Given the following 12 statements, which ones are true? 1. This is a numbered list of twelve statements.
2. Exactly 3 of the last 6 statements are true.
3. Exactly 2 of the even-numbered statements are true.
4. If statement 5 is true, then statements 6 and 7 are both true.
5. The 3 preceding statements are all false.
6. Exactly 4 of the odd-numbered statements are true.
7. Either statement 2 or 3 is true, but not both.
8. If statement 7 is true, then 5 and 6 are both true.
9. Exactly 3 of the first 6 statements are true.
10. The next two statements are both true.
11. Exactly 1 of statements 7, 8 and 9 are true.
12. Exactly 4 of the preceding statements are true.