CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2011

  • question_answer
    The statement\[p\to (\tilde{\ }q)\] is equivalent to

    A)  \[q\to p\]            

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

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

    D)         \[\tilde{\ }q\to p\]

    E)  \[\tilde{\ }p\vee q\]

    Correct Answer: B

    Solution :

    \[P\to (\tilde{\ }q)\]
    \[p\] \[q\] \[\tilde{\ }q\] \[p\to (\tilde{\ }q)\] \[q\to p\] \[\tilde{\ }p\] \[\tilde{\ }q\vee \tilde{\ }p\] \[p\wedge \tilde{\ }p\] \[\tilde{\ }p\vee q\]
    F F T T T T T F T
    F T F T F T T F T
    T F T T T F T T F
    T T F F T F F F T
    From above truth table we observe that,\[p\to (\tilde{\ }q)\equiv \tilde{\ }q\vee \tilde{\ }p\] Because all the truth values of corresponding columns are same.


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