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JEE Main & Advanced Mathematics Mathematical Logic and Boolean Algebra Question Bank Mathematical Logic

  • question_answer
    \[(p\ \wedge \tilde{\ }q)\wedge (\tilde{\ }p\vee q)\] is

    A)                 A contradiction

    B)                 A tautology

    C)                 Either A or B      

    D)                 Neither A nor B

    Correct Answer: A

    Solution :

                      
    p q ~p ~q pÙ~q ~pÚq (pÙ~q)Ù(~pÚq)
    T T F F F T F
    T F F T T F F
    F T T F F T F
    F F T T F T F
                    Clearly, \[(p\ \wedge \tilde{\ }q)\wedge (p\ \vee \tilde{\ }q)\] is a contradiction.


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