Hi all,
These types of DS questions can be approached with a mix of Algebra and TESTing VALUES.
We're told that a team played X games and won Y of those games (there were NO ties). We're asked for the value of Y.
Fact 1: If the team lost 2 more games, then it would have won 20% of its games.
Algebraically, you can set up the following equation:
Y - 2 = .2X
This equation does not help you to determine the value of Y.
From a practical standpoint, you can also TEST VALUES:
IF...
X = 5 games
Y = 3 wins
Y-2 = 1 win
1/5 = 20% and the answer to the question is 3.
IF....
X = 10 games
Y = 4 wins
Y-2 = 2 wins
2/10 = 20% and the answer to the question is 4
Fact 1 is INSUFFICIENT
Fact 2: If the team won 3 more games, then it would have lost 30% of its games (meaning the team would have WON 70% of its games
Again, we can use algebra:
Y + 3 = .7X
But we have the same problem we had in Fact 1 - the equation does not help you to determine the value of Y.
Here's the proof by TESTing VALUES:
IF....
X = 10 games
Y = 4 wins
Y+3 = 7 wins
7/10 = 70% and the answer to the question is 4.
IF....
X = 20 games
Y = 11 wins
Y+3 = 14 wins
14/20 = 70% and the answer to the question is 11
Fact 2 is INSUFFICIENT
Combined, we know:
Y - 2 = .2X
Y + 3 = .7X
Here, we have a "system" of equations - with 2 variables and 2 unique equations, we CAN solve and get the value of Y.
Combined, SUFFICIENT
Final Answer:
GMAT assassins aren't born, they're made,
Rich