CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2009

  • question_answer
    The negation of \[p\wedge (q\to \tilde{\ }r)\] is

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

    B)  \[p\vee (q\vee r)\]

    C)  \[p\vee (q\wedge r)\]

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

    Correct Answer: D

    Solution :

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


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