Answer
Choice C. We need to know the initial temperatures of the ice and of the liquid water.
Work Step by Step
If the ice and water were both initially at $0^{\circ}C$, the ice wouldn’t melt, because the system would be in thermal equilibrium and no heat would transfer.
On the other hand, if the ice were at $0^{\circ}C$ but the water started out hot, at $100^{\circ}C$, the ice would all melt.
More information is needed to answer the original question.