Can You Solve this Tropical Puzzle?

Engineering

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Can You Solve this Tropical Puzzle?

Engineering

This strange brain teaser has been circulating around our office recently. We’ve come up with a few different plausible solutions. Can you solve it?

1000  people live on a tropical paradise island. They are all really smart  and always act with perfect rationality. They’re also mute- they can’t  talk but they can hear and see each other with perfect clarity. There  are no reflective surfaces on the island, which is convenient because  the residents live by a peculiar rule: if you learn the color of your  own eyes, then you must leave the island at midnight.

One  day, a visitor comes to the island. Everyone on the island comes to  greet the visitor. The visitor says to them, “I see someone with blue  eyes,” then leaves the island. There are 500 residents with blue eyes  and 500 with brown eyes. After the visitor leaves, who leaves the island and on which night?

Leave a comment with your response or questions! We will be responding with helpful hints as well.