If p: 2 + 2 = 5, q: The month January has 31 days and r: square of every natural number is a natural number, then which of the following option is true?

A

$$(p \vee q) \Rightarrow r$$ is true

B

$$(r \Rightarrow p) \vee q$$ is false

C

$$q \Rightarrow p$$ is true

D

$$(p \wedge q) \Rightarrow r$$ is false