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

  • question_answer
    If p and q are two statement then \[(p\leftrightarrow \tilde{\ }q)\] is true when-

    A) p and q both are true

    B) p and q both are false

    C) p is false and q is true

    D) None of these

    Correct Answer: C

    Solution :

    [c] We know that \[p\leftrightarrow q\] is true if p and q both are true of false. So \[p\leftrightarrow \tilde{\ }q\] is true when if p and \[\tilde{\ }q\] is true. i.e., p is true and q is false. Or p and \[\tilde{\ }q\] is false, i.e. p is false and q is true.


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