The negation of $\sim s \vee (\sim r \wedge s)$ is equivalent to

  • A
    $s \wedge r$
  • B
    $\sim r \wedge s$
  • C
    $s \wedge (r \wedge \sim s)$
  • D
    $s \wedge (r \vee \sim s)$

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Similar Questions

The correct simplified circuit diagram for the logical statement $[\{q \wedge (\sim q \vee r)\} \wedge \{\sim p \vee (p \wedge \sim r)\}] \vee (p \wedge r)$ where $p, q, r$ represent switches $S_1, S_2, S_3$ respectively.

Find the component statements of the following compound statement:
$0$ is a positive number or a negative number.

$p \Rightarrow q$ can also be written as

Let $p$ be the statement '$x$ is an irrational number',$q$ be the statement '$y$ is a transcendental number',and $r$ be the statement '$x$ is a rational number or $y$ is a transcendental number'.
Statement-$1$: $r$ is equivalent to $q \lor p$.
Statement-$2$: $r$ is equivalent to $(p \Leftrightarrow \sim q)$.

For the statement: "If a quadrilateral $ABCD$ is a rhombus,then its opposite sides are parallel",its contrapositive and converse are respectively given by:

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