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SSC Sample Paper SSC CGL - Sample Paper-28

  • question_answer
    The sum of the square of a number and the square of the reciprocal of the number, is thrice the difference of the square of the number and the square of the reciprocal of the number. What is the number?

    A) 1                                 

    B) \[{{(2)}^{\frac{1}{4}}}\]

    C) \[{{(3)}^{\frac{1}{3}}}\]                                 

    D) \[{{(4)}^{\frac{1}{4}}}\]

    Correct Answer: B

    Solution :

    Let number be x, then its reciprocal be\[\frac{1}{y}\] By given condition,             \[{{x}^{2}}+\frac{1}{{{x}^{2}}}=3\left( {{x}^{2}}-\frac{1}{{{x}^{2}}} \right)\] \[\therefore \]    \[{{x}^{2}}+\frac{1}{{{x}^{2}}}=3{{x}^{2}}-\frac{3}{{{x}^{2}}}\] \[\Rightarrow \]   \[2{{x}^{2}}=\frac{4}{{{x}^{2}}}\] \[\Rightarrow \]   \[{{x}^{4}}=2\] \[\Rightarrow \] \[x={{(2)}^{1/4}}\]


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