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

  • question_answer
    If \[\sqrt{1+\frac{x}{144}}=\frac{13}{12},\] then the value of x is

    A) 0

    B) 12

    C) 13

    D) 25

    Correct Answer: D

    Solution :

    [d] \[\sqrt{1+\frac{x}{144}}=\frac{13}{12}\] \[\Rightarrow \]   \[\left( 1+\frac{x}{144} \right)={{\left( \frac{13}{12} \right)}^{2}}=\frac{169}{144}\] \[\Rightarrow \]   \[\frac{x}{144}=\left( \frac{169}{144}-1 \right)=\frac{(169-144)}{144}\] \[=\frac{25}{144}\]\[\Rightarrow \]\[x=25\]


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