Not even that - it's the kind of question that becomes dramatically easier to answer if you know how to trick your brain into thinking it's easy. "Given that all cats are animals and some animals are mice, are all mice cats?"

It's actually a harder question if you phrase it with cats, animals, and mice! The correct answer is "possibly" (either yes or no), but the cats, animals, and mice question predisposes you to answer with "no".

For me, that kind of comes under the category of "know how to answer the question": that is, "remember that you have produced an example, which does not constitute proof but merely evidence". You're right that it's still not easy to distinguish between "definitely yes" and "not {definitely no}", though I do still find it easier with nouns-which-I-know than made-up-words, I think. I should have put in an attempt to make the statement true - maybe "Given that all cats are cats, and some cats are cats, are all cats cats?"