The correct statement is:
It will spread uniformly over the surface of the sphere, because of the conducting nature of the sphere and similar charges push away from each other.
This is true because when a charged object (in this case, the rubber rod) comes into contact with a conducting object (the metal sphere), the free electrons in the conductor will redistribute themselves in response to the negative charges from the rod. The like charges repel each other, causing the negative charges to spread out evenly over the surface of the conducting sphere until electrostatic equilibrium is reached.