Which of the following Boolean expressions is a tautology?

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

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The statement $(p \wedge (p$ $\rightarrow q) \wedge (q$ $\rightarrow r))$ $\rightarrow r$ is :

Let $a : \sim (p \wedge \sim r) \vee (\sim q \vee s)$ and $b : (p \vee s) \leftrightarrow (q \wedge r)$. If the truth values of $p$ and $q$ are true and that of $r$ and $s$ are false,then the truth values of $a$ and $b$ are respectively:

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

Which of the following is a mathematical statement?

$p$ and $q$ are two logical statements. If $r: p \rightarrow (\sim p \vee q)$ has truth value false,then the truth values of $p$ and $q$ are respectively:

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