Railways Sample Paper RRB (Group D) Sample Test Paper-11

  • question_answer
    The greatest among the following numbers \[{{(3)}^{\frac{1}{3}}},\,\,{{(2)}^{\frac{1}{2}}},\,\,1,\,\,{{(6)}^{\frac{1}{6}}}\,\,is:\]

    A)  \[{{(2)}^{\frac{1}{2}}}\]        

    B)  1

    C)  \[{{(6)}^{\frac{1}{6}}}\]                    

    D)  \[{{(3)}^{\frac{1}{3}}}\]

    Correct Answer: D

    Solution :

    [d] LCM of 3, 2 and 6 =6 \[\therefore \,\,\,{{(3)}^{\frac{1}{3}}}={{({{3}^{2}})}^{\frac{1}{6}}}={{(9)}^{\frac{1}{6}}}\] \[{{2}^{\frac{1}{2}}}={{({{2}^{3}})}^{\frac{1}{6}}}={{(8)}^{\frac{1}{6}}}\] \[{{(1)}^{\frac{1}{6}}}=1\,\,;\,\,{{(6)}^{\frac{1}{6}}}={{(6)}^{\frac{1}{6}}}\]


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