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

  • 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 n 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 :

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


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