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Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-42

  • question_answer
    The sum of two numbers is 24 and their product is 143. The sum of their squares is     [SSC (CGL) 2011]

    A) 296                              

    B) 295

    C) 290                  

    D) 228

    Correct Answer: C

    Solution :

    Let the numbers be x and y.
    \[\therefore \]      \[x+y=24\]
    and       \[xy=143\]
    From formula,
    \[{{x}^{2}}+{{y}^{2}}={{(x+y)}^{2}}-2xy\]
    \[={{(24)}^{2}}-2\times 143\]
    \[=576-286\]
    \[=290\]


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