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

It is currently 17 Aug 2018, 13:54

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

Is x > y? (1) |x| >|y| (2) 1/4 x + 1/3 y > 0

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

Hide Tags

Manager
Manager
avatar
S
Joined: 28 Jun 2018
Posts: 88
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Is x > y? (1) |x| >|y| (2) 1/4 x + 1/3 y > 0  [#permalink]

Show Tags

New post 29 Jul 2018, 08:27
10
1
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

32% (01:45) correct 68% (01:17) wrong based on 85 sessions

HideShow timer Statistics

Is x > y?


(1) |x| >|y|

(2) \(\frac{1}{4} x - \frac{1}{3} y >0\)

_________________

if you getting bore , try this :
https://gmatclub.com/forum/if-n-0-is-4-n-1-divisible-by-5-1-n-is-the-integral-root-of-272101.html

GMAC official guides : https://gmatclub.com/forum/gmac-official-guides-the-master-directory-links-240610.html#p1854935

Give me kudos if you like it , it's totally harmless :)

Manager
Manager
User avatar
B
Status: Studying Quant
Joined: 04 Sep 2017
Posts: 65
GPA: 3.6
WE: Sales (Computer Software)
Re: Is x > y? (1) |x| >|y| (2) 1/4 x + 1/3 y > 0  [#permalink]

Show Tags

New post Updated on: 29 Jul 2018, 09:35
2
kshitizbansal92 wrote:
is x > y?
1) |x| >|y|
2) \(\frac{1}{4}\) x - \(\frac{1}{3}\) y >0


Great question. Here's how I solved it.

is x > y?

Statement 1: |x| >|y| - Not Sufficient. Make x=2 and y=1, yes. Make x=-2 and y=-1, no.

Both of these options work for statement 1, but give different answers to the original question. So this statement has a "yes, no" answer. Therefore Not Sufficient.

Statement 2: \(\frac{1}{4}\)x - \(\frac{1}{3}\)y >0 - To make this one a little bit easier on the eyes, I multiplied both sides by the LCM just to eliminate fractions. That gave me 3x - 4y > 0.

Make x=2 and y=1 ----> 3(2) - 4(1) --> 6-4=2 --> 2>0. YES

Make x=-2 and y=-3 --> 3(-2) - 4(-3) --> -6+12=6 --> 6>0. NO

Both of these options for statement 2, but give different results for the original question. Therefore not sufficient.

Statement 1 and 2: 3x - 4y > 0 and |x| >|y|

x=2 and y=1. Works for both statements and answers the original question as YES.

x=-10 and y=-9. Works for both statements, answers the original question as NO.

Not Sufficient.

Answer E
_________________

Would I rather be feared or loved? Easy. Both. I want people to be afraid of how much they love me.


Originally posted by MikeScarn on 29 Jul 2018, 09:21.
Last edited by MikeScarn on 29 Jul 2018, 09:35, edited 4 times in total.
Senior Manager
Senior Manager
User avatar
P
Joined: 22 Feb 2018
Posts: 254
Re: Is x > y? (1) |x| >|y| (2) 1/4 x + 1/3 y > 0  [#permalink]

Show Tags

New post 29 Jul 2018, 09:36
1
kshitizbansal92 wrote:
is x > y?
1) |x| >|y|
2) \(\frac{1}{4}\) x - \(\frac{1}{3}\) y >0


OA:E

Question stem : Is x>y

1) |x| >|y|
plugging the number (1,0) satisfies the condition |x|>|y|.
Is \(x>y?: yes\) as 1>0

plugging the number (-7,-6) satisfies the condition |x|>|y|.
Is \(x>y?: No\) as -7<-6

Statement 1 alone is not sufficient

2)\(\frac{1}{4}\) x - \(\frac{1}{3} y >0\)
plugging the number (1,0) satisfies the condition \(\frac{1}{4}\) x - \(\frac{1}{3} y >0\) as \(\frac{1}{4}>0\).
Is \(x>y?: yes\) as 1>0

plugging the number (-7,-6) satisfies the condition \(\frac{1}{4}\) x - \(\frac{1}{3} y >0\) as \(\frac{-7}{4}+\frac{6}{2}>0\).
Is \(x>y?: No\) as -7<-6
Statement 2 alone is not sufficient

Combining statement 1 and statement 2 will also be insufficient, as we have plugged the same values for yes answer and the same value for no answer in both statement 1 and 2.
_________________

Good, good Let the kudos flow through you

Senior Manager
Senior Manager
User avatar
G
Joined: 31 May 2017
Posts: 306
GMAT ToolKit User CAT Tests
Re: Is x > y? (1) |x| >|y| (2) 1/4 x + 1/3 y > 0  [#permalink]

Show Tags

New post 29 Jul 2018, 09:55
is x > y?
1) |x| >|y|
2) 1/4 x - 1/3 y >0

1) |x| > |y| - This will work for positive values. But if the x and y are negative , the answer is No. Since there are two different answers this is Insufficient.

2) 1/4x - 1/3y > 0

If you take LCM , then it would 3x-4y > 0

If you substitute the numbers for x and y , you can see this option is Insufficient when x and y have negative values.

Together (1) and (2)
When you substitute negative values (-10, -9) you get No and for positive values (1,2) , you get Yes as an answer.

Ans: E
_________________

Please give kudos if it helps

Resources
Ultimate GMAT Quantitative Megathread | ALL YOU NEED FOR QUANT ! ! ! | SC Blogs by Magoosh | How to improve your verbal score | Things i wish i could've done earlier | Ultimate Q51 Guide

Re: Is x > y? (1) |x| >|y| (2) 1/4 x + 1/3 y > 0 &nbs [#permalink] 29 Jul 2018, 09:55
Display posts from previous: Sort by

Is x > y? (1) |x| >|y| (2) 1/4 x + 1/3 y > 0

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

Events & Promotions

PREV
NEXT


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®.