The contrapositive of the statement "if $I$ am not feeling well,then $I$ will go to the doctor" is

  • A
    If $I$ am feeling well,then $I$ will not go to the doctor
  • B
    If $I$ will go to the doctor,then $I$ am feeling well
  • C
    If $I$ will not go to the doctor,then $I$ am feeling well
  • D
    If $I$ will go to the doctor,then $I$ am not feeling well

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Which of the following logical equivalences is always true?

If $p, q, r$ are simple propositions with truth values $T, F, T$ respectively,then the truth value of $(\sim p \vee q) \wedge \sim r \Rightarrow p$ is

If $p$ and $q$ are simple propositions,then $p \Leftrightarrow \sim q$ is true when

Let $p$ and $q$ be two statements. Then $\sim(p \wedge (p \Rightarrow \sim q))$ is equivalent to:

The expression $(p \wedge \sim q) \vee q \vee (\sim p \wedge q)$ is equivalent to

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