JEE Main & Advanced Sample Paper JEE Main Sample Paper-4

  • question_answer
    The proposition \[p\Rightarrow \tilde{\ }(p\to \wedge \tilde{\ }q)\] is

    A)  contradiction         

    B)  tautology

    C)  equivalent to \[\tilde{\ }(p\Rightarrow q)\]

    D)  None of these

    Correct Answer: D

    Solution :

    P q \[\tilde{\ }q\] \[p\wedge \tilde{\ }q\] \[\tilde{\ }(p\wedge \tilde{\ }q)\] \[p\to \tilde{\ }(p\wedge \tilde{\ }q)\]
    T F T T F F
    F T F F T T
    \[\Rightarrow \]
    T T F F T T
    F F T F T T

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