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SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-3

  • question_answer
    The sum of a number and its reciprocal \[\frac{10}{3}\] is, then the numbers are:

    A) \[3,\frac{1}{3}\]             

    B) \[3,-\frac{1}{3}\]

    C) \[-3,\frac{1}{3}\]           

    D) \[-3,-\frac{1}{3}\]

    Correct Answer: A

    Solution :

    Let the numbers are x and\[\frac{1}{x}\]. Then \[x+\frac{1}{x}=\frac{10}{3}\Rightarrow \frac{{{x}^{2}}+1}{x}=\frac{10}{3}\] \[\Rightarrow \]   \[3{{x}^{2}}-10x+3=0\] \[\Rightarrow \]   \[3{{x}^{2}}-9x-x+3=0\] \[\Rightarrow \]   \[3x(x-3)-1(x-3)=0\] \[\Rightarrow \]   \[(3x-1)(x-3)=0\]\[\Rightarrow \]


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