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    Question

    When 6892, 7105 and 7531 are divided by the greatest

    number x, then the remainder in each case is the same. The sum of the digits of x is:
    A 9 Correct Answer Incorrect Answer
    B 7 Correct Answer Incorrect Answer
    C 13 Correct Answer Incorrect Answer
    D 6 Correct Answer Incorrect Answer

    Solution

    6892, 7105, 7531 7105-6892 = 213 7531-7105 = 426 7531-6892 = 639 HCF of 213, 426 and 639 are 213. x = 213 Now, dividing any of 6892, 7105, or 7531 we get the remainder = 76 y = 76 sum of digits┬а of value X=2+1+3=6

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