JEE Main & Advanced JEE Main Paper (Held on 12-4-2019 Morning)

  • question_answer
    If the truth value of the statement \[P\to (\tilde{\ }p\vee r)\]is false(F), then the truth values of the statements p, q, r are respectively :                                                                      [JEE Main Held on 12-4-2019 Morning]

    A) F, T, T            

    B) T, F, F

    C) T, T, F

    D) T, F, T

    Correct Answer: C

    Solution :

    \[P\to (\tilde{\ }q\vee r)\]           \[\tilde{\ }p\vee (\tilde{\ }q\vee r)\]           \[\left. \begin{matrix}    \tilde{\ }p\to F  \\    \tilde{\ }q\to F  \\    r\to F  \\ \end{matrix} \right\}\Rightarrow \left. \begin{matrix}    p\to F  \\    q\to F  \\    r\to F  \\ \end{matrix} \right\}\]                    


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