CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2010

  • question_answer
    For   any   two   statements   p   and\[q,\tilde{\ }(p\vee q)\vee (\tilde{\ }p\wedge q)\]is logically equivalent to

    A)  p                                           

    B)  \[\tilde{\ }p\]

    C)  q                           

    D)         \[\tilde{\ }q\]

    E)  \[p\vee q\]

    Correct Answer: B

    Solution :

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


You need to login to perform this action.
You will be redirected in 3 sec spinner