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KVPY Sample Paper KVPY Stream-SX Model Paper-30

  • question_answer
    Number of negative integeral solution of the equation \[[[x]-2x]<4\] is (where [.] denotes greatest integer function)

    A) 1

    B) 2              

    C) 3

    D) 4

    Correct Answer: C

    Solution :

    Here given that, \[[[x]-2x]<4\Rightarrow [x]-2x<4\Rightarrow [x]<4+2x\]\[\Rightarrow x<4+2x\]\[(\because x\in I)\]\[\Rightarrow -x<4\Rightarrow x>-4\Rightarrow x=-3,-2,-1\]


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