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SSC Quantitative Aptitude Number System and its Operations Question Bank Numbers and Their Principles (II)

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

    A) \[45\]

    B) \[-\,\,45\]

    C) \[-\,54\]

    D) \[-\,\,55\]

    Correct Answer: D

    Solution :

    [d] Given expression \[=(1-2)\,(1+2)+(3-4)\,(3+4)+(5-6)\,(5+6)\]             \[+\,\,(7-8)(7+8)+(9-10)(9+10)\] \[=(-\,\,3)+(-7)+(-11)+(-15)+(-19)\] \[=-\,\,(3+7+11+15+19)\] \[=-\,55\]


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