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

  • question_answer
    The contrapositive of \[(p\vee q)\Rightarrow r\] is

    A) \[r\Rightarrow (p\vee q)\]

    B) \[\tilde{\ }r\Rightarrow (p\vee q)\]

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

    D) \[p\Rightarrow (q\vee r)\]

    Correct Answer: C

    Solution :

    [c] Contrapositive of \[p\Rightarrow q\] is \[\tilde{\ }q\Rightarrow \tilde{\ }p\] \[\therefore \] Contrapositive of \[(p\vee q)\Rightarrow r\] is \[\tilde{\ }r\Rightarrow \tilde{\ }(p\vee q)i.e.\tilde{\ }r\Rightarrow (\tilde{\ }p\wedge \tilde{\ }q)\]


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