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Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-23

  • question_answer
    If x = 27and \[\sqrt[3]{x}+\sqrt[3]{y}=\sqrt[3]{729},\]then y is equal to

    A)  64                   

    B)  125

    C)  216     

    D)  81

    Correct Answer: C

    Solution :

    \[\because \,\,\,\,\,\,\,\,\,x=27\]
    18 7 16
    8 3 10
    10 4 ?
    \[\therefore \]\[\sqrt[3]{x}+\sqrt[3]{y}=\sqrt[3]{729}\] \[\Rightarrow \]\[\sqrt[3]{27}+\sqrt[3]{y}=9\,\,\,\,\,\Rightarrow \,\,\,\,\,3+\sqrt[3]{y}=9\] \[\Rightarrow \]   \[\sqrt[3]{y}=-\,3=6\] \[\therefore y={{(6)}^{3}}=216\]         


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