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SSC Sample Paper SSC CGL - Sample Paper-22

  • question_answer
    If \[{{1}^{3}}+{{2}^{3}}+{{3}^{3}}+...+{{10}^{3}}=3025,\] then the value of \[{{2}^{3}}+{{4}^{3}}+{{6}^{3}}+...+{{20}^{3}}\]

    A) 6050    

    B) 9075

    C) 12100  

    D) 24200

    Correct Answer: D

    Solution :

    Given that \[{{1}^{3}}+{{2}^{3}}+{{3}^{3}}+{{10}^{3}}=3025\] Now, \[{{2}^{3}}+{{4}^{3}}+{{6}^{3}}+...+{{20}^{3}}\] \[={{2}^{3}}[{{1}^{3}}+{{2}^{3}}+{{4}^{3}}+...+{{10}^{3}}]\]             \[=8\times 3025\]             \[=242000\]


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