Unit 12 · Multi-Step Conditional Reasoning

Three Crime Suspects — One Truth-Teller

Lesson 10 of 30

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About this lesson

Three suspects, one guilty. Each makes a statement. But only one is telling the truth. Whose statement is true? Whose is a lie? You need to test each scenario — only one arrangement produces exactly one truth-teller.

Chapters

0:00Introduction
0:21Question
1:06Strategy
1:39Step 1: Case 1 — Darren guilty
2:06Step 2: Case 2 — Bobby guilty
2:31Step 3: Case 3 — Arthur guilty → answer D
3:50Correct answer

Question

Three men – Arthur, Bobby and Darren – are suspects in a crime investigation. Only one man is guilty. When they are questioned, they give the following statements:

Darren: “Bobby is guilty.”

Bobby: “I am not guilty.”

Arthur: “I am not guilty.”

However, only one of the three men is telling the truth; the other two are lying.

Which one of the following statements must be true?

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