suzu...first, it's great that's her mind's engaged and alert; but it can get aggravating so this could be used as an opportunity.
How about responding two different ways. Sometimes tell her just a moment, be patient and I"ll answer or something to that effect that you know she'll understand; letting her know before the 'activity' mentioned in your previous post, that if she asks you 2 times (if she knows what that means, which I assume she does), Mommy won't answer. This would be a planned ahead session and you'll have to be consistant and enforce the consequences of asking more than once. So in effect, working on developing her patience skills; she's 2, so the world revolves around her, so she thinks, but it's time to start training her out of that mindset. You could just count to 10 or 20, just a tad longer than she usually takes to ask again. I don't think it'd be appropriate with everytime, but once a day is a good start and maybe even the same activity, then expanding to other times as her waiting time improves.
The other way would be to ask her a question back that requires her to answer her own question-she's old enough to recognize these things and ask a repeated question so she's old enough to actually know the answer; and you're training her to be observant and try to figure things out first before asking questions. For example: when she asks about "You feeding baby...", you say, "her name, what do you see Mommy doing?" and allow her to answer it. Same for the burping. As for directions in the car, I think the same thing can apply, sometimes using 'right or left' to start working on those directional skills and immediately have her repeat after you. A question should truly be seeking an answer to something you don't know and can't discover on your own. I actually do believe in stupid questions-the ones you already know the answer to or haven't given thought or effort enough to figure it out. She's at the age to start facilitating the thinking process of discovery, using her own wits and not others'.
She's probably too young for the "what do you think?" question, but she is capable of seeing you and recognizing repeated patterns. But if she refuses to stop asking you over and over, after you've told her you won't answer the same question 2x and/or you've actually asked her one which she's expected to answer you, then treat it the same as not saying "please" or "thank you"; they don't get the results they are looking for. Maybe she'll have to be removed from the room during these times if she refuses to answer you, whatever. It'll be a rough transition at first, but then things will go smoother. We train them or they train us; either way, someone's gettin' trained.
Hope that was clear in explanation; it made sense in my head as I was thinking about it in scenario form last night and this morning. One more thing, you could ask her a question before she asks you one! And if there's any implements she could help you gather for some activity that she usually questions about, like a blanket to cover you if your nursing or get you something if bottle feeding, then you could ask her what is Mommy about to do w/ 'baby name'? or what is this for? etc, etc...And then other times in the day-just yes. So use a combination.
HTH and gives some ideas, Rachel