JEE Main & Advanced JEE Main Online Paper (Held On 08 April 2018)

  • question_answer
    The Boolean expression\[\sim (p\vee q)\vee (\sim p\wedge q)\]is equivalent to: [JEE Main Online 08-04-2018]

    A)  q                                

    B)  \[\tilde{\ }q\]

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

    D)  p

    Correct Answer: C

    Solution :

      \[\tilde{\ }(p\vee q)\vee (\tilde{\ }p\wedge q)\] \[(\tilde{\ }p\wedge \tilde{\ }q)\vee (\tilde{\ }p\wedge q)\]       Demorgans Laws \[\tilde{\ }p\wedge (\tilde{\ }q\vee q)\]               Distribution Law \[\tilde{\ }p\wedge T\] \[\tilde{\ }p\]


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