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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-5

  • question_answer
    What is the LCM of\[{{x}^{2}}-1,\,\,{{x}^{2}}+4x+3\]and\[{{x}^{3}}-3x+2\]?

    A) \[(x+3)(x+1)\]

    B) \[({{x}^{2}}-1)(x-2)(x+3)\]  

    C) \[(x-1)(x-2)(x-3)\]

    D) \[({{x}^{2}}-1)(x+2)(x+3)\]

    Correct Answer: B

    Solution :

     (i)\[{{x}^{2}}-1={{x}^{2}}-{{(1)}^{2}}\]             \[=(x-1)(x+1)\] (ii)\[{{x}^{2}}+4x+3={{x}^{2}}+3x+x+3\] \[=x(x+3)(x+1)\] (iii) \[{{x}^{2}}-3x+2={{x}^{2}}-2x-x+2\]             \[=x(x-2)-1(x-2)\] LCM\[=(x-1)(x+1)(x-2)(x+3)\]


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