A children's task about ladder sellers that will test your logic

For convenience, we number the statements of friends:

1. George sold the second largest number of ladders (Aleksey).
2. I sold the third largest number of ladders (Aleksey).
3. I sold the ladders the most (Boris).
4. Viktor sold the second largest number of ladders (Boris).
5. I sold the third largest number of ladders (Victor).
6. Boris sold the least amount of ladders (Victor).
7. I sold the second largest number of ladders (Georgy).
8. Dmitry sold the fourth largest number of ladders (George).
9. I sold the fourth largest number of ladders (Dmitry).
10. Alexey sold the ladders the most (Dmitry).

Statements 8 and 9 have the same meaning, so they can only be false (option 1) or only true (option 2). Let's consider both cases.

Option 1

If statements 8 and 9 are false, then 7 and 10 are true. Statement 4 contradicts statement 7, that is, it is false. Then statement 3 is true.

It turns out that both statement 3 and statement 10 are true. This is impossible, because two people could not be in the first place at once. Therefore, in this case the problem has no solution.

Option 2

If statements 8 and 9 are true, then Dmitry is in fourth place, and statement 7 is false. In terms of meaning, it coincides with statement 1, then statement 2 is true and Alexey took the third place.

Statement 5 contradicts true statement 2, so it is false, and statement 6 is true. Boris was in last place.

Statement 3, which contradicts statement 6, is false. Then statement 4 is true and Victor takes the second place. George remains only the first place.

Answer: Georgy took first place, Viktor - second, Alexey - third, Dmitry - fourth, and Boris - fifth.