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

  • question_answer
    If p is true and q is false, then which of the following statements is not true?

    A) \[p\vee q\]         

    B) \[p\Rightarrow q\]

    C) \[p\wedge (\tilde{\ }q)\]

    D) \[p\Rightarrow p\]

    Correct Answer: B

    Solution :

    [b] When p is true and q is false, then \[p\vee q\] is true, \[q\Rightarrow p\]is true and\[p\wedge (\sim q)\] is true. (\[\therefore \] both p and \[\sim q\] are true) Here,\[p\Rightarrow q\]is not true as a true statement cannot imply a false statement.

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