BCECE Engineering BCECE Engineering Solved Paper-2005

  • 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 :

    \[p\Rightarrow q\]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. Hence, truth values of p, q, r are respectively \[T,\text{ }F,\text{ }F.\]


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