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

  • question_answer
    If \[p\Rightarrow (q\vee r)\] is false, then the truth values of \[p,q,r\] are respectively

    A) \[T,F,F\]

    B) \[F,F,F\]

    C) \[F,T,T\]

    D) \[T,T,F\]

    Correct Answer: A

    Solution :

    [a] \[p\Rightarrow q\] is false only when p is true and q is false. \[\therefore p\Rightarrow q\] is false when p is true and \[q\vee r\] is false, and \[q\vee r\] is false when both q and r are false.


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