Consider the following statements <br> P : Suman is brilliant <br> Q : Suman is rich <br> R : Suman is honest <br> The negative of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as

Question

( A ) $\sim ( Q \leftrightarrow (P \land \sim R) )$
( B ) $(\sim P \land \sim R) \leftrightarrow Q$
( C ) $\sim Q \leftrightarrow \sim P \land R$
( D ) $\sim P \land (Q \leftrightarrow \sim R)$