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Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-3

  • question_answer
    If \[\sqrt{{{2}^{n}}}=64,\] the value of n is

    A)  12                   

    B)  6

    C)  4                    

    D)  2

    Correct Answer: A

    Solution :

    \[\sqrt{{{2}^{n}}}=64\] Squaring both sides, \[{{2}^{n}}=64\times 64={{(2)}^{6}}\times {{(2)}^{6}}\] \[\Rightarrow \]   \[{{2}^{n}}={{(2)}^{12}}\] \[\therefore \]      \[n=12\]


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