Answer
Not valid
Work Step by Step
The statement is a classic example of a paradox known as the "Barber Paradox." It leads to a logical contradiction because if the cook cooks for themselves, they shouldn't be cooked for by the ship's cook according to the statement. Conversely, if the ship's cook doesn't cook for themselves, they should be cooked for by the ship's cook, again contradicting the statement.
This paradox highlights the inherent self-referential inconsistency in the statement. Therefore, it's impossible to determine who cooks for the cook based on the statement alone.
