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

  • question_answer
    If the square of a number is subtracted from the cube of that number, the result is 48, then the number is

    A) 8

    B) 6

    C) 5

    D) 4

    Correct Answer: D

    Solution :

    [d] Let number be \[x.\] \[\therefore \]      \[{{x}^{3}}-{{x}^{2}}=48\] \[\Rightarrow \]   \[{{x}^{2}}(x-1)={{4}^{2}}\times 3\] \[\Rightarrow \]   \[{{x}^{2}}={{4}^{2}}\]\[\Rightarrow \]\[x=4\]


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