Annie says Becky is lying
Becky says Carol is lying
Carol says both Annie and Becky are lying
Who is lying, and who is telling the truth?
- If Carol is telling the truth, then Annie (and Becky) is lying. In that case, Becky is not lying (opposite of what Annie, the ‘liar’ said). This is a contradiction. Therefore, Carol is lying.
- Since Carol is lying, the person who identified that correctly, Becky, must be telling the truth
- If Becky is telling the truth, the first statement is incorrect. Therefore, the person who made the first statement, Annie, is also lying.