## To Catch A Liar

#### Problem

In talking to three children you ask A if they always tell lies. Although A fully understands you she answers in a language that only B understands.

B says that A just denied being a liar.

C says that although she doesn't know what A said, she is a liar and cannot be trusted.

Given that each of the children will always lie or always tell the truth, how many liars are there?

Problem ID: 255 (01 Jan 2006) Difficulty: 1 Star