Bunuel wrote:
If tank X contains only gasoline, how many kiloliters of gasoline are in tank X.
(1) If 1/2 of the gasoline in tank X were pumped out, the tank would be filled to 1/3 of its capacity.
(2) If .75 kiloliter of gasoline were pumped into tank X, it would be filled to capacity.
Target question: How many kiloliters of gasoline are in tank X. Statement 1: If 1/2 of the gasoline in tank X were pumped out, the tank would be filled to 1/3 of its capacity. This tells us that, BEFORE half of the gasoline was pumped out, the tank was 2/3 full (in other words, BEFORE half of the gasoline was pumped out, the volume of the tank must have bean TWICE the volume after half the gas was pumped out).
So, all statement one tells us is that the tank is presently 2/3 full.
Statement 1 is NOT SUFFICIENT
Statement 2: If .75 kiloliter of gasoline were pumped into tank X, it would be filled to capacity.All this statement tells us is that the present volume all of the tank is 0.75 kiloliters short of being full.
Since we can’t answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined Statement 1 tells us is that the tank is presently 2/3 full.
Statement 2 tells us the present volume all of the tank is 0.75 kiloliters short of being full.
Combined, the two statements tell us that 0.75 kiloliters represents 1/3 of the tank's capacity.
Since the tank is presently 2/3 full,
the volume in the tank = (2)(0.75) = 1.5 kilolitersSince we can answer the
target question with certainty, the combined statements are SUFFICIENT
Answer: C