JEE Main & Advanced Sample Paper JEE Main Sample Paper-35

  • question_answer
    If \[p\] and \[q\]q are two statements, then       \[\sim (p\wedge q)\vee \sim (q\Leftrightarrow )\]is

    A)  tautology

    B)  contradiction

    C)  neither tautology nor contradiction

    D)  either tautology or contradiction

    Correct Answer: C

    Solution :

    Let \[s=\tilde{\ }\,\,(p\hat{\ }q)\,\,\vee \,\tilde{\ }(q\Leftrightarrow p)\]
                P q \[\tilde{\ }\,(p\hat{\ }q)\] \[\tilde{\ }\,(q\Leftrightarrow p)\] s
    T T F F F
    T F T T T
    F T T T T
    F F T F T


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