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

  • question_answer
    Which of the following is a contradiction

    A)                 \[(p\wedge q)\wedge \tilde{\ }(p\vee q)\]        

    B)                 \[p\vee (\tilde{\ }p\wedge q)\]

    C)                 \[(p\Rightarrow q)\Rightarrow p\]          

    D)                 None of these

    Correct Answer: A

    Solution :

                      
    p q pÙq pÚq \[\tilde{\ }(p\vee q)\] \[(p\wedge q)\ \wedge \tilde{\ }(p\vee q)\]
    T T T T F F
    T F F T F F
    F T F T F F
    F F F F T F
                    \ \[(p\wedge q)\wedge (\tilde{\ }(p\vee q))\] is a contradiction.


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