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abhasjha: Master | Next Rank: 500 Posts; Posts: 379; Joined: Tue Sep 30, 2008 7:17 amFollowed by: 11 members; Location: NY; Thanked: 28 times

by abhasjha » Sun Aug 31, 2014 9:22 pm

IS x<y?

(1) 2x<3y

(2) xy>0

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Source: Beat The GMAT — Data Sufficiency | Sun Aug 31, 2014 9:22 pm

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by [email protected] » Sun Aug 31, 2014 9:43 pm

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

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Rich

Contact Rich at [email protected]

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GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Mon Sep 01, 2014 10:53 am

abhasjha wrote:IS x<y?

(1) 2x<3y

(2) xy>0

I received a PM asking me to comment.

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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GMATinsight: Legendary Member; Posts: 1100; Joined: Sat May 10, 2014 11:34 pmFollowed by: 24 members; Location: New Delhi, India; Thanked: 205 times

by GMATinsight » Tue Sep 02, 2014 10:50 pm

abhasjha wrote:IS x<y?

(1) 2x<3y

(2) xy>0

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