Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-26

  • question_answer
    The HCF and LCM of the two numbers x and y are respectively 3 and 105. If x + y=36, then\[\frac{1}{x}+\frac{1}{y}\]is equal to

    A)  35                   

    B)  3

    C)  \[\frac{4}{35}\]            

    D)  \[\frac{1}{35}\]

    Correct Answer: C

    Solution :

    We know that, \[HCF\times LCM=\]Product of two numbers \[\therefore \]      \[xy=3\times 105=315\] \[\therefore \]      \[\frac{1}{y}+\frac{1}{x}\,\,\frac{x+y}{xy}=\frac{36}{315}=\frac{4}{35}\]

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