CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2007

  • question_answer
    Which of the following is not true for any two statements p and q?

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

    B)  \[(p\vee q)\vee (\tilde{\ }q)\]is a tautology

    C)  \[(p\wedge q)\wedge (\tilde{\ }q)\]is contradiction

    D)  \[\tilde{\ }[p\wedge (\tilde{\ }p)]\]is a tautology

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

    Correct Answer: E

    Solution :

    \[\tilde{\ }(p\vee q)\equiv (\tilde{\ }p)\vee (\tilde{\ }q)\]is not true for any two statements p and q.


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