NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 21:06 It is currently 24 Apr 2024, 21:06
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If xy < 5, is x < 1 ?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
enigma123
Senior Manager
Senior Manager
Joined: 25 Jun 2011
Status:Finally Done. Admitted in Kellogg for 2015 intake
Posts: 396
Own Kudos [?]: 16650 [7]
Given Kudos: 217
Location: United Kingdom
Concentration: International Business, Strategy
GMAT 1: 730 Q49 V45
GPA: 2.9
WE:Information Technology (Consulting)
Send PM
If xy < 5, is x < 1 ? [#permalink] New post   Updated on: 04 Dec 2012, 02:49
7
Bookmarks
00:00
A
B
C
D
E

Difficulty:

65% (hard)

Question Stats:

58% (02:19) correct 42% (02:07) wrong based on 297 sessions
Hide Show timer Statistics
If xy < 5, is x < 1 ?

(1) |y| > 5
(2) x/y > 0

Show Spoiler
I got the answer is C which is correct but it was a guess work. So here is how I did this question:

Statement 1

|y| > 5 i.e. y > 5 and y > -5 or y > 5 and y < -5.

As this statement doesn't say anything about x, its clearly insufficient.

Statement 2

x/y> 0 --> This statement only tells that x and y have the same sign. Therefore insufficient.

After this I struggled to complete the question, and guessed answer C as correct answer. Can someone please help?
ShowHide Answer
Official Answer
C

Originally posted by enigma123 on 07 Mar 2012, 15:11.
Last edited by Bunuel on 04 Dec 2012, 02:49, edited 1 time in total.
Renamed the topic and edited the question.
Most Helpful Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618840 [8]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
Re: Is x < 1? [#permalink] New post   07 Mar 2012, 15:24
2
Kudos
6
Bookmarks
Expert Reply
enigma123 wrote:
If xy < 5, is x < 1 ?

(1) \(|y| > 5\)
(2) \(\frac{x}{y}> 0\)

I got the answer is C which is correct but it was a guess work. So here is how I did this question:

Statement 1

|y| > 5 i.e. y > 5 and y > -5 or y > 5 and y < -5.

As this statement doesn't say anything about x, its clearly insufficient.

Statement 2

x/y> 0 --> This statement only tells that x and y have the same sign. Therefore insufficient.

After this I struggled to complete the question, and guessed answer C as correct answer. Can someone please help?


|y| > 5 means that y<-5 or y>5.

If xy < 5, is x < 1 ?

(1) \(|y| > 5\) --> if \(y=10\) and \(x=0\) then the answer is YES but if \(y=-10\) and \(x=2\) then the answer is NO. Not sufficient.

(2) \(\frac{x}{y}>0\) --> \(x\) and \(y\) have the same sign. Still insufficient: if \(y=-2\) and \(x=-1\) then the answer is YES but if \(y=2\) and \(x=2\) then the answer is NO. Not sufficient.

(1)+(2) From (2) \(x\) and \(y\) have the same sign. Now, if from (1) \(y>5\) then \(0<x<1\) (in order \(xy<5\) to hold true) and if from (1) \(y<-5\) then \(-1<x<0\) (again in order \(xy<5\) to hold true). So in both cases \(x<1\). Sufficient.

Answer: C.
General Discussion
User avatar
D
stonecold
Alum
Joined: 12 Aug 2015
Posts: 2282
Own Kudos [?]: 3127 [1]
Given Kudos: 893
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Send PM
GMAT ToolKit User
Re: If xy < 5, is x < 1 ? [#permalink] New post   13 Mar 2016, 08:45
1
Kudos
Here Clearly statements 1 and two are not alone sufficient as x>1 and X<1
but combining them => x<1 as they should be of same sign and |y|>5 => if y is negative x is sufficient
if y is positive => x<<1 as Y>5
hence C
avatar
B
rbramkumar
Intern
Intern
Joined: 24 Feb 2017
Posts: 29
Own Kudos [?]: 210 [0]
Given Kudos: 38
Schools: CBS '20 (S)
GMAT 1: 760 Q50 V42
Send PM
Re: If xy < 5, is x < 1 ? [#permalink] New post   01 Jul 2017, 10:54
Bunuel wrote:
enigma123 wrote:
If xy < 5, is x < 1 ?

(1) \(|y| > 5\)
(2) \(\frac{x}{y}> 0\)

I got the answer is C which is correct but it was a guess work. So here is how I did this question:

Statement 1

|y| > 5 i.e. y > 5 and y > -5 or y > 5 and y < -5.

As this statement doesn't say anything about x, its clearly insufficient.

Statement 2

x/y> 0 --> This statement only tells that x and y have the same sign. Therefore insufficient.

After this I struggled to complete the question, and guessed answer C as correct answer. Can someone please help?


|y| > 5 means that y<-5 or y>5.

If xy < 5, is x < 1 ?

(1) \(|y| > 5\) --> if \(y=10\) and \(x=0\) then the answer is YES but if \(y=-10\) and \(x=2\) then the answer is NO. Not sufficient.

(2) \(\frac{x}{y}>0\) --> \(x\) and \(y\) have the same sign. Still insufficient: if \(y=-2\) and \(x=-1\) then the answer is YES but if \(y=2\) and \(x=2\) then the answer is NO. Not sufficient.

(1)+(2) From (2) \(x\) and \(y\) have the same sign. Now, if from (1) \(y>5\) then \(0<x<1\) (in order \(xy<5\) to hold true) and if from (1) \(y<-5\) then \(-1<x<0\) (again in order \(xy<5\) to hold true). So in both cases \(x<1\). Sufficient.

Answer: C.


May not be the easiest solution, but I find it interesting that these inequalities can be rigorously solved using graphical visualisation.

Given : xy<5 is the area between the hyperbola.

1) |y| > 5: When y>5, x can only be less than 1. When y<-5, x can only be greater than -1. Thus not sufficient.
2) Same sign, so not sufficient.

Combining.
When y>5, x can only be less 1 BUT greater than 0. So x<1? YES
When y<-5, x can only be greater than -1 BUT less than 0. So, x<1? YES

E
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11170
Own Kudos [?]: 31894 [0]
Given Kudos: 290
Send PM
Reviews Badge
Re: If xy < 5, is x < 1 ? [#permalink] New post   07 Aug 2018, 00:01
Expert Reply
1) |y|>5
So y>5, then x<1 OR
y<-5, then x can be any value as say 10 so xy=10*-5=-50<5
Insufficient

2) x/y>0
Both X and y are of same sign
X could be 10 and y =1/3..
Or X could be -5 and y -1/2..
Insufficient

Combined
Y>5, and X>0, then x<1..
y<-5 and X<0, so X<1
Sufficient

C
User avatar
G
Basshead
Director
Director
Joined: 09 Jan 2020
Posts: 966
Own Kudos [?]: 223 [0]
Given Kudos: 434
Location: United States
Send PM
Re: If xy < 5, is x < 1 ? [#permalink] New post   31 Oct 2020, 07:54
If \(xy < 5\), is \(x < 1 \)?

(1) \(|y| > 5\)
\(y < -5\) or \(y > 5\)

x could be less than or greater than 1. INSUFFICENT.

(2) \(x/y\) > 0

x and y have the same signs. Again, x could be less than or greater than 1. INSUFFICIENT.

(1&2) We know y < -5 or y >5
x must have the same sign as y.

Given xy <5, there are two scenarios:

if y > 5, x must be 0 < x < 1.
if y < -5, x must be < 1.

Sufficient.

Answer is C.
User avatar
G
CEdward
VP
VP
Joined: 11 Aug 2020
Posts: 1262
Own Kudos [?]: 201 [0]
Given Kudos: 332
Send PM
Re: If xy < 5, is x < 1 ? [#permalink] New post   02 Feb 2021, 15:06
xy < 5, x < 1?

x and y can either share the same sign or opposite signs

a) |y| > 5
Implies y > 5 or y < -5
y = 6, x = -ive
y = -6, x = +ve
Insufficient.

b) x/y > 0
implies x and y have the same sign
x = 2, y = 2 NO
x = 1/2, y = 1/2 YES
Insufficient.

Combo pack:
y = 6, x = 1/2 YES
y = -6, x = -1/2 YES
X can never be greater than 1.
Sufficient.
GMAT Club Bot
gmatclubot
Re: If xy < 5, is x < 1 ? [#permalink]
02 Feb 2021, 15:06
Moderator:
Bunuel
Math Expert
92900 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions