JEE Main & Advanced Sample Paper JEE Main - Mock Test - 41

  • question_answer
    The inverse of the statement \[(p\wedge \tilde{\ }q)\to r\] is

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

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

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

    D) None of these

    Correct Answer: C

    Solution :

    The inverse of the proposition \[(p\wedge \tilde{\ }q)\to r\]is \[\tilde{\ }(p\wedge \tilde{\ }q)\to \tilde{\ }r\] \[\equiv \tilde{\ }p\vee \tilde{\ }(\tilde{\ }q)\to \tilde{\ }r\] \[\equiv \,\tilde{\ }p\vee q\to \tilde{\ }r\]


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