JEE Main & Advanced AIEEE Solved Paper-2011

  • 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 rich? can be expressed as.   AIEEE  Solved  Paper-2011

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

    B)  \[\sim P\wedge (Q_{2}^{2}\sim R)\]

    C) \[\sim (Q_{2}^{2}(P\wedge R))\]

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

    Correct Answer: C

    Solution :

                 Suman is brilliant and dishonest is \[P\wedge \sim R\]Suman is brilliant and dishonest iff suman is rich is \[Q\leftrightarrow (P\wedge \sim R)\] Negative of statement is expressed as  \[\sim (Q\leftrightarrow (P\wedge \sim R))\]


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