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

  • question_answer
    While solving a problem, Samidha squared a number and then subtracted 25 from it rather than the required, i.e., first subtracting 25 from the number and then squaring it. But she got the right answer. What was the given number?

    A) 13

    B) 38

    C) 48

    D) 23

    Correct Answer: A

    Solution :

    [a] Let the given number be x. Then, \[{{x}^{2}}-25={{(x-25)}^{2}}\] \[\Rightarrow \]   \[{{x}^{2}}-25={{x}^{2}}+625-50x\] \[\Rightarrow \]   \[50x=650\] \[\Rightarrow \]   \[x=13.\] Hence, the given number is 13.


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