GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 23 Oct 2018, 09:44

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

If x and y are positive, is x > y^2?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Intern
Intern
avatar
Joined: 18 Oct 2009
Posts: 48
Schools: Kellogg
If x and y are positive, is x > y^2?  [#permalink]

Show Tags

New post 31 Oct 2009, 22:07
1
2
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

68% (02:03) correct 33% (01:53) wrong based on 132 sessions

HideShow timer Statistics

If x and y are positive, is x > y^2?

(1) y > x^2
(2) y = x + 1

M17-32

_________________

GMAT Strategies: http://gmatclub.com/forum/slingfox-s-gmat-strategies-condensed-96483.html

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50060
Re: Another Inequality Question  [#permalink]

Show Tags

New post 31 Oct 2009, 22:30
If x and y are positive, is x > y^2?

(1) y>x2. If \(x=1\) and \(y=4\), then the answer is NO but if \(x=y=\frac{1}{2}\), then the answer is YES. Not sufficient.

(2) y=x+1. The question becomes: is \(x>(x+1)^2\)? Which cannot be true for ANY value of x. So, the answer to the question is NO. Sufficient.

Answer: B.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
Joined: 25 Oct 2009
Posts: 21
Schools: Wharton, HBS, Stanford
Re: Another Inequality Question  [#permalink]

Show Tags

New post 31 Oct 2009, 22:36
1
These type of quastions works try to confuse test takers with fractions in power. The best approach is Picking Numbers strategy.

Is \(x>y^2\) given that \(x\) and \(y\) are positive?

(1) \(y>x^2\)

Pick \(x=\frac{8}{10}\) and \(y=\frac{7}{10}\), \(\frac{7}{10}>\frac{64}{100}\), and \(\frac{8}{10}>\frac{49}{100}\). But if we try \(x=\frac{8}{10}\) and \(y=1\), \(x\) will be lower than \(y^2\). So, (1) alone is NOT SUFFICIENT.

(2) \(y=x+1\)
given that \(x>0\), therefore \(y>1\). There is \(y^k>y^1\) for all \(y>1\), \(k>1\). So, (2) alone is SUFFICIENT.

The answer is B.
_________________

KUDOS if you find it helpful ;)

Intern
Intern
avatar
Joined: 18 Oct 2009
Posts: 48
Schools: Kellogg
Re: Another Inequality Question  [#permalink]

Show Tags

New post 01 Nov 2009, 01:42
Thanks for the explanation guys. I totally missed the "if x and y are positive" language in the question stem :oops:
_________________

GMAT Strategies: http://gmatclub.com/forum/slingfox-s-gmat-strategies-condensed-96483.html

Intern
Intern
avatar
Joined: 28 Apr 2009
Posts: 34
Re: Another Inequality Question  [#permalink]

Show Tags

New post 07 Nov 2009, 22:47
I ignored the fraction possibility..

Nice solution..

slingfox wrote:
Thanks for the explanation guys. I totally missed the "if x and y are positive" language in the question stem :oops:
Senior Manager
Senior Manager
User avatar
Joined: 13 Aug 2012
Posts: 431
Concentration: Marketing, Finance
GPA: 3.23
GMAT ToolKit User
Re: If x and y are positive, is X > y^2?  [#permalink]

Show Tags

New post 17 Jan 2013, 03:43
1
slingfox wrote:
How would you guys approach this question:
If x and y are positive, is X > y^2?
1. y > x^2
2. y = x + 1


It is important to note that all you have to test are positive whole numbers and fractions

1.
let x=2, y=5
y > x^2 => 5 > 4 ----- x > y^2 => 2 > 25 NO!

let x=1/2, y=1/2
y > x^2 => 1/2 > 1/4 ----- x > y^2 => 1/2 > 1/4 YES!

The information given in statement 1 is insufficient.

2.
let x = 2, y = x + 1 = 3
x > y^2 ==> 2 > 9 NO!

let x = 1/2, y = 5/2
x > y^2 ==> 1/2 > 25/4 NO!

The information given in statement 2 is sufficient.

Answer: B
_________________

Impossible is nothing to God.

Senior Manager
Senior Manager
avatar
Joined: 06 Aug 2011
Posts: 341
If x and y are positive, is x>y2? (1) y>x2 (2) y=x+1  [#permalink]

Show Tags

New post 27 Feb 2014, 07:27
If x and y are positive, is x>y^2?

(1) y>x^2

(2) y=x+1
_________________

Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !

Senior Manager
Senior Manager
avatar
Joined: 06 Aug 2011
Posts: 341
Re: If x and y are positive, is x>y2? (1) y>x2 (2) y=x+1  [#permalink]

Show Tags

New post 27 Feb 2014, 07:30
i got that statement 2 is sufficient..

But, I tuk around more than 2 minutes to chek whether statement 1 is sufficient or not..

confused when i see x>y^2 or x2>y3 .. these kind of question most of the time i do it correct, bt i tuk long time to prove whether its sufficient or not
_________________

Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50060
Re: If x and y are positive, is x>y2? (1) y>x2 (2) y=x+1  [#permalink]

Show Tags

New post 27 Feb 2014, 08:23
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8539
Premium Member
Re: If x and y are positive, is x > y^2?  [#permalink]

Show Tags

New post 13 Mar 2018, 06:56
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: If x and y are positive, is x > y^2? &nbs [#permalink] 13 Mar 2018, 06:56
Display posts from previous: Sort by

If x and y are positive, is x > y^2?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.