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

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

    A)                 A tautology

    B)                 A contradiction

    C)                 Neither a tautology nor a contradiction

    D)                 Cannot come to any conclusion

    Correct Answer: C

    Solution :

                      
    p q pÞq ~(pÞq) ~p ~q ~pÚ~q ~(pÞq) Û ~pÚ~q
    T T T F F F F T
    T F F T F T T T
    F T T F T F T F
    F F T F T T T F
                    Last column shows that result is neither a tautology nor a contradiction.


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