A solid is completely immersed in a liquid. The force exerted by the liquid on the solid will (a) increase if it is pushed deeper inside the liquid

(c) decrease if it is taken partially out of the liquid
(d) be in the vertically upward direction.

EXPLANATION:  

The force exerted by the liquid on the solid is equal to the volume of the liquid displaced, and the volume of the liquid displaced will not change if it is pushed deeper inside of the liquid or its orientation inside the liquid is changed. Hence (a) and (b) is not true.    

(c) is correct because if it is taken partially out the volume of the displaced liquid will decrease. 

(d) is correct because of the pressure in a horizontal plane in the liquid is same, so no net horizontal force on the solid. But the pressure near the top of the solid is less than near the bottom of the solid. Hence the force exerted by the liquid on the solid will be in the vertically upward direction.