Answer
Object A
Work Step by Step
Since both objects have equal masses (1000 grams) and are heated to equal temperatures (100 Degree's Celsius). We know because of our formula Q=mC$\Delta$T .
Change in temperature and mass are equal for both objects. Since Object A had increased the temperature of the water more than object B, it must have had more heat added (Q) and therefore it must have a higher specific heat capacity.
