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IMSO 2024 Mathematics — International Short Answer Question 14

IMSO Science · IMSO 2024 Mathematics — International Short Answer

Question 14

Inspector Daniel is investigating a crime. He apprehends three suspects: Anne, Bill, and Caroline. He knows that no one else could have participated in the crime. During the interrogation, each of the suspects make two statements:

- Anne: I didn’t do it. Bill did it.
- Bill: I didn’t do it. Caroline did it.
- Caroline: I didn’t do it. Anne did it alone.

Daniel also discovered that one of the suspects always tells the truth and the other two always give false statements. Who is the truth-teller?