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    Question

    If '3849x' is a five digit number which is divisible by 91,

    then find the value of 'x'.
    A 7 Correct Answer Incorrect Answer
    B 9 Correct Answer Incorrect Answer
    C 3 Correct Answer Incorrect Answer
    D 2 Correct Answer Incorrect Answer

    Solution

    Since, 91 = 13 X 7

    So, the number must be divisible by '7'

    Divisibility by '7': If we make two groups each having three digits, taken from right to left and subtract the two groups and the resultant is divisible by '7', then the number if divisible by '7'.

    So, {49x} - {038} must be divisible by '7'

    Only x = 3 will satisfy the above condition as 493 - 38 = 455 which is divisible by 7

    So, x = 3

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