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

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

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

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

    C)                 \[\tilde{\ }p\ \vee \tilde{\ }p\]  

    D)                 \[\tilde{\ }p\ \wedge \tilde{\ }q\]

    Correct Answer: B

    Solution :

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


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