JEE Main & Advanced JEE Main Paper (Held On 11 April 2015)

  • 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 equivalently expressed as : [JEE Main Online Paper (Held On 11 April 2015)]  

    A) \[\tilde{\ }Q\leftrightarrow \tilde{\ }P\wedge R\]

    B) \[\tilde{\ }Q\leftrightarrow \tilde{\ }P\vee R\]

    C) \[\tilde{\ }Q\leftrightarrow \tilde{\ }P\vee \tilde{\ }R\]

    D) \[\tilde{\ }Q\leftrightarrow P\wedge \tilde{\ }R\]

    Correct Answer: D

    Solution :

      Symbolic form \[\left( P\Lambda \sim R \right)\overset{{}}{\longleftrightarrow}Q\] \[\therefore \]\[\tilde{\ }\left[ \left( P\Lambda \sim R \right)\overset{{}}{\longleftrightarrow}Q \right]\] \[\] Using Demerojans law


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