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

  • question_answer
    If p is false and q is true, then

    A) \[p\wedge q\] is true        

    B) \[p\,\vee \tilde{\ }q\]is true

    C) \[q\wedge q\]is true         

    D) \[p\Rightarrow q\]is true

    Correct Answer: D

    Solution :

    [d] When p is false and q is true, then \[p\wedge q\] is false\[p\vee \sim q\] is false,  (\[\therefore \] both p and \[\sim q\] are false) and \[q\Rightarrow p\]is also false, Only\[p\Rightarrow q\] is true.


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