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SSC Sample Paper SSC CGL - Sample Paper-4

  • question_answer
    The sum of the square of three consecutive natural number is 2030. Then what is tl, middle number?

    A)  25                               

    B)  26

    C)  27                   

    D)  28

    Correct Answer: B

    Solution :

    Let the three consecutive natural Numbers are n, n +1 and n + 2. According to question,             \[{{n}^{2}}+{{(n+1)}^{2}}+{{(n+2)}^{2}}=2030\] Or \[{{n}^{2}}++{{n}^{2}}+2n+1+{{n}^{2}}+4n+4=2030\] Or         \[3{{n}^{2}}+6n-2025=0\] Or         \[{{n}^{2}}+2n-675=0\] Or         \[(n+27)(n-25)=0\] Or         \[n=25\]                                        \[[\because n\ne -\,27]\] \[\therefore \]      Middle number \[=n+1=25+1=26\]


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