1. Can the first 8 natural numbers be arranged in a circle so that each number is divisible by the difference of its neighbors?
Answer: Yes.

Solution: For example, the numbers can be arranged as follows: $1,5,2,7,3,8,4,6$ (numbers 6 and $1-$ are adjacent).

Comment: Answer only - 0 points.

Correct example, even without verification - 7 points.

Note: The required arrangement is not unique.