The negation of the statement ' He is poor but happy' is

If $$p, q$$ are true statement and $$r$$ is false statement, then which of the following statements is a true statement.

If $$p \rightarrow(\sim p \vee q)$$ is false, then the truth values of $$p$$ and $$q$$ are respectively

The symbolic form of the following circuit is (where $$p, q$$ represents switches $$S_1$$ and $$s_2$$ closed respectively)