Between two eggs which have identical sizes, shapes and weights, one is raw and the other is half-boiled. The ratio of the moment of inertia of the raw egg to that of the half boiled egg about a central axis is
as we know that, more the resistance to rotation greater the moment of inertia
This is a question of common sense. When we spin a raw egg, it spins slowly.
But boiled egg spins steadily while applying same force or torque.
So the resistance to rotation is more in raw egg.
So the moment of inertia of raw egg is more then boiled egg.
So the answer is (2).