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

  • question_answer
    Which of the following is not logically equivalent to the proposition : ?A real number is either rational or irrational?.

    A)                 If a number is neither rational nor irrational then it is not real

    B)                 If a number is not a rational or not an irrational, then it is not real

    C)                 If a number is not real, then it is neither rational nor irrational

    D)                 If a number is real, then it is rational or irrational

    Correct Answer: B

    Solution :

                       It is correct.                 \[\because \,\sqrt{3}\] is not rational but it is real.


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