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SSC Sample Paper Mock Test-6 SSC CGL Tear-II Paper-1

  • question_answer
    If \[{{5}^{\sqrt{x}}}+{{12}^{\sqrt{x}}}={{13}^{\sqrt{x}}},\]then x is equal to

    A)  \[\frac{25}{4}\]

    B)  4

    C)  9

    D)  16

    Correct Answer: B

    Solution :

    \[{{5}^{\sqrt{x}}}+{{12}^{\sqrt{x}}}={{13}^{\sqrt{x}}}\] we know that \[{{5}^{2}}+{{12}^{2}}={{13}^{2}}\] \[\Rightarrow \]   \[\sqrt{x}=2\] \[\therefore \]      \[x={{2}^{2}}=4\]


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