JEE Main & Advanced Mathematics Mathematical Logic and Boolean Algebra Question Bank Self Evaluation 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) \[q\wedge p\] 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, \[p\vee \tilde{\ }q\] is false.           (\[\because \] both p and \[\tilde{\ }q\] are false) and \[q\Rightarrow p\] is also false, only \[p\Rightarrow q\] is true.


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