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GMAT Question of the Day: Data Sufficiency

If x= 3y , is x^2 > y^2 ?

1 ) y+x > y-x
2) x^2 = 9y^2

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 raviraushanjha on August 23rd, 2008 with 15 comments.
Read more articles on Average difficult GMAT Questions and Correct Answer with Explanation and Data Sufficiency and GMAT Average and GMAT Data Sufficiency and GMAT Difficulty level and GMAT Quantitative and GMAT Question of the Day.

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15 comments

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Get your own gravatar by visiting gravatar.com Basant
#1. August 23rd, 2008, at 9:39 PM.

i think its D..
considering that its x^2 and y^2 so any value of x or y we take either negative or positive, its square is going to be positive….
hence x^2=9y^2
hence x^2 will always be greater than y^2…

Get your own gravatar by visiting gravatar.com Vamsi Krishna Kanuri
#2. August 24th, 2008, at 9:36 AM.

D

Get your own gravatar by visiting gravatar.com shilpa
#3. August 24th, 2008, at 4:55 PM.

D

Get your own gravatar by visiting gravatar.com kapil
#4. August 24th, 2008, at 5:56 PM.

D

Get your own gravatar by visiting gravatar.com Laura
#5. August 24th, 2008, at 8:46 PM.

Aren’t the statements unnecessary?

If x = 3y, the question is asking if (3y)^2 > y^2. Negative/positive isn’t going to matter because it’s being squared, and 3/fraction squared is always going to be bigger than 1/same fraction squared. So - why are the two statements necessary at all?

Get your own gravatar by visiting gravatar.com Carolalo
#6. August 25th, 2008, at 6:03 AM.

I agree with Laura

Get your own gravatar by visiting gravatar.com AMIT kUMAR
#7. August 25th, 2008, at 9:22 AM.

None of the statements are necessary .it can be answered on its oqwn.

Get your own gravatar by visiting gravatar.com vikas sharia
#8. August 25th, 2008, at 12:14 PM.

Yes laura’s ans goes with the right approach.

Get your own gravatar by visiting gravatar.com Sandeep
#9. August 25th, 2008, at 12:43 PM.

B

Get your own gravatar by visiting gravatar.com raviraushanjha
#10. August 25th, 2008, at 3:52 PM.

x^2 > y^2
=>x^2 - y^2 > 0
=>9y^2-y^2 >0
this implies either y> 0 or y<
for y = 0 x^2> y^2 does not hold true.

this is the Mistake Laura made.

Statement 1 : y+x > y-x
substituting x=3y
=>y + 3y > y - 3y
=> 4y > -2y
=> 6y> 0
y > o sufficient.

Statement 2 : x^2 > 9y^2 does not tell us whether y is greater or less than 0. so insufficient.

Hope this helps.

Answer (A)

Get your own gravatar by visiting gravatar.com Ankur
#11. August 26th, 2008, at 2:58 PM.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

Get your own gravatar by visiting gravatar.com Pooja
#12. August 28th, 2008, at 4:25 PM.

1) y+x>y-x
take y = 3, x=2
then 5>1
take y=2, x=3
again 5>-1
hence insufficient

2) x^2 = 9y^2
sufficient

Get your own gravatar by visiting gravatar.com Immanuel Ashok
#13. August 29th, 2008, at 9:36 AM.

B is the correct answer! i.e Statement 2 alone is sufficient to answer the question.

The question is - Is x^2 > y^2?

From statement (2) we find that x^2 > 9y^2. i.e X squared is greater than 9 times Y squared! Here, we are checking only for squared quantitites. Therefore it can be safely established that X squared is greater than Y squared.

In case of statement (1) the value of y cancels out y-y on moving y to any side. and we are left with 2x>0. This can only mean that x>0 and says nothing of y. Hence we are unable to answer the question is x^2>y^2 from this statement.

Get your own gravatar by visiting gravatar.com Alex
#14. September 12th, 2008, at 12:17 PM.

The answer is A.

x^2 > y^2 will ALWAYS hold true EXCEPT the case where x = y = 0. 1) y+x > y-x implies that x and y cannot be equal to zero both at the same time (0 > 0 -> FALSE), so it is sufficient to answer the question.

Get your own gravatar by visiting gravatar.com Chandan
#15. October 20th, 2008, at 10:03 PM.

Take GMAT team…. Please give the correct answer.

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