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GMAT Question of the Day : Data Sufficiency

If x and y are positive, is 4x > 3y?

(1) x > y - x
(2) x/y < 1

A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
D) EACH statement ALONE is sufficient
E) Statements (1) and (2) TOGETHER are NOT sufficient

Written by Take GMAT Team on September 9th, 2008 with 22 comments.
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22 comments

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Get your own gravatar by visiting gravatar.com magnus1
#1. April 15th, 2007, at 1:57 PM.

(1) => 2x > y which => 4x > 2y. However, this does not clearly tell whether 4x is greater than or less than 3y. INSUFFICIENT.

(2) => x > y which => 3x > 3y. This again does not clearly tell whether 4x is greater than or less than 3y. INSUFFICIENT.

(1) + (2) combined fail to clarify whether 4x is greater than 3y or not.

Hence, ans is E

Get your own gravatar by visiting gravatar.com magnus1
#2. April 15th, 2007, at 1:59 PM.

Correction in my earlier post:
(2) => x < y which => 3x < 3y. This again does not clearly tell whether 4x is reater than or less than 3y. INSUFFICIENT.

Answer remains the same, however.

Get your own gravatar by visiting gravatar.com AP
#3. April 15th, 2007, at 2:01 PM.

Agree with magnus. Answer is E.

Get your own gravatar by visiting gravatar.com Maulik
#4. April 15th, 2008, at 4:09 PM.

E

Get your own gravatar by visiting gravatar.com piyush
#5. April 15th, 2008, at 4:38 PM.

E

Get your own gravatar by visiting gravatar.com Jitendra
#6. April 15th, 2008, at 10:48 PM.

1 Says –> x > y-x
==> 2x > y
==> 4x > 2y
==> 6x > 3y
Hence, we can definately say that 4x is NOT >3y
1 is SUFFICIENT
2 is UNSUFFICIENT as explained before
Thus answer should be ‘A’

Take GMAT team please clarify.

Get your own gravatar by visiting gravatar.com sumanth toom
#7. April 17th, 2008, at 11:16 AM.

Ans is E and not A.
Jitendra, here is what you missed. 2y 3x.
ex: x = 4 and y = 5.

Get your own gravatar by visiting gravatar.com imon
#8. April 17th, 2008, at 1:11 PM.

B

Get your own gravatar by visiting gravatar.com Rooney
#9. April 25th, 2008, at 12:16 PM.

I think the answer should be E. This is my approach.
From the question, both X and Y are positive: X > 3/4Y ? or X > 0.75Y ?
Statement 1: X > Y-X
2X > Y
X > Y/2 or X > 0.5Y
If X = 0.6Y, the answer is NO. However, if X = 0.8Y, the answer is YES.
Since the answer can be either YES or NO, statement 1 is insufficient.

Statement 2: X/Y

Get your own gravatar by visiting gravatar.com shilpa
#10. August 7th, 2008, at 2:58 AM.

E

Get your own gravatar by visiting gravatar.com Ramz
#11. September 9th, 2008, at 12:29 PM.

E is correct.
Draw xy coordinates for 4x-3y=0 ;

then for 1st: x>y/2 coordinate shows there is diff between the planes..doesn not confirm
second one does not confirm either

combinming 2: again no results

Get your own gravatar by visiting gravatar.com santo
#12. September 9th, 2008, at 1:15 PM.

B.

Get your own gravatar by visiting gravatar.com shakya
#13. September 9th, 2008, at 8:46 PM.

b

Get your own gravatar by visiting gravatar.com jaspreet
#14. September 9th, 2008, at 10:40 PM.

E

Get your own gravatar by visiting gravatar.com Yao
#15. September 9th, 2008, at 10:56 PM.

E. The question is whether x > 3/4y. 1st hint gives x 0.5y.

That does not mean x cannot be one of the infinite values between 0.5y and 3/4y.

Get your own gravatar by visiting gravatar.com Latha
#16. September 10th, 2008, at 12:30 PM.

B

Get your own gravatar by visiting gravatar.com Basant
#17. September 10th, 2008, at 9:00 PM.

E acc to me…

Get your own gravatar by visiting gravatar.com Deepika
#18. September 11th, 2008, at 3:03 PM.

IMO B

Get your own gravatar by visiting gravatar.com Deepika
#19. September 11th, 2008, at 3:08 PM.

Sorry I go for E.
As Everyone agrees stmt-1 is not sufficient i will explain stmt-2

Stmt 2 says x/y < 1 it means always y is greater than x.

so if we take x=1 y= 2 then 4x is not greater than 3y
x= 4 y = 5 the it is greter
Hence we dont hav a definate ans.

Get your own gravatar by visiting gravatar.com Dharm
#20. September 11th, 2008, at 5:40 PM.

My answer is Option E

Get your own gravatar by visiting gravatar.com Doom
#21. September 12th, 2008, at 3:37 PM.

e

Get your own gravatar by visiting gravatar.com kapil
#22. September 13th, 2008, at 9:43 AM.

E

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