Milkman problem

[nidhis.1408]

A milkman's vessel can hold maximum how many liters of milk?

(1) The vessel contains 7 liters of milk currently.

(2) If 4 liters of milk are added to the vessel when it is half full of milk, the amount of milk in the vessel will increase by 1/4.

[Mike@Magoosh]

A milkman's vessel can hold maximum how many liters of milk?

(1) The vessel contains 7 liters of milk currently.

(2) If 4 liters of milk are added to the vessel when it is half full of milk, the amount of milk in the vessel will increase by 1/4.

Hi, there. I'm happy to help with this.

The prompt is simply asking for the volume, V.

Statement #1: This tell us how much milk the vessel currently holds, but we have no idea how close that is to capacity. All we could say is V ≥ 7 liters. We cannot determine the volume. This statement, by itself, is insufficient.

Statement #2: "If 4 liters of milk are added to the vessel when it is half full of milk, the amount of milk in the vessel will increase by 1/4." This one links proportional amounts with real amounts --- any statement of that form is automatically sufficient.
Specifically, it says that if we start at (1/2)*V, and add 4 L more, then volume will increase by (1/4) --- in other words, 4 L is (1/4) of (1/2)*V -----

4 = (1/4)*(1/2)*V

4 = V/8

32 = V

So the capacity of the vessel is 32 liters. This statement, by itself, is sufficient.

Answer = B

Does all this make sense?

Mike