If x and y are non-zero integers, is 3x greater than 2y?
(1) The ratio of x to y is more than 1/2.
(2) The sum of x and y is less than 0.
If x and y are non-zero integers, is 3x greater than 2y?
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On the GMAT, the term ratio is constrained to POSITIVE VALUES.Mo2men wrote:If x and y are non-zero integers, is 3x greater than 2y?
(1) The ratio of x to y is more than 1/2.
(2) The sum of x and y is less than 0.
Feel free to ignore this problem.
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HI Mo2men,
Mitch brings up a good point. We can change the prompt a bit (by rewording Fact 1) to create a prompt more in line with what you might see on the GMAT:
If X and Y are non-zero integers, is 3x greater than 2y?
(1) X/Y > 1/2.
(2) The sum of X and Y is less than 0.
This is a YES/NO question. It can be solved by TESTing VALUES.
(1) X/Y > 1/2.
This Fact tells us that X and Y are either both positive OR both negative.
IF....
X = 2, Y = 1... then the answer to the question is YES
X = -2, Y = -1... then the answer to the question is NO
Fact 1 is INSUFFICIENT
(2) The sum of X and Y is less than 0.
IF....
X = -2, Y = -4... then the answer to the question is YES
X = -2, Y = -1... then the answer to the question is NO
Fact 2 is INSUFFICIENT
Combined, we already have one TEST that 'fits' both Facts...
IF....
X = -3, Y = -5... then the answer to the question is YES
X = -2, Y = -1... then the answer to the question is NO
Combined, INSUFFICIENT
Final Answer: E
GMAT assassins aren't born, they're made,
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Mitch brings up a good point. We can change the prompt a bit (by rewording Fact 1) to create a prompt more in line with what you might see on the GMAT:
If X and Y are non-zero integers, is 3x greater than 2y?
(1) X/Y > 1/2.
(2) The sum of X and Y is less than 0.
This is a YES/NO question. It can be solved by TESTing VALUES.
(1) X/Y > 1/2.
This Fact tells us that X and Y are either both positive OR both negative.
IF....
X = 2, Y = 1... then the answer to the question is YES
X = -2, Y = -1... then the answer to the question is NO
Fact 1 is INSUFFICIENT
(2) The sum of X and Y is less than 0.
IF....
X = -2, Y = -4... then the answer to the question is YES
X = -2, Y = -1... then the answer to the question is NO
Fact 2 is INSUFFICIENT
Combined, we already have one TEST that 'fits' both Facts...
IF....
X = -3, Y = -5... then the answer to the question is YES
X = -2, Y = -1... then the answer to the question is NO
Combined, INSUFFICIENT
Final Answer: E
GMAT assassins aren't born, they're made,
Rich