Railways Sample Paper RRB (Group D) Sample Test Paper-2

  • question_answer
    What is the average of the squares of the first 19 natural numbers?

    A)  124                 

    B)  127.5

    C)  130                             

    D)  133.5

    Correct Answer: C

    Solution :

    [c]  \[\because \] Average of the square of the first 19 natural number \[=\frac{n\,\,(n+1)\,\,(2n+1)}{6n}\] \[\Rightarrow \frac{19\,\,(19+1)\,\,(19\times 2+1)}{6\times 19}\] \[\frac{19\times 20\times 39}{\begin{align}   & 6\times 19 \\  & \Rightarrow \,\,130 \\ \end{align}}\]


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