2. There are two hollows in the cedar. The baby squirrel sitting in front of the second hollow said:
1) there are no nuts in the other hollow,
2) there are nuts in at least one hollow.

Red baby squirrels always tell the truth, while gray ones always lie. What color is this baby squirrel?
Answer. Red.

Solution. Suppose he is gray, then both statements are false. If the second statement is false, there are no nuts in any hollow. And if the first statement is false, there are nuts in another hollow, which is a contradiction. Let the squirrel be red, then both statements are true. Then from the second statement, there are nuts somewhere, and from the first, there are no nuts in the first hollow. Therefore, the nuts are in the second hollow.

Comment. Correct solution - 20 points. Only one version leading to the answer is considered - 10 points. The solution is started, there is some progress - 5 points. The solution is started, but the progress is insignificant - 1 point. The correct answer is given without explanations - 1 point.