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JEE Main & Advanced Sample Paper JEE Main Sample Paper-23

  • question_answer
    Let S be non-empty subset of R. Consider the following statement P: There is a rational number \[x\in S\] such that \[x>0\] Which of the following statement is the negation of the statement P?

    A)  There is no rational number \[x\in S\] such that\[x\le 0\].

    B)  Every rational number \[x\in S\] satisfies \[x\le 0\].

    C)  \[x\in S\] and \[x\le 0\Rightarrow x\] is not rational.

    D)  There is a rational number \[x\in S\] such that\[x\le 0\].

    Correct Answer: B

    Solution :

    P: There is a rational number \[x\in S\] such that \[x>0\].\[\tilde{\ }P:\] Every rational number \[x\in S\] satisfies \[x\le 0\]


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