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

  • question_answer
    If p: 4 is an even prime number, q: 6 is a divisor of 12 and r: the HCF of 4 and 6 is 2, then which one of the following is true?

    A) \[(p\wedge q)\]

    B) \[(p\vee q)\wedge \tilde{\ }r\]

    C) \[\tilde{\ }(q\wedge r)p\]

    D) \[\tilde{\ }p\vee (q\wedge r)\]

    Correct Answer: D

    Solution :

    [d] Given that p: 4 is an even prime number. q: 6 is a divisor of 12. and r: the HCF of 4 and 6 is 2. \[\therefore \,\,\,\,\tilde{\ }p\vee (q\wedge r)\] is true.


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