If $p$: It is raining and $q$: It is pleasant,then the symbolic form of "It is neither raining nor pleasant" is

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

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Which of the following is false?

Consider the following statements:
$p$: If voltage increases, then current decreases.
$q$: If voltage does not increase, then current does not decrease.
$r$: If current decreases, then voltage increases.
$s$: If current does not decrease, then voltage does not increase.
Which of the following pairs of statements have the same meaning?

If $S^*(p, q, r)$ is the dual of the compound statement $S(p, q, r)$ and $S(p, q, r) = \sim p \wedge [\sim (q \vee r)]$,then $S^*(\sim p, \sim q, \sim r)$ is equivalent to:

Find the component statements of the following compound statement:
All rational numbers are real and all real numbers are complex.

The contrapositive of $\sim q \to p$ is equivalent to

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