What does ''beats me mean?

Answer 1

Used to indicate when you don't understand something or don't know the answer. The emphasis is on the me. Think of it in the way that the solution to the problem is beyond the ability of the person who said the phrase.

Answer 2

"Beats me" is an informal expression used to indicate that the speaker does not know the answer to a question or the reason behind something. It is often used to convey confusion or uncertainty.