JCECE Engineering JCECE Engineering Solved Paper-2014

  • question_answer
    \[\tilde{\ }(p\vee q)\vee (\tilde{\ }p\wedge q)\]is logically equivalent to

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

    B) \[p\]

    C) \[q\]                                     

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

    Correct Answer: A

    Solution :

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


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