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

  • question_answer
    The contrapositive of the inverse of \[p\Rightarrow \tilde{\ }q\] is

    A) \[\tilde{\ }q\Rightarrow p\]

    B) \[p\Rightarrow q\]

    C) \[\tilde{\ }q\Rightarrow \tilde{\ }p\]

    D) \[\tilde{\ }p\Rightarrow \tilde{\ }q\]

    Correct Answer: A

    Solution :

    [a] The inverse of \[p\Rightarrow \tilde{\ }q\]is \[\tilde{\ }p\Rightarrow q.\] The contrapositive of \[\tilde{\ }p\Rightarrow q\]is \[\tilde{\ }q\Rightarrow p.\] [\[\because \] Contrapositive of \[p\Rightarrow q\]is\[\tilde{\ }q\Rightarrow \tilde{\ }p\]].


You need to login to perform this action.
You will be redirected in 3 sec spinner