JEE Main & Advanced Sample Paper JEE Main Sample Paper-24

  • question_answer
    Consider the following statements
    P: Suman is brilliant
    Q: Suman is rich
    R: Suman is honest
    The negation of the statement 'Suman is brilliant and dishonest if and only if Suman is rich9 can be expressed as

    A)  \[\sim \left( Q\leftrightarrow (\operatorname{P}\wedge \sim R) \right)\]          

    B)  \[\sim Q\leftrightarrow \sim \operatorname{P}\wedge R\]

    C)  \[\sim (P\wedge \sim R)\leftrightarrow Q\]              

    D)  \[\sim P\wedge (Q\leftrightarrow \sim R)\]

    Correct Answer: A

    Solution :

    \[\tilde{\ }((P\hat{\ }\tilde{\ }R)\leftrightarrow Q)\] \[\equiv \tilde{\ }(Q\leftrightarrow (P\hat{\ }\tilde{\ }R))\]


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