Any question that is poorly specified can generally be augmented with reasonable assumptions or approximations, so that an AI could potentially give an answer. W|A is a natural language interface after all, and seeing all the "W|A can" posts on the account shows that it can certainly answer questions that don't have a precise mathematical definition. The intent behind each question is usually clear to me, and to have an AI that is useful to humans, we expect the AI to infer this intent and make reasonable assumptions.
Even "focal length of the Eye of Sauron" could conceivably be given a rough answer from estimates of the eye's geometry (either from descriptions in the books, or a visual comparison with other objects of approximately-known size in the movie).
The interesting part of the account IMO is thinking through how a hypothetical AI might answer each question. Take the latest question, "derivative of the shore length of Tasmania with respect to ocean depth". This is poorly specified in that "Tasmania" only exists for ocean depths that are low enough to not completely cover it and high enough to not have another land mass connect to it, and I'm sure there's tons of other assumptions that humans would implicitly make in answering a question like that. But the topography of the Earth is approximately known, and I can see how a rough answer could be calculated. Thinking through these assumptions, and comparing current technology with what we'd expect from an AGI, is quite illuminating, and is what makes that Twitter account so awesome IMO.