i confused the sufficient and necessary cause i didn't see the only if at first and still got it right lol, anyone else?

For Q5, can you just say that believe exists instead of /does not believe it exists

When you have a double "negative", like in question 4, no X , ... did not Y, is the usual lawgic translation then X -> Y? Thats kinda a pattern I'm noticing but idk if that always holds true.

So my flow of logic was inspired -> good show -> sophisticated -> musical roots, or a-> b -> c. For some reason I automatically assumed the answer would be along the lines of a -> c, and got tripped up for a second when there was nothing like that. Are these types of questions generally going to have the answer of a-> c? or is it usually a mix?

For question 3, is it bad that I'm relying on intuition to see the worthy -> pure connection? Whenever I see no .... X and then unless or without .... Y, my mind immediately goes to X -> Y. Am I just doing Group 3 translation in a different way, or does that formula of X -> Y in this instance not always apply?