I'll have to look at specific examples to see the context, but the differences between the two seems too minute to warrant elimination just on these grounds. If one answer choice includes questioning X, and the other answer choice uses critical Y, I would actually examine the X and the Y for reasons to eliminate one or the other. Critical is perhaps a slightly stronger word, so all other things being equal, I'd prefer "questioning", but I doubt that you'll be put in this situation - there has to be a reason why one is better than the other, and the differences here are just not it.

The same goes for objective Vs. Analytical. Analytical is perhaps better if the author actually does some analyzing, but in general both are neutral terms and I can see both as applicable to a wide variety of instances. Again, I'll need to look at specific examples to see whether they warrant one or the other, but generally I'd look for he answer elsewhere.