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SSC Sample Paper SSC CGL - Sample Paper-27

  • question_answer
    \[\left( \frac{785\times 785\times 785+435\times 435\times 435}{{{(785)}^{2}}+{{(435)}^{2}}-(785)(435)} \right)\]simplifies to

    A) 350                              

    B) 785

    C) 1220                

    D) 1320

    Correct Answer: C

    Solution :

    \[\frac{785\times 785\times 785+435\times 435\times 435}{{{(785)}^{2}}+{{(435)}^{2}}-(785)(435)}\] \[=\frac{{{(785)}^{3}}+{{(435)}^{3}}}{{{(785)}^{2}}+{{(435)}^{2}}-(785)(435)}\] \[=\frac{(785+435)[{{(785)}^{2}}+{{(435)}^{2}}-(785)(435)]}{{{(785)}^{2}}+{{(435)}^{2}}-(785)(435)}\]\[=785+435=1220\]           


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