Hi All,
While this question appears layered, it can be solved rather easily by TESTing VALUES and paying attention to the relative 'positions' of the variables on the number line. It's important to note that since this is a DS question, we CANNOT trust the picture. We DO know the "order" of the variables on the number line, but we do NOT know if they are evenly spaced out.
We're asked if R is CLOSEST to 0. This is a YES/NO question.
Fact 1: Q = -S
This tells us that Q and S are opposites. By extension, since they represent 2 DIFFERENT spots on the number line, neither can be 0. Also, since they're opposites and Q is "farther left", then Q is NEGATIVE and S is POSITIVE.
IF....
Q = -1
S = 1
R is BETWEEN -1 and 1, so it IS the closest to 0 and the answer to the question is YES.
IF...
Q = -2
S = 2
R is BETWEEN -2 and 2, so it IS the closest to 0 and the answer to the question is YES.
This pattern is consistent no matter what set of numbers you use for Q and S. The answer is ALWAYS YES.
Fact 1 is SUFFICIENT
Fact 2: -T < Q
IF....
Q = -2
T = 3
We can then place R and S between the two values....
IF....
R = 2.1
S = 2.2
Q is closer to 0 than R is, so the answer to the question is NO
IF....
R = 0
S = 1
R is the closest to 0 (it IS 0), so the answer to the question is YES
Fact 2 is INSUFFICIENT
Final Answer:
GMAT assassins aren't born, they're made,
Rich