JEE Main & Advanced Sample Paper JEE Main - Mock Test - 4

  • question_answer
    Let p and q be two statements. Negation of statement \[(p\leftrightarrow \tilde{\ }q)\] is

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

    B) \[\tilde{\ }p\vee q\]       

    C) \[p\leftrightarrow q\]       

    D) \[p\to q\]  

    Correct Answer: C

    Solution :

    [c]
    P q ~q \[p\leftrightarrow \tilde{\ }q\] \[\tilde{\ }(p\leftrightarrow \tilde{\ }q)\] \[\tilde{\ }q\leftrightarrow p\] \[\tilde{\ }q\vee p\] \[q\leftrightarrow p\] \[p\to q\]
    T T F F T T T T T
    T F T T F T F F F
    F T F T F T T F T
    F F T F T F T T T


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