JEE Main & Advanced Sample Paper JEE Main Sample Paper-44

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

    A)  \[\tilde{\ }r\to (p\,\vee q)\]      

    B)  \[r\to (p\,\vee q)\]

    C)  \[\tilde{\ }r\to (\tilde{\ }p\,\wedge \tilde{\ }q)\]          

    D)  \[p\to (q\vee r)\]

    Correct Answer: C

    Solution :

     Contrapositive of \[(p\vee q)\,\to r\] is\[\sim \,\,r\,\to \,\sim \,(p\vee q)\equiv \,\sim \,\,r\to \,\,(\sim \,p\wedge \,\sim q)\]


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