Consider the following statements
P : Suman is brilliant.
Q : Suman is rich.
R : Suman is honest.
The negative of the statement. 'Suman is brilliant and dishonest, if and only if Suman is rich.' can be expressed as

• A

  $~(\mathrm{Q}\leftrightarrow (\mathrm{P}\wedge ~\mathrm{R}\left)\right)$

• B

  $~\mathrm{Q}\leftrightarrow \mathrm{P}\wedge \mathrm{R}$

• C

  $~(\mathrm{P}\wedge ~\mathrm{R})\leftrightarrow \mathrm{Q}$

• D

  $~\mathrm{P}\wedge (\mathrm{Q}\leftrightarrow \sim \mathrm{R})$