The negation of the logical statement $(p \vee \sim q) \rightarrow (p \wedge \sim q)$ is

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

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For statements $p$ and $q$,which of the following is true?

Negation of $p \wedge (\sim q \vee \sim r)$ is -

Consider the following statements:
$(A)$ If $4+3=8$,then $5+3=9$
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Consider the following statements:
$p$: If voltage increases, then current decreases.
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The statement pattern $(p \lor q) \to \sim r$ is logically equivalent to

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