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

  • question_answer
    If \[p\Rightarrow (q\vee r)\] is false, then the truth values of p, q, r are respectively                                       [Karnataka CET 2000]

    A)                 T, F, F   

    B)                 F, F, F

    C)                 F, T, T   

    D)                 T, T, F

    Correct Answer: A

    Solution :

                       \[p\Rightarrow q\] is false only when p is true and q is false.                    \ \[p\Rightarrow q\] 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.                 Hence truth values of p, q and r are respectively T, F, F.


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