Hi All,
We're told that X, Y, P and Q are POSITIVE. We're asked if X is >= to Y. This is a YES/NO question. We can solve it with a mix of arithmetic and TESTing VALUES.
1) (P)(X)/(Q)(Y) = P/Q
If we cross-multiply this fraction, we get...
(P)(X)(Q) = (P)(Q)(Y)
Since we know that all of the variables are POSITIVE, we can 'cancel out' the P and Q, which leaves us...
X = Y
Thus, the answer to the question is ALWAYS YES.
Fact 1 is SUFFICIENT
2) (X)(Y) = P
With this Fact, we have no idea how X and Y relate to one another. For example:
IF... X=1, Y=2, P=2 then the answer to the question is NO.
IF... X=1, Y=1, P=1 then the answer to the question is YES.
Fact 2 is INSUFFICIENT
Final Answer:
GMAT assassins aren't born, they're made,
Rich
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