JEE Main & Advanced Sample Paper JEE Main Sample Paper-19

  • question_answer The contrapositive of\[(p\wedge q)\Rightarrow r\]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 :

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

adversite


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