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

  • question_answer
    \[(p\wedge \tilde{\ }q)\wedge (\tilde{\ }p\vee ~q)\]is

    A) a contradiction  

    B) a tautology

    C) either [a] or [b]

    D) neither [a] nor [b]

    Correct Answer: A

    Solution :

    [a] Clearly, \[(p\wedge \sim q)\wedge (\sim p\vee q)\]is a contradiction.

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