Find the component statements of the following compound statement:
It is raining and it is cold.

Check whether the following sentence is a statement. Give reasons for your answer.
"How far is Chennai from here?"

If $P \Rightarrow (q \vee r)$ is false,then the truth values of $p, q, r$ are respectively

If the truth value of the statement pattern $(\sim p \land q) \lor (\sim p \land \sim q) \lor (p \land \sim q)$ is $F$, then the truth values of $(p \lor \sim q)$ and $(p \to q)$ are ... respectively.

Write the negation of the following statement:
$p:$ For every positive real number $x,$ the number $x-1$ is also positive.

Consider the following statements:
$p$: If voltage increases, then current decreases.
$q$: If voltage does not increase, then current does not decrease.
$r$: If current decreases, then voltage increases.
$s$: If current does not decrease, then voltage does not increase.
Which of the following pairs of statements have the same meaning?