$p :$ Suman is brilliant.
$q :$ Suman is rich.
$r :$ Suman is honest.
How can the negation of the statement "Suman is rich if and only if Suman is brilliant and dishonest" be represented?

  • A
    $\sim q \Leftrightarrow \sim p \wedge r$
  • B
    $\sim (p \wedge \sim r) \Leftrightarrow q$
  • C
    $\sim p \wedge (q \Leftrightarrow \sim r)$
  • D
    $\sim (q \Leftrightarrow (p \wedge \sim r))$

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