Find all School-related info fast with the new School-Specific MBA Forum

It is currently 21 Aug 2014, 04:17

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If x is not equal to 0, is |x| less than 1? (1) x/|x| < x

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 23 May 2005
Posts: 266
Location: Sing/ HK
Followers: 1

Kudos [?]: 9 [1] , given: 0

GMAT Tests User
If x is not equal to 0, is |x| less than 1? (1) x/|x| < x [#permalink] New post 09 Dec 2006, 07:03
1
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

33% (02:56) correct 67% (01:12) wrong based on 25 sessions
If x is not equal to 0, is |x| less than 1?

(1) x/|x| < x

(2) |x| > x

Please show computations...
_________________

Impossible is nothing

Senior Manager
Senior Manager
avatar
Joined: 23 Jun 2006
Posts: 389
Followers: 1

Kudos [?]: 300 [0], given: 0

GMAT Tests User
 [#permalink] New post 09 Dec 2006, 07:07
answer is A.

x is not 0 so:
x/|x|<x => 1/|x|<1 => |x| > 1 sufficient to give negative answer to question.

st 2 is not sufficient. consider x=-2 x=-0.5 both satisfy st2 but give different answers to question.

hence A.
Senior Manager
Senior Manager
avatar
Joined: 23 Jun 2006
Posts: 389
Followers: 1

Kudos [?]: 300 [0], given: 0

GMAT Tests User
 [#permalink] New post 09 Dec 2006, 07:12
my first wrong answer here in the forum!!!

ok i missed it.

it is C.

you must deduce from st2 that x is negative.
and then do the right math to deduce the right answer...

good i gave it a second thought.

sorry about my mistake.
3 KUDOS received
SVP
SVP
User avatar
Joined: 01 May 2006
Posts: 1816
Followers: 8

Kudos [?]: 87 [3] , given: 0

GMAT Tests User
 [#permalink] New post 09 Dec 2006, 07:17
3
This post received
KUDOS
(C) for me :)

From 1:
x/|x| < x
<=> x/|x| - x < 0
<=> x*(1/|x| - 1) < 0
<=> x*(1 - |x|) < 0 as |x| is always positive and here cannot be zero

implies that:
x < 0 and 1 - |x| > 0
or
x > 0 and 1 - |x| < 0

So we have:
- 1 < x < 0
or
x > 1

INSUFF.


From 2:
|x| > x implies that x < 0 but we cannot know x < -1 or x > -1 or x = -1

INSUFF.

Both statments
From 2, x is negative. From 1, we can imply that the only remaning, negative domain is -1 < x < 0.
Hence, |x| < 1.

SUFF.
Senior Manager
Senior Manager
avatar
Joined: 20 Feb 2006
Posts: 375
Followers: 1

Kudos [?]: 1 [0], given: 0

GMAT Tests User
 [#permalink] New post 09 Dec 2006, 11:04
I picked numbers:

From 1)
a) If x =2 2/2 = 1 So 1 is less than x
b) If x = -2 -2/2 = -1 So 1 is greater than x
c) If x = 1/2 (1/2)/(1/2) = 2 So 2 is greater than 1/2
d) If x = -1/2 (-1/2)/(1/2) = -2 So -2 is less than -1/2

a and d satisfy x/lxl<x but we still cant answer stem
INSUFF

From 2)
This just tells us that x is negative
From b) and d) above, you can see that b) doesn't satisfy stem but d) does so INSUFF

Taking both together we know that x is negative and -1<x<0 so SUFF

Answer = C
Senior Manager
Senior Manager
avatar
Joined: 23 May 2005
Posts: 266
Location: Sing/ HK
Followers: 1

Kudos [?]: 9 [0], given: 0

GMAT Tests User
 [#permalink] New post 09 Dec 2006, 20:39
Fig, you are the absolute value guru!!! Thanks!!! :-D
_________________

Impossible is nothing

Manager
Manager
avatar
Joined: 09 Nov 2006
Posts: 129
Followers: 1

Kudos [?]: 1 [0], given: 0

 [#permalink] New post 21 May 2007, 07:44
The question asks whether -1<X<1>1 and (2) gives us that X is negative, how can we conclude that both statements together are sufficient?

I think it is E?
  [#permalink] 21 May 2007, 07:44
    Similar topics Author Replies Last post
Similar
Topics:
4 Experts publish their posts in the topic If x is not equal to 0, is |x| less than 1? (1) x/|x| < x gmatforce 6 02 Nov 2009, 04:16
If x is not equal to 0, is |x| less than 1? (1) x/|x| < x dancinggeometry 1 22 Sep 2008, 00:47
If x is not equal to 0, is |x| less than 1? (1) x/|x| lanter1 2 23 Jul 2007, 10:00
If x is not equal to 0, is |x| less than 1? (1) x/|x| hsk 1 09 Jun 2007, 19:21
If x is not equal to 0, is |x| less than 1? (1) x/|x| < x cool_jonny009 5 05 Feb 2006, 21:00
Display posts from previous: Sort by

If x is not equal to 0, is |x| less than 1? (1) x/|x| < x

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.