IS x<y?
(1) 2x<3y
(2) xy>0
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Hi abhasjha,
This question can be solved by TESTing Values.
We're asked if X < Y. This is a YES/NO question.
Fact 1: 2X < 3Y
If....
X = 0, Y = 1, then the answer to the question is YES.
X = 1.1, Y = 1, then the answer to the question is NO.
Fact 2 is INSUFFICIENT
Fact 2: XY > 0
This tells us that X and Y are either both positive OR both negative, but gives us no idea as to which is greater (or if they're equal to one another).
Fact 2 is INSUFFICIENT
Combined, we know....
2X < 3Y
X and Y are both positive or both negative
If...
X = 1.1, Y = 1, then the answer to the question is NO
X = 1, Y = 2, then the answer to the question is YES
Combined, INSUFFICIENT
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
This question can be solved by TESTing Values.
We're asked if X < Y. This is a YES/NO question.
Fact 1: 2X < 3Y
If....
X = 0, Y = 1, then the answer to the question is YES.
X = 1.1, Y = 1, then the answer to the question is NO.
Fact 2 is INSUFFICIENT
Fact 2: XY > 0
This tells us that X and Y are either both positive OR both negative, but gives us no idea as to which is greater (or if they're equal to one another).
Fact 2 is INSUFFICIENT
Combined, we know....
2X < 3Y
X and Y are both positive or both negative
If...
X = 1.1, Y = 1, then the answer to the question is NO
X = 1, Y = 2, then the answer to the question is YES
Combined, INSUFFICIENT
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
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GMATGuruNY
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I received a PM asking me to comment.abhasjha wrote:IS x<y?
(1) 2x<3y
(2) xy>0
Statement 1: 2x < 3y
Rephrase one variable in terms of the other.
x < (3/2)y.
If y=2, then x<3.
Case 1: y=2 and x=1
In this case, x<y.
Case 2: y=2 and x=2.
In this case, x=y.
Notice that BOTH statements are satisfied by Cases 1 and 2.
Since x<y in Case 1, but x=y in Case 2, the two statements combined are INSUFFICIENT.
The correct answer is E.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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abhasjha wrote:IS x<y?
(1) 2x<3y
(2) xy>0
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