JEE Main & Advanced JEE Main Paper (Held On 11 April 2014)

  • question_answer
    The proposition \[\tilde{\ }\left( p\vee \tilde{\ }q \right)\vee \tilde{\ }\left( p\vee q \right)\]is logically equivalent to:   [JEE Main Online Paper ( Held On 11 Apirl  2014 )

    A) p                                            

    B) q

    C) \[\tilde{\ }p\]    

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

    Correct Answer: C

    Solution :

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


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