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    Question

    Find the greatest number that divides 130, 190 and 250

    leaving the same remainder in each case.
    A 45 Correct Answer Incorrect Answer
    B 88 Correct Answer Incorrect Answer
    C 60 Correct Answer Incorrect Answer
    D 33 Correct Answer Incorrect Answer

    Solution

    ATQ, If a number leaves the same remainder when dividing several numbers, then that number divides the differences of those numbers. Differences: 190 βˆ’ 130 = 60 250 βˆ’ 190 = 60 250 βˆ’ 130 = 120 So required divisor = HCF of 60, 60, 120 = 60

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