The Six Sentences

Logic Level 2

Exactly one of these sentences is true.

(1): Statement 2 is true.
(2): Statement 1 is false.
(3): None of these statements are true.
(4): Statement 3 is true.
(5): Statement 4 is true.
(6): Statement 2 is false.
(7): Statement 3 is true.

Which of these statements must be true?

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