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

  • question_answer
    In the truth table for the statement \[(p\to q)\leftrightarrow (\tilde{\ }p\vee q),\] the last column has the truth value in the following order is

    A) \[TTFF\]

    B) \[FFFF\]

    C) \[TTTT\]

    D) \[FTFT\]  

    Correct Answer: C

    Solution :

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


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