If I say something false, then I say something false.

When preparing a piece of logic material, I created the following 10 logical reasoning questions. In each question, Party A, Party B, and Party C each say a sentence, and you need to determine whether the truth or lie is true or false. Each problem has a unique solution. Note that, unlike the traditional logic reasoning questions, there is no condition to tell you how many people are telling the truth and how many others are telling lies. When solving the problem, try to avoid using the enumeration method to try all eight possibilities. Otherwise, the meaning of "Logical Reasoning" will be lost.

 
(1) A: B is telling a lie
B: What C says is false.
C: A either tells the truth or tells a lie.

Answer: Apparently, C is telling the truth.
Therefore, B is telling a lie.
Therefore, Jia tells the truth.

 
(2) A: Some of the three of us tell the truth.
B: Some of us say false things.
C: none of the three of us spoke false words.

Answer: What B and C say is a conflict. What they say is true or false.
This indicates that some of the three people tell the truth and some others tell lies.
Therefore, both Party A and Party B tell the truth, while Party C tells lies.

 
 
(3) A: all three of us tell the truth.
B: all three of us say false things.
C: Some of the three of us are telling the truth, while others are telling lies.

Answer: these three statements conflict with each other, but cover all the situations.
Therefore, only one of the three sentences is true.
Therefore, what a and B say is false, and what C says is the truth.

 
 
(4) A: the truth from Bing
B: the lie of Party C
C: either of you tells the truth or lies.

Answer: What a and B say is a conflict. What they say is true or false.
Therefore, C is telling the truth.
Therefore, Party A tells the truth and Party B tells lies.

 
 
(5) A: B tells the truth.
B: A tells the truth.
C: what we are talking about is false.

Answer: Obviously, C cannot tell the truth.
Therefore, C is a lie.
Therefore, not everyone is telling lies.
Therefore, at least one of Party A and Party B tells the truth.
No matter who tells the truth, either party A or Party B can tell the truth.

 
 
(6) A: One of us speaks false words.
B: Two of us say false things.
C: three of us say false things.

Answer: Obviously, it is impossible for everyone to say false things. Otherwise, Bing will tell the truth.
Obviously, it is impossible for two or more people to tell the truth, because these three sentences are in conflict.
Therefore, one person tells the truth.
Therefore, two people say false things.
Therefore, Party B tells the truth, while Party A and Party C say false things.

 
 
(7) A: I am telling the truth.
B: I am telling the truth.
C: If I tell the truth, both Jia and Yi are telling the truth.

Answer: If C is telling lies, "if I tell the truth, then ......" Always true, conflicting.
Therefore, C must tell the truth.
Therefore, both Party A and Party B tell the truth.

 
 
(8) A: If B is telling the truth, B is telling the truth.
B: If B tells the truth, B tells the truth.
C: what we are talking about is false.

Answer: It is impossible for everyone to say anything. Otherwise, Party A and Party B will tell the truth.
Therefore, C is a lie.
Therefore, B tells the truth.
Therefore, a is a lie.

 
 
(9) A: If Jack says false words, then I say false words.
B: If C is telling lies, then I am telling lies.
C: If I say something false, then I say something false.

Answer: If "C" is a lie, then "If I say a lie, then I say a lie" is true and contradictory.
Therefore, C is telling the truth.
Therefore, both Party A and Party B tell the truth.

 
 
(10) A: the three of us either tell the truth or tell the truth.
B: The three of us either tell the truth or tell the truth.
C: The three of us either tell the truth or tell the truth.

Answer: Obviously, they are telling the truth.