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SSC Quantitative Aptitude Basic Calculations Question Bank Square and Cube Root (II)

  • question_answer
    \[\sqrt[3]{{{(216)}^{-\,\,3}}\div {{(343)}^{-\,\,2}}}\] is equal to

    A) \[\frac{36}{156}\]

    B) \[\frac{17}{54}\]

    C) \[\frac{49}{216}\]

    D) \[\frac{49}{412}\]

    Correct Answer: C

    Solution :

    [c] \[\sqrt[3]{{{(216)}^{-3}}\div {{(343)}^{-2}}}\] \[=\sqrt[3]{\frac{{{(343)}^{2}}}{{{(216)}^{3}}}}=\frac{{{7}^{2}}}{{{6}^{3}}}=\frac{49}{216}\]


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