SSC Sample Paper SSC CGL - Sample Paper-26

  • question_answer
    If \[{{2}^{m}}+{{2}^{l+m}}=24,\] then what is the value of m?

    A) 0                                 

    B) 1

    C) 3                     

    D) 6

    Correct Answer: C

    Solution :

    Given, \[{{2}^{m}}+{{2}^{l+m}}=24\] \[\therefore \]      \[{{2}^{m}}(1+2)=24\] \[\Rightarrow \]   \[{{2}^{m}}\times 3=24\] \[\Rightarrow \]   \[{{2}^{m}}=8={{2}^{3}}\] \[\Rightarrow \]   \[m=3\]


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