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

It is currently 21 Sep 2018, 14:43

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 ?

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

Hide Tags

Board of Directors
User avatar
P
Joined: 01 Sep 2010
Posts: 3416
Is x > y ?  [#permalink]

Show Tags

New post 26 Jul 2017, 08:53
1
Top Contributor
9
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

68% (01:19) correct 32% (01:23) wrong based on 314 sessions

HideShow timer Statistics

Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49300
Re: Is x > y ?  [#permalink]

Show Tags

New post 26 Jul 2017, 09:07
4
1
Is x > y ?

(1) x + y > x − y

y > -y

2y > 0

y > 0. Since no information is given on x, then this statement is not sufficient.

(2) 3x > 2y.

If x = y = 1, then the answer would be NO but if x = 2 and y = 1, then the answer would be YES. Not sufficient.

(1)+(2) The examples we used for (2) are still valid, so even combined the statements are not sufficient.

Answer: E.

P.S. To elaborate: from (1) y > 0, so from (2) we can get that x/y > 2/3 but the question asks whether x/y > 1. So, still insufficient.
_________________

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

General Discussion
Intern
Intern
User avatar
B
Status: Researching
Affiliations: NA
Joined: 03 Oct 2014
Posts: 28
Location: United States (CA)
Concentration: Nonprofit, General Management
GMAT 1: 460 Q14 V36
GMAT 2: 540 Q31 V34
GMAT 3: 610 Q36 V38
GMAT 4: 570 Q29 V40
GPA: 3.11
WE: Account Management (Non-Profit and Government)
Re: Is x > y ?  [#permalink]

Show Tags

New post 26 Jul 2017, 21:14
I messed up on how i interpreted statement two, the fact that x=y=1 would create the right condition for statement 2 to be correct, also means that when answering the prompt, x>y, we get the answer NO; trying another set of numbers- x=2 and y=1- where statement two meets the condition, 2>1/3, means that the answer to the question x>y is YES.

Bunuel explains this but I didn't quite understand the process because I wasn't registering the prompt and statement criteria clearly.
_________________

Aut viam inveniam aut faciam.

Manager
Manager
avatar
S
Joined: 10 Apr 2018
Posts: 103
CAT Tests
Re: Is x > y ?  [#permalink]

Show Tags

New post 15 Sep 2018, 14:39
pingala wrote:
I messed up on how i interpreted statement two, the fact that x=y=1 would create the right condition for statement 2 to be correct, also means that when answering the prompt, x>y, we get the answer NO; trying another set of numbers- x=2 and y=1- where statement two meets the condition, 2>1/3, means that the answer to the question x>y is YES.

Bunuel explains this but I didn't quite understand the process because I wasn't registering the prompt and statement criteria clearly.


Hipingala,

here is how i would approach this question

we are asked that IS x>y
so is x-y>0
what could be the possible senarios
x>0, y>0 and |x|>|y|
x<0, y<0 and |y|>|x|
x>0, y<0
x<0, y>0 and |y|>|x|

in above all scenarios we would get the answer to our question.
Now statement A:
It says y>0. It could be x>0 or x<0, but still we don't about |x| and |y|
So insufficient.

Now Statement B:
3x>2y
or we can have
\(x>\frac{2}{3} y\)
if we read along it says x is greater than two-thirds of y.
We will have two senarios
y>0 even then we can't conclude that x> y. why say y>1 then x can be \(>\frac{2}{3}\) . So its possible that the range of of x is \(\frac{2}{3}<x<\infty\) and range of y would be \(1<y< \infty\) . Now if you imagine a number line with these two ranges then you can either conclude that x<y or x>y

Now if y<0 even then we can't conclude that x> y. Then x can be \(>-\frac{2}{3}\) . So its possible that the range of of x is \(-\frac{2}{3}<x<\infty\) and range of y would be \(-\infty<y<0\). Now if you imagine a number line with these two ranges then you can either conclude that x<y or x>y

Now even if we combine both the statements still we don't have any new information to conclusively answer if x>y

hence option E
let me know if this helps
Probus
Intern
Intern
avatar
B
Joined: 20 Jun 2017
Posts: 13
Re: Is x > y ?  [#permalink]

Show Tags

New post 16 Sep 2018, 04:13
1
St1 :- x + y > x - y = 2y > 0 ( here we can only conclude that Y is positive. As no information is given about X, St1 is not sufficient )

St2 :- 3x > 2y = 1.5x > y
The above statement can be hold true in following case :-
X = 2, and Y = 2,
X =3, and Y = 2, or
X = 1, and Y = 2

As there's multiple value of x, this statement is also sufficient

Combining St1, and St2
by adding both Statement, we get 3x>0 (here we can only conclude that X, and Y are positive. But can't conclude that Whether X is greater than Y)

Hence, Answer E
Re: Is x > y ? &nbs [#permalink] 16 Sep 2018, 04:13
Display posts from previous: Sort by

Is x > y ?

  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®.