What is the dual statement of $p \wedge (\sim p) = c$?

  • A
    $(\sim p) \wedge p = c$
  • B
    $p \vee (\sim p) = c$
  • C
    $p \wedge (\sim p) = t$
  • D
    $p \vee (\sim p) = t$

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The negation of the statement: "Getting above $95 \%$ marks is a necessary condition for Hema to get admission in a good college."

$\sim[(p \vee \sim q) \rightarrow (p \wedge \sim q)] \equiv$

The logical expression $[p \wedge (q \vee r)] \vee [\sim r \wedge \sim q \wedge p]$ is equivalent to

What is the dual statement of the statement "Rina is healthy and Mina is beautiful"?

Statement-$1$: $\sim (p \Leftrightarrow \sim q)$ is equivalent to $p \Leftrightarrow q$.
Statement-$2$: $\sim (p \Leftrightarrow \sim q)$ is a tautology.

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