Riddles are known to strengthen brain activity, improve logical reasoning, and sharpen focus.

The correct answer is 4.

Explanation:
The trick is that the same two eggs are being referred to throughout the statement.

So:

You start with 6 eggs
The same 2 eggs are broken, cooked, and eaten
That means only 2 eggs are used in total, not 6
Therefore:
6 − 2 = 4 eggs remaining.