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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-8

  • question_answer
    If \[\frac{5x-3}{x}+\frac{5y-3}{y}+\frac{5z-3}{z}=0.\]then the value of \[\frac{1}{x}+\frac{1}{y}+\frac{1}{z}\] is

    A)  5                                

    B)  10

    C)  15                               

    D)  3

    Correct Answer: A

    Solution :

    \[\frac{5x-3}{x}+\frac{5y-3}{y}+\frac{5z-3}{z}=0\] \[\Rightarrow \]\[\frac{5x}{x}-\frac{3}{x}+\frac{5y}{y}-\frac{3}{y}+\frac{5z}{z}-\frac{3}{z}=0\] \[\Rightarrow \]\[\frac{3}{x}+\frac{3}{y}+\frac{3}{z}=15\] \[\Rightarrow \]\[\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=\frac{15}{3}=5\]


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