JEE Main & Advanced Mathematics Mathematical Logic and Boolean Algebra Question Bank Mathematical Logic

  • question_answer
    If \[p\Rightarrow (\tilde{\ }p\vee q)\] is false, the truth values of p and q are respectively                                            [Karnataka CET 2002]

    A)                 F, T        

    B)                 F, F

    C)                 T, T        

    D)                 T, F

    Correct Answer: D

    Solution :

                       \[p\Rightarrow (\tilde{\ }p\vee q)\] is false means p is true and \[\tilde{\ }p\vee q\] is false.                    Þ p is true and both ~p and q are false.                 Þ p is true and q is false.


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