Manipal Engineering Manipal Engineering Solved Paper-2008

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

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

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

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

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

    Correct Answer: C

    Solution :

    Given,\[(p\vee q)\Rightarrow r\]                 \[\equiv \tilde{\ }r\Rightarrow \tilde{\ }(p\vee q)\]                 \[\equiv \tilde{\ }r\Rightarrow (\tilde{\ }p\wedge \tilde{\ }q)\]


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