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

 It is currently 22 Oct 2019, 01:45 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

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.  Is x > y ?

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

Hide Tags

Board of Directors D
Joined: 01 Sep 2010
Posts: 3405
Is x > y ?  [#permalink]

Show Tags

2
Top Contributor
22 00:00

Difficulty:   45% (medium)

Question Stats: 66% (01:41) correct 34% (01:45) wrong based on 654 sessions

HideShow timer Statistics

Is x > y ?

(1) x + y > x − y

(2) 3x > 2y

(DS04468)

_________________
Math Expert V
Joined: 02 Sep 2009
Posts: 58410
Re: Is x > y ?  [#permalink]

Show Tags

4
2
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.

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.
_________________
General Discussion
Intern  B
Status: Researching
Affiliations: NA
Joined: 03 Oct 2014
Posts: 26
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

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.
Senior Manager  P
Joined: 10 Apr 2018
Posts: 267
Location: United States (NC)
Re: Is x > y ?  [#permalink]

Show Tags

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
_________________
Probus

~You Just Can't beat the person who never gives up~ Babe Ruth
Intern  S
Joined: 20 Jun 2017
Posts: 14
Re: Is x > y ?  [#permalink]

Show Tags

4
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)

Director  G
Joined: 19 Oct 2013
Posts: 516
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: Is x > y ?  [#permalink]

Show Tags

carcass wrote:
Is x > y ?

(1) x + y > x − y

(2) 3x > 2y

(DS04468)

This can be rearranged in different ways x > y or x - y > 0 or x/y > 1 (if y is positive)

statement 1) x + y > x - y can be rearranged to 2y > 0 then y > 0, insufficient we have no information on x

Eliminate A/D

Statement 2) 3x > 2y

if x = 1 and y = 1 then 3 > 2 then back to the stem 1 > 1 is not true.

if x = 3 and y = 1, then 9 > 2 then back to the stem 3 > 1 is true

Insufficient

Now try combined

given that y > 0

then we can divide by y, $$\frac{x}{y} > \frac{2}{3}$$ we don't know for sure whether it is larger than 1? it could be anything larger than 2/3

So insufficient.

Intern  B
Joined: 16 Jul 2019
Posts: 10
Re: Is x > y ?  [#permalink]

Show Tags

VeritasKarishma can you please explain this question?

Posted from my mobile device
Veritas Prep GMAT Instructor V
Joined: 16 Oct 2010
Posts: 9701
Location: Pune, India
Re: Is x > y ?  [#permalink]

Show Tags

carcass wrote:
Is x > y ?

(1) x + y > x − y

(2) 3x > 2y

(DS04468)

Ques: Is x > y?

(1) x + y > x − y

This inequality is independent of x. It gives us y > -y (when we subtract x from both sides). This means y is positive.
But we don't know whether x is greater than y.

(2) 3x > 2y
We know that 3 times of x is greater than 2 times of y. This will be true when x is less than y, equal to y or greater than y.
x = 3, y = 4
x = 3, y = 3
x = 3, y = 2

Using both statements, y is positive so dividing both sides of second inequality by 3y we get
x/y > 2/3

Now, x/y could be 3/4 in which case x < y or x/y could be 1 in which case both are equal or x/y could be 4/3 in which case x > y.

_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options > Re: Is x > y ?   [#permalink] 18 Sep 2019, 05:20
Display posts from previous: Sort by

Is x > y ?

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

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