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    Question

    Let N be the greatest number that will divide 85, 116,

    147 leaving the same remainder in each case. Then sum of the digits in N is:
    A 9 Correct Answer Incorrect Answer
    B 7 Correct Answer Incorrect Answer
    C 4 Correct Answer Incorrect Answer
    D 6 Correct Answer Incorrect Answer

    Solution

    To find the greatest number that leaves common remainder in each case, The HCF of (116-85), (147-85), (147-116) = 31 In this case the number will be 31. And sum of digits will be = 4

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