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JEE Math Practice Question

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 :

  1. A.$$ \sim \left[ {Q \leftrightarrow \left( {P \wedge \sim R} \right)} \right]$$
  2. B.$$ \sim Q \leftrightarrow P \wedge R$$
  3. C.$$ \sim \left( {P \wedge \sim R} \right) \leftrightarrow Q$$
  4. D.$$ \sim P \wedge \left( {Q \leftrightarrow \sim R} \right)$$

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