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

It is currently 13 Dec 2018, 08:39

R1 Admission Decisions:

Stanford Chat (Calls Started)  |  Wharton Chat  (Calls Expected Soon)  |  Fuqua Chat (Calls Expected Soon)


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
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • The winning strategy for 700+ on the GMAT

     December 13, 2018

     December 13, 2018

     08:00 AM PST

     09:00 AM PST

    What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
  • GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

     December 14, 2018

     December 14, 2018

     09:00 AM PST

     10:00 AM PST

    10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.

Is |x|/x > |y|/y?

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7106
Is |x|/x > |y|/y?  [#permalink]

Show Tags

New post 19 May 2016, 21:35
10
13
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

28% (01:40) correct 72% (01:24) wrong based on 214 sessions

HideShow timer Statistics

Is \(\frac{|x|}{x} > \frac{|y|}{y}\), if \(xy\neq{0}\) ?

(1) \(x<0\)
(2) \(y<0\)


Self Made
slightly tricky

_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7106
Re: Is |x|/x > |y|/y?  [#permalink]

Show Tags

New post 22 May 2016, 02:39
1
chetan2u wrote:
Is \(\frac{|x|}{x} > \frac{|y|}{y}\), if \(xy\neq{0}\) ?

(1) \(x<0\)
(2) \(y<0\)


Self Made
slightly tricky



OE-



Lets analyze the equation first.
\(\frac{|x|}{x} > \frac{|y|}{y}\)

what is the value \(\frac{|x|}{x}...and... \frac{|y|}{y}\) can take?
Irrespective of NUMERIC value of x and y...\(\frac{|x|}{x}...and... \frac{|y|}{y}\) will be either 1 or -1...

so two cases..

A) Both x and y are of SAME sign : either + or -...
\(\frac{|x|}{x}\)=\(\frac{|y|}{y}\)....

B) Both x and y are of Different sign :-
If x is + and y is -ive, \(\frac{|x|}{x} > \frac{|y|}{y}\)
If y is + and x is -ive, \(\frac{|x|}{x} < \frac{|y|}{y}\)

so Our ans will be YES, if x is + and y is -ive, Otherwise NO..

lets check the statements-
(1) \(x<0\)
since x<0, our answer for IS \(\frac{|x|}{x} > \frac{|y|}{y}\) will always be NO..
at the MAX, two sides can be EQUAL
Suff

(2) \(y<0\)..
Two case.
if x<0, ans is NO..
If x>0 ans is YES..
Insuff

ans A
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Most Helpful Community Reply
SC Moderator
User avatar
D
Joined: 13 Apr 2015
Posts: 1687
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
GMAT ToolKit User Premium Member
Re: Is |x|/x > |y|/y?  [#permalink]

Show Tags

New post 20 May 2016, 02:36
5
1
Question: Is |x|/x > |y|/y

Value of |x|/x can be -1 or 1
Similarly, value of |y|/y can be -1 or 1

St1: x < 0 --> x is negative
|x|/x = +ve/-ve = -1
|y|/y can be +1 or -1
Is -1 > 1 ? No
Is -1 > -1 ? No
We get a definite no answer. Sufficient.

St2: y < 0 --> y is negative
|y|/y = +ve/-ve = -1
|x|/x can be -1 or +1
If |x|/x = 1, Is 1 > -1 ? Yes
If |x|/x = -1, Is -1 > -1 ? No
We get two different answers. Not Sufficient.

Answer: A
General Discussion
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51185
Re: Is |x|/x > |y|/y?  [#permalink]

Show Tags

New post 20 May 2016, 02:42
1
Current Student
avatar
B
Status: Persevere
Joined: 08 Jan 2016
Posts: 119
Location: Hong Kong
GMAT 1: 750 Q50 V41
GPA: 3.52
Reviews Badge
Re: Is |x|/x > |y|/y?  [#permalink]

Show Tags

New post 20 May 2016, 03:20
1
chetan2u wrote:
Is \(\frac{|x|}{x} > \frac{|y|}{y}\)?

(1) \(x<0\)
(2) \(y<0\)


Self Made
slightly tricky
OA in two days


Is \(\frac{|x|}{x} > \frac{|y|}{y}\)?
Both left hand side and right hand side can have only two values 1 or -1. For a definitive 'yes' answer we need left hand side to be 1 and right hand side to be -1. In other words, we need \(x>0\) and \(y<0\). If \(x<0\) or if \(y>0\) then left hand side can never be greater than the right side. It can at best be equal to right hand side. Hence, if we know any of these then we will have a definitive 'no' answer.

Statement 1:
\(x<0\)
As mentioned above, this can at best be equal to right hand side (if \(y>0\)) but can never be greater. Hence, we have a definitive no answer.
This statement is sufficient and we can eliminate option B, C and E.

Statement 2:
\(y<0\).
We have not been given any information about \(x\). \(x\) can be both negative and positive.
As mentioned above, if \(x>0\) and \(y<0\) then we get a yes answer to the question.
However, if \(x<0\) and \(y<0\), then we get a no answer, (as both side will be equal to - 1)
Hence, this statement is insufficient. We can eliminate option D.

The correct answer is A.

chetan2u: Very nice question sir. Would it be better to mention \(xy\neq{0}\) in the question prompt. Probably I am wrong. I am new to this :)
Current Student
User avatar
Joined: 18 Oct 2014
Posts: 846
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT ToolKit User
Re: Is |x|/x > |y|/y?  [#permalink]

Show Tags

New post 20 May 2016, 10:03
chetan2u wrote:
Is \(\frac{|x|}{x} > \frac{|y|}{y}\), if \(xy\neq{0}\) ?

(1) \(x<0\)
(2) \(y<0\)


Self Made
slightly tricky
OA in two days


Information given= xy is not equal to 0

question asked:- \(\frac{|x|}{x} > \frac{|y|}{y}\)

(1) \(x<0\)

That means X is -ve
\(\frac{|x|}{x} is -1(+ve/-ve = -ve)
\frac{|y|}{y}\) can either be 1 ot -1

\(\frac{|x|}{x} > \frac{|y|}{y}\) will never be possible in both the cases.


(2) \(y<0\)

Y is -ve

\(\frac{|x|}{x} > \frac{|y|}{y}\) can be possible when X is +ve but not possible when x is -ve.

A is the answer
_________________

I welcome critical analysis of my post!! That will help me reach 700+

Senior Manager
Senior Manager
avatar
G
Joined: 02 Apr 2014
Posts: 473
GMAT 1: 700 Q50 V34
Is |x|/x > |y|/y?  [#permalink]

Show Tags

New post 26 Dec 2017, 12:55
\(|x|/x > |y|/y\) ?

will be possible only if x is +ve and y is -ve

so question is x > 0 AND y < 0 ?

Statement 1: x < 0 => sufficient to answer the question, is x > 0 AND y < 0 ? as NO
Statement 2: y < 0 => insufficient to tell about sign of x

Answer (A)

Good question chetan2u
GMAT Club Bot
Is |x|/x > |y|/y? &nbs [#permalink] 26 Dec 2017, 12:55
Display posts from previous: Sort by

Is |x|/x > |y|/y?

  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®.