JEE Main & Advanced Sample Paper JEE Main Sample Paper-45

  • question_answer
    \[(p\wedge \sim q)\,\wedge \,(\sim p\wedge q)\] is

    A)  tautology                               

    B)  a contradiction

    C)  both a tautology and a contradiction      

    D)  neither a tautology nor a contradiction

    Correct Answer: B

    Solution :

     \[\therefore \]\[(p\wedge \sim q)\,\wedge \,(p\wedge q)\equiv \,(p\wedge \sim p)\wedge \,(\sim q\wedge q)\] \[\equiv f\,\wedge f=f\] Hence, it is a contradiction.

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