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JEE Main & Advanced JEE Main Paper Phase-I Held on 07-1-2020 Morning

  • question_answer
    The logical statement \[(p\Rightarrow q)\wedge (q\Rightarrow \,\tilde{\ }p)\] is equivalent to [JEE MAIN Held on 07-01-2020 Morning]

    A) ~q

    B) p

    C) q                     

    D) ~p

    Correct Answer: D

    Solution :

    [d]
    \[(\tilde{\ }p\vee q)\wedge (\tilde{\ }q\vee \tilde{\ }p)\]
    \[\equiv \tilde{\ }p\vee (q\wedge \tilde{\ }q)\]
    As \[q\wedge \tilde{\ }q\] is fallacy
    \[\equiv \tilde{\ }p\]


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