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SSC Sample Paper Mock Test-13 SSC CGL Tear-II Paper-1

  • question_answer
    \[({{1}^{2}}-{{2}^{2}}+{{3}^{2}}-{{4}^{2}}+{{5}^{2}}-{{6}^{2}}+...+{{9}^{2}}-{{10}^{2}})\]is equal to

    A)  \[-\,\,55\]

    B)  55

    C)  \[-\,\,56\]

    D)  56

    Correct Answer: A

    Solution :

    \[({{1}^{2}}-{{2}^{2}})+({{3}^{3}}-{{4}^{2}})+...+({{9}^{2}}-{{10}^{2}})\] \[=(1+2)(1-2)+(3+4)(3-4)\]\[+...+(9+10)(9-10)\] \[=-\,\,3-7-11-15-19=-\,\,55\]


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