JEE Main & Advanced JEE Main Paper (Held On 12-Jan-2019 Evening)

  • question_answer
    The expression\[\tilde{\ }(\tilde{\ }p\to q)\]is logically equivalent to [JEE Main Online Paper Held On 12-Jan-2019 Evening]

    A) \[p\wedge q\]                             

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

    C) \[\tilde{\ }p\wedge \tilde{\ }q\]                 

    D)   \[p\wedge \tilde{\ }q\]

    Correct Answer: C

    Solution :

    \[p\] \[\tilde{\ }p\] \[q\] \[\tilde{\ }q\] \[\tilde{\ }p\to q\] \[\tilde{\ }(\tilde{\ }p\to q)\] \[(\tilde{\ }p\wedge \tilde{\ }q)\]
    T F T F T F F
    F T T F T F F
    T F F T T F F
    F T F T F T T
    Above truth table shows that \[(\tilde{\ }p\to q)\]is logically equivalent to \[(\tilde{\ }p\wedge \tilde{\ }q)\].


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