How can they do even say it?
There are five people were going to join a computer test , but some of them did not come , so the teacher asks them how many students came to the test , and she get these answers:
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Petra: "No one went to the test."
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Peter: "One of us went to the test."
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Paul: "Two of us went to the test."
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Patricia: "Three of us went to the test."
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Penny: "Four of us went to the test."
We only know that the people who went to the test tell the truth , the other lie. Q: How many students went to the test?
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1 solution
Petra says "No one went to the test". If Petra went to the test, that means he should say truth but he says that no one went to the test which is false. So we conclude that Petra did not went to the test which means he lied which means at least 1 person went to test.
Peter says "One of us went to the test". If Peter went to the test then he should say truth and he says that one of them went to test which is true. So only Peter went to the test.
Let suppose Peter did not went to the test which means he lied which means at least 2 person went to the test. Paul says "Two of us went to the test". If Paul went to the test he must be truth. That means along with him there is 1 more person among Petrica and Penny who went to the test. But then their statement would be false. That means Paul did not went to test.
If Petra, Peter and Paul did not went to test. Then there is no way that Petrica and Penny statement is correct.
This implies that our assumption that Peter did not went to the test is false. So only Peter went to the test. Hence the answer is 1.