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SSC Sample Paper SSC CGL - Sample Paper-22

  • question_answer
    If \[{{(3.7)}^{x}}={{(0.037)}^{y}}=10000,\] then what is the value of \[\frac{1}{x}-\frac{1}{y}?\]

    A) 1                     

    B) 2

    C) 1/2       

    D) ¼

    Correct Answer: C

    Solution :

    Given, \[{{(3.7)}^{x}}={{(0.037)}^{y}}=10000\] \[\Rightarrow \]   \[{{(3.7)}^{x}}={{10}^{4}}\] and \[{{(0.037)}^{y}}={{10}^{4}}\] \[\Rightarrow \]   \[37={{10}^{\frac{4}{x}+1}}\] and \[37={{10}^{\frac{4}{y}+3}}\] \[{{10}^{\frac{4}{x}+1}}={{10}^{\frac{4}{y}+3}}\] \[\Rightarrow \] \[\frac{1}{x}-\frac{1}{y}=\frac{1}{2}\]               


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