Lateral Thinking Puzzles

24. Cap Color Riddle

1 Classroom with 3 sides of non-transparent/reflecting glass and one side with Black board. Three students A, B & C are sitting in a straight line facing the black board. No one is having permission to look back or speak with one another. C is the last one. C can see B & A, B can see A but A can't see anyone as A is just next to the Black board. An instructor is there standing in the right corner of the Black board and has 2 Red and 3 Blue Caps. The instructor individually goes to every desk and keeps 1 cap on each individual's head and goes back to the initial position. Now the instructor asks C, 'Can you tell me what is the color of his cap without touching the cap or looking above?' C says - 'I can't' …

Added 3 August 2009

Solution:

C can deduce the colors of the caps based on what he sees. If C sees two caps of the same color, he knows his cap must be the other color. If he sees two different colors, he cannot determine his own cap's color. The instructor can then provide hints based on the students' reactions.


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