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SSC Sample Paper SSC CGL - Sample Paper-8

  • question_answer
    \[[{{1}^{3}}+{{2}^{3}}+{{3}^{3}}+....+{{9}^{3}}+{{10}^{3}}]\] is equal to

    A)  3575   

    B)  2525

    C)  5075                           

    D)  3025

    Correct Answer: D

    Solution :

    Using formula, \[{{1}^{3}}+{{2}^{3}}+{{3}^{3}}+....+{{n}^{3}}\] \[={{\left\{ \frac{n(n+1)}{2} \right\}}^{2}}\] \[{{1}^{3}}+{{2}^{3}}+{{3}^{3}}+....+{{10}^{3}}\]             \[={{\left( \frac{10\times 11}{2} \right)}^{2}}={{(55)}^{2}}\]             \[=55\times 55=3025\]


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