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

  • question_answer
    Which of the following is logically equivalent to \[\tilde{\ }(\tilde{\ }p\Rightarrow q)\]

    A)                 \[p\wedge q\] 

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

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

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

    Correct Answer: D

    Solution :

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


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