JEE Main & Advanced Sample Paper JEE Main - Mock Test - 33

  • 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) \[p\wedge (\sim q)\]        

    D)         \[p\Rightarrow p\]

    Correct Answer: B

    Solution :

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


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