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

  • question_answer
    Which of the following is always true      [Karnataka CET 1998]

    A)                 \[(p\Rightarrow q)\equiv \ \tilde{\ }q\Rightarrow \ \tilde{\ }p\]

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

    C)                 \[\tilde{\ }(p\Rightarrow q)\equiv p\ \wedge \tilde{\ }q\]           

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

    Correct Answer: C

    Solution :

                    \[p\Rightarrow q\equiv \ \tilde{\ }p\vee q\] \ \[\tilde{\ }(p\Rightarrow q)\equiv p\ \wedge \tilde{\ }q\].


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