The negation of the statement "If $I$ become a teacher,then $I$ will open a school" is

  • A
    $I$ will become a teacher and $I$ will not open a school.
  • B
    Either $I$ will not become a teacher or $I$ will not open a school.
  • C
    Neither $I$ will become a teacher nor $I$ will open a school.
  • D
    $I$ will not become a teacher or $I$ will open a school.

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Which of the following statements is logically equivalent to $\sim (p \leftrightarrow q)$?

The negation of the contrapositive of the statement $(p \lor \sim q) \to (p \land \sim q)$ is

Consider the statement patterns:
$A. (q \to p) \lor (p \to q)$
$B. (\sim p \lor \sim q) \leftrightarrow \sim (p \land q)$
$C. [(p \lor q) \land \sim p] \land \sim q$
$D. (p \land q) \land (\sim p \lor \sim q)$
Which of the following is true regarding these statement patterns?

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

The negation of the statement $''96$ is divisible by $2$ and $3''$ is

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