multiple of 11

    So, (5 + 3 + x) - (7 + 1 + 7) = 0 or multiple of 11

    Or, (8 + x - 15) should be 0 or multiple of 11

    So, 'x' will be 7

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