JEE Main & Advanced JEE Main Solved Paper-2016

  • question_answer
    The Boolean Expression \[(p\wedge \tilde{\ }q)\vee q\vee (\tilde{\ }p\wedge q)\] is equivalent to :- [JEE Main Solved Paper-2016 ]

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

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

    C) \[p\wedge q\]                 

    D) \[p\vee q\]

    Correct Answer: D

    Solution :

                    Given boo lean expression is\[p\wedge \tilde{\ }q)\vee (\tilde{\ }p\vee q)\] \[p\wedge \tilde{\ }q)\vee q=(p\vee q)\wedge (\tilde{\ }q\vee q)=(p\vee q)\] \[\wedge t=(p\vee q)\] Now,\[(p\vee q)\vee (\tilde{\ }p\wedge q)=p\vee q\]


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