The statement $(p \wedge \sim q) \wedge (\sim p \vee q)$ is which of the following?

  • A
    Tautology
  • B
    Contradiction
  • C
    Neither a tautology nor a contradiction
  • D
    None of these

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When does the current flow through the following circuit?

If $(p \wedge \sim r) \rightarrow (\sim p \vee q)$ has truth value $F$,then the truth values of $p, q,$ and $r$ are respectively:

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

Let $p, q$ and $r$ be the statements:
$p$: $X$ is an equilateral triangle
$q$: $X$ is an isosceles triangle
$r: q \vee \sim p$
Then the equivalent statement of $r$ is:

The negation of the statement $q \wedge (\sim p \vee \sim r)$ is:

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