Not exactly because you can combine as many questions as you like and get an answer about whether one of them or all of them is correct, furthermore if you can ask question in first order logic, like "for all x is y true?" as opposed to just "if x then y?" The wording would be come awkward very quickly but you can gain an almost unlimited amount of information from compound questions. I wouldn't be surprised if there were a solution to this problem involving only two questions or even one, though at the moment I don't have the time to work through it so don't take my word for it.

In binary terms, let's say you have one bit, 0 or 1 that represents a single propositional statement, "x or y" or "x and y" but with compound questions you can get as many bits as you want "(x or y) and (x and y) and (p and q)" so you can only ever get the truth value of the entire compound statement but you get far more than a single truth value

If you take an information theory point of view, then a single question could provide more than a single bit of information, but it never will on average (for some suitable meaning of "average"). If I'm speaking to 1 of 1024 possible people and I ask "Are this particular woman?" then 1 time out of 1024 I will learn 10 bits of information, but 1023 out of 1024 times I will learn approximately zero bits of information.