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

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

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If the statement $(p \vee \sim r) \rightarrow (q \wedge r)$ is false and the statement $q$ is true,then what is the truth value of statement $p$?

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

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$\sim ((\sim p) \wedge q)$ is equivalent to

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