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SSC Quantitative Aptitude LCM & HCF Question Bank LCM and HCF (II)

  • question_answer
    The largest number which divides 77, 147 and 252 to leave the same remainder in each case is

    A) 9

    B) 15

    C) 25

    D) 35

    Correct Answer: D

    Solution :

    [d] Required number = HCF of \[(147-77),\,\text{(}252-147)\] and \[(252-77)\] = HCF of 70, 105 and 175 = 35 \[\left[ \begin{align}   & 70-2\times 5\times 7,105=5\times 3\times 7 \\  & \text{and}\,\,175=5\times 5\times 7 \\  & \therefore \text{HCF}=5\times 7=35 \\ \end{align} \right]\]


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