JEE Main & Advanced Mathematics Mathematical Logic and Boolean Algebra Question Bank Mathematical Logic

  • question_answer
    If p, q, r are simple propositions, then \[(p\wedge q)\wedge (q\wedge r)\] is true then

    A)                 p, q, r are all false            

    B)                 p, q, r are all true

    C)                 p, q are true and r is false

    D)                 p is true and q and r are false

    Correct Answer: B

    Solution :

                    \[(p\wedge q)\wedge (q\wedge r)\] is true means \[p\wedge q\], \[q\wedge r\] are both true. Þ p, q, r are all true.


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