JEE Main & Advanced Mathematics Mathematical Logic and Boolean Algebra Question Bank Self Evaluation Test - Mathematical Reasoning

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

    A) \[F,T\]

    B) \[F,F\]

    C) \[T,T\]

    D) \[T,F\]

    Correct Answer: D

    Solution :

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


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