# Exactly one of these statements is true: 1. One of these statements is false. 2. Two of these statements are false...

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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?

posted Jul 1, 2018

+1 vote

If one statement is true, the rest four are false. The answer is 4.

Only this is true.

Similar Puzzles

Two of the following statements are true and the other one is false:

1. This statement is true.
2. The first statement is false.
3. The second statement is true.

Which statement is false?

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 ?

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

+1 vote
1. (1/10) statement is false
2. (2/10) statement is false
3. (3/10) statement is false
4. (4/10) statement is false
5. (5/10) statement is false
6. (6/10) statement is false
7. (7/10) statement is false
8. (8/10) statement is false
9. (9/10) statement is false
10. (10/10) statement is false.