If sentence 1 says, ‘Sentence 2 is true’, and sentence 2 says, ‘Sentence 1 is false’, then which one of them is true?

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

This is a paradox that has no answer.

Answer 2

Neither, it's a paradox.

Answer 3

This is a paradox which has no answer