Raw and boiled eggs are made to spin on a smooth table by applying the same torque. The egg that spin faster is
Boiled egg
The hardboiled egg acts just like a rigid body while raw egg contains liquid material in it. When rotated the liquid is pushed away from the centre due to centrifugal force. Therefore mass in raw egg is distributed farther from the axis compared to boiled egg, so moment of inertia for raw egg is more so raw egg spin with less angular acceleration. Therefore, boiled egg will spin faster than raw egg.