Is xy > 5?
1) 1 <= x <= 3 and 2 <= y <= 4
2) x+y = 5
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Is xy > 5?
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LulaBrazilia
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Patrick_GMATFix
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We're never given enough data. Even when you combine the statements, if (x,y) = (1,4) then xy < 5. However if (x,y)=2,3) then xy > 5. The answer is E. I go through the question in detail in the full solution below (taken from the GMATFix App).
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Hi LulaBrazilia,
This DS question is perfect for TESTing Values:
We're asked "is XY > 5?" This is a YES/NO question.
Fact 1: 1 <= X <= 3 and 2 <= Y <= 4
If...
X=1 and Y=2 then XY = 2 and the answer to the question is NO
X=3 and Y=4 then XY = 12 and the answer to the question is YES
Fact 1 is INSUFFICIENT
Fact 2: X + Y = 5
If...
X=1 and Y=4, then XY = 4 and the answer to the question is NO
X=2 and Y=3, then XY = 6 and the answer to the question is YES
Fact 2 is INSUFFICIENT
Combined, we have a set of values that fits BOTH Facts:
If X=1 and Y=4....the answer is NO
If X=2 and Y=3....the answer is YES
Combined, INSUFFICIENT
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
This DS question is perfect for TESTing Values:
We're asked "is XY > 5?" This is a YES/NO question.
Fact 1: 1 <= X <= 3 and 2 <= Y <= 4
If...
X=1 and Y=2 then XY = 2 and the answer to the question is NO
X=3 and Y=4 then XY = 12 and the answer to the question is YES
Fact 1 is INSUFFICIENT
Fact 2: X + Y = 5
If...
X=1 and Y=4, then XY = 4 and the answer to the question is NO
X=2 and Y=3, then XY = 6 and the answer to the question is YES
Fact 2 is INSUFFICIENT
Combined, we have a set of values that fits BOTH Facts:
If X=1 and Y=4....the answer is NO
If X=2 and Y=3....the answer is YES
Combined, INSUFFICIENT
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
