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

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    The negative of \[q\ \vee \tilde{\ }(p\wedge r)\] is                          [Karnataka CET 1997]

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

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

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

    D)                 None of these

    Correct Answer: B

    Solution :

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


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