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SSC Quantitative Aptitude Basic Calculations Question Bank Square and Cube Root (I)

  • question_answer
                If \[\sqrt{1+\frac{5}{144}}=\left( 1+\frac{x}{12} \right),\] then the value of x is

    A) 1

    B) 2

    C) 5

    D) 9

    Correct Answer: A

    Solution :

    [a]\[\sqrt{\frac{169}{144}}=\left( 1+\frac{x}{12} \right)\] \[\Rightarrow \]   \[\left( 1+\frac{x}{12} \right)=\frac{\sqrt{169}}{\sqrt{144}}=\frac{13}{12}\] \[\Rightarrow \]   \[\frac{x}{12}=\left( \frac{13}{12}-1 \right)=\frac{1}{12}\] \[\Rightarrow \]   \[x=1\]


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