JEE Main & Advanced JEE Main Paper (Held On 8 April 2017)

  • question_answer
    The proposition\[(\tilde{\ }p)V(p\wedge \tilde{\ }q)\]is equivalent to:                   [JEE Online 08-04-2017]

    A) \[P\to \tilde{\ }q\]                          

    B) \[P\wedge \tilde{\ }q\]

    C) \[q\to p\]                           

    D) \[P\vee \tilde{\ }q\]

    Correct Answer: B

    Solution :

    \[(\tilde{\ }p)V(p\wedge \tilde{\ }q)\]
    \[p\] \[q\] \[\tilde{\ }p\] \[\tilde{\ }q\] \[{{p}^{\wedge }}\tilde{\ }q\] \[(\tilde{\ }p)\vee ({{p}^{\wedge }}\tilde{\ }q)\]
    T T F F F F
    T F F T T T
    F T T F F F
    F F T T F F


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