JEE Main & Advanced Mathematics Mathematical Logic and Boolean Algebra Question Bank Mock Test - Mathematical Reasoning

  • question_answer
    The statement \[\tilde{\ }(p\leftrightarrow \tilde{\ }q)\]is

    A) equivalent to \[p\leftrightarrow q\]

    B) equivalent to ~\[p\leftrightarrow q\]

    C) a tautology

    D) a fallacy

    Correct Answer: A

    Solution :

    p q \[\sim q\] \[p\leftrightarrow \sim q\] \[\sim (p\leftrightarrow \sim q)\] \[p\leftrightarrow q\]
    T T F F T T
    T F T T F F
    F T F T F F
    F F T F T T

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