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SSC Sample Paper SSC CGL - Sample Paper-24

  • question_answer
    If\[{{1}^{3}}+{{2}^{3}}+...+{{10}^{3}}=3025,\]then \[4+32+108+....+4000\] is equal to

    A) 12000              

    B) 12100

    C) 12200              

    D) 12400

    Correct Answer: B

    Solution :

    \[\because \] \[{{I}^{3}}+{{2}^{3}}+....+{{10}^{3}}=3025\] Now, \[4+32+108+....+4000\]             \[=4[1+8+27+....+1000]\]             \[=4[1+{{3}^{3}}+{{3}^{3}}+....+{{10}^{3}}]\]             \[=4\times 3025\] \[=12100\]


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