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    Question

    Find the greatest number which when divide 28, 82 & 109

    leave a same remainder 1 in each case?
    A 27 Correct Answer Incorrect Answer
    B 18 Correct Answer Incorrect Answer
    C 29 Correct Answer Incorrect Answer
    D 14 Correct Answer Incorrect Answer

    Solution

    The greatest number which when divide 28,82 & 109 leave a same remainder 1 in each case = HCF (28 - 1, 82 -1 , 109 - 1 ) = HCF (27, 81, 108 ) = 27.

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