It would be easy for even the greatest genius in the world to question the intent of the question regarding Tom's poisoning. It's easy to wonder whether the person who wrote the question intended the answer to be false, even if it's understood that in a literal sense it's indeterminable. Being poisoned is just too rare of a condition.
In fact, even if you said the first two statements were true, someone could argue in an equally literary sense that just because Tom "likes" to eat store raspberries, it doesn't mean he has recently done so. It would be absurd considering the assumed point of such a question, but literally true.