Math Riddles

These Math Riddles are based on math concepts and can be solved with a bit of math and logic. These fun riddles can surely give you a tough time.

100 Blue Eyes

On a certain island there are people with assorted eye colors. There are 100 people with blue eyes and 100 people with brown eyes. Since there are no mirrors on this island, no person knows the color of their own eyes.

The people on the island are not allowed to talk or communicate with each other in any way. They are also not aware of the number of blue or brown eyed people on the island. For all they know, they could have red eyes too. But they are allowed to observe other people and keep count of the number of people with a certain eye color. There is a rule that the people on the island have to follow – any person who is sure of their eye color has to leave the island immediately.

One day, a person comes to the island and announces to the people that he sees someone with blue eyes. Everyone knows that the person only speaks the truth. What do you think happens?

Riddle Answer

Two Trains and a Fly

Two trains travel toward each other on the same track, beginning 100 miles apart. One train travels at 40 mph (miles per hour); the other travels at 60 mph.

A fly starts flight at the same location as the faster train, flying at a speed of 90 mph. When it reaches the slower train, it turns around, flying the other direction at the same speed. When it reaches the faster train again, it turns around, and so on. When the trains meet, how far will the fly have flown?

Riddle Answer

River Crossing – Wolf, Sheep, Cabbage

A farmer must transport a wolf, a sheep and cabbage from one side of a river to another using a boat. But in crossing the river by boat, the farmer could carry only himself and a single item – the wolf, the sheep or the cabbage.

If left together, the wolf would eat the sheep, or the sheep would eat the cabbage.

How can the farmer transport the wolf, the sheep and the cabbage across the river without losing any of them?

Riddle Answer