A magical island is inhabited entirely by knights (who always tell the truth) and knaves (who always tell lies).

One day 25 of the islanders were standing in a queue.

The first person in the queue said that everybody behind was a knave.

Each of the others in the queue said that the person immediately in front of them in the queue was a knave.

How many knights were there in the queue?


If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.