Bangles in the box

Question: You are working in a store that stocks bangles. Three boxes of bangles have been incorrectly labeled. The labels say Red Bangles, Green Bangles and Red & Green Bangles. How can you re-label the boxes correctly, by taking only one bangle from one box?

Answer:

Keep in mind that boxes are incorrectly labeled.

Take out one bangle from the box labeled "Red & Green Bangles". There are 2 possibilities:

If that bangle is Red, it means that box contains Red Bangles. The box labeled as "Green Bangles" contains Red & Green Bangles. And box labeled "Red Bangles" contains Green bangles.

RED GREEN BOX --- Red Bangles

RED BOX --- Green Bangles

GREEN BOX --- Red & Green Bangles


If that bangle is Green, it means that box contains Green Bangles. The box labeled as "Green Bangles" contains Red Bangles. And box labeled "Red Bangles" contains Red & Green Bangles.

RED GREEN BOX --- Green Bangles

RED BOX --- Red & Green Bangles

GREEN BOX --- Red Bangles


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