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SSC Sample Paper Mock Test-9 SSC CGL Tear-II Paper-1

  • 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 :

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


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