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

  • question_answer
    Which of the following is the inverse of the proposition: ?If a number is a prime then it is odd.?  [Karnataka CET 2004]

    A)                 If a number is not a prime then it is odd

    B)                 If a number is not a prime then it is odd

    C)                 If a number is not odd then it is not a prime

    D)                 If a number is not odd then it is a prime

    Correct Answer: B

    Solution :

                       p : A number is a prime. Q : It is odd. We have p Þ q The inverse of p Þ q is \[\tilde{\ }p\Rightarrow \,\tilde{\ }q\] i.e., If a number is not a prime then it is not odd.


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