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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 42

  • question_answer
    If p, q and r are three statements then negation of compound statement of \[p\to (\tilde{\ }rv\tilde{\ }q)\] is-

    A) \[p\wedge \left( r\vee q \right)\]       

    B)        \[p\wedge \left( r\wedge q \right)\]

    C) \[p\vee \left( r\vee q \right)\]       

    D)        None

    Correct Answer: B

    Solution :

    [b] \[\tilde{\ }[p\to (\tilde{\ }r\vee \tilde{\ }q)]\] \[=p\wedge \tilde{\ }\left( \tilde{\ }r\vee \tilde{\ }q \right)\] \[=p\wedge \left( r\wedge q \right)\]


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