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SSC Sample Paper SSC CGL - Sample Paper-17

  • question_answer
    If \[{{1}^{3}}+{{2}^{3}}+{{3}^{3}}+{{4}^{3}}+{{5}^{3}}+{{6}^{3}}=441,\] then find the value of \[{{2}^{3}}+{{4}^{3}}+{{6}^{3}}+{{8}^{3}}+{{10}^{3}}+{{12}^{3}}.\]

    A) 882                              

    B) 1323

    C) 1764                            

    D) 3528

    Correct Answer: D

    Solution :

    \[{{1}^{3}}+{{2}^{3}}+{{3}^{3}}+{{4}^{4}}+{{5}^{3}}+{{6}^{3}}=441\] \[{{2}^{3}}+{{4}^{4}}+{{6}^{3}}+{{8}^{3}}+{{10}^{3}}+{{12}^{3}}\] \[=8({{1}^{3}}+{{2}^{3}}+{{3}^{3}}+{{4}^{4}}+{{5}^{3}}+{{6}^{3}})\] \[=8\times 441=3528\]


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