The following sentence is false. The preceding sentence is true. Are these sentences true or false?

Question

Exactly one of these numbered statements is true:
1. One of these statements is false.
2. Two of these statements are false.
3. Three of these statements are false.
4. Four of these statements are false.
5. Five of these statements are false.

Which of the statements is true?

Answer 1

Neither, it's a paradox. If the first is true, then the second must be false, which makes the first false