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

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If sentence 1 says, ‘Sentence 2 is true’, and sentence 2 says, ‘Sentence 1 is false’, then which one of them is true?
posted Jun 9, 2017

answer Jun 10, 2017 by anonymous

Similar Puzzles

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?

If only one of the statements is true, then who is the murderer?
X: Y is the murderer
Y: Z id the murderer
Z: neither X nor Y is the murderer

Billy "The Knife," the infamous tough guy, was found murdered one night in an alleyway behind the nightclub he used to frequently visit. The police brought in three suspects on the next morning. One of the officers interrogated the three men and noted down the following statements.

Alex:
1. I did not kill Billy.
2. Jimmy is not my friend.
3. I knew Billy.

Jimmy:
1. I did not kill Billy.
2. Alex and Dexter are friends of mine.
3. Alex did not kill Billy.

Dexter:
1. I did not kill Billy.
2. Alex lied when he said that Jimmy was not his friend.
3. I do not know who killed Billy.

Only one of the three is guilty, and only one of each man statements is false. Who killed Billy the Knife ?