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

It is currently 16 Apr 2014, 08:35

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

Given X/|X| < X. Which of the following must be true

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
Joined: 06 Jul 2004
Posts: 474
Location: united states
Followers: 1

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

GMAT Tests User
Given X/|X| < X. Which of the following must be true [#permalink] New post 06 Aug 2006, 13:35
Given

X/|X| < X. Which of the following must be true about X?

A) X > 1

B) X > -1

C) |X| < 1

D) |X| = 1

E) |X|^2 > 1
_________________

for every person who doesn't try because he is
afraid of loosing , there is another person who
keeps making mistakes and succeeds..

SVP
SVP
User avatar
Joined: 05 Jul 2006
Posts: 1543
Followers: 4

Kudos [?]: 51 [0], given: 39

 [#permalink] New post 06 Aug 2006, 14:32
I will go for /x/<1
Senior Manager
Senior Manager
Joined: 06 Jul 2004
Posts: 474
Location: united states
Followers: 1

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

GMAT Tests User
 [#permalink] New post 06 Aug 2006, 14:40
"I will go for /x/<1"


and why would you do that?
_________________

for every person who doesn't try because he is
afraid of loosing , there is another person who
keeps making mistakes and succeeds..

Senior Manager
Senior Manager
Joined: 14 Jul 2005
Posts: 405
Followers: 1

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

GMAT Tests User
 [#permalink] New post 06 Aug 2006, 15:34
X/|X| < X

divide by X on both sides 1/|x| < 1
multiply with |x| on both sides

1<|x| i.e. |x|>1

Hence will go with E
Director
Director
User avatar
Joined: 07 Jun 2004
Posts: 626
Location: PA
Followers: 2

Kudos [?]: 105 [0], given: 22

GMAT Tests User
 [#permalink] New post 06 Aug 2006, 15:42
I will go with A

take examples X > 1 then any value > x 1.1 or 1 milllion will be both positive and the answer will be 1 so 1 < any value > x
Manager
Manager
Joined: 22 Jul 2006
Posts: 50
Followers: 0

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

 [#permalink] New post 06 Aug 2006, 16:09
I will go for E

X/|X| < X implies

X/X < X or X/(-X) > X
so, x > 1 or x <-1. The only option which satisfies this condition is 'E'
Manager
Manager
Joined: 07 Aug 2005
Posts: 127
Followers: 1

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

Re: X/|X| [#permalink] New post 06 Aug 2006, 20:25
shoonya wrote:
Given

X/|X| < X. Which of the following must be true about X?

A) X > 1

B) X > -1

C) |X| < 1

D) |X| = 1

E) |X|^2 > 1


rewrite as x < x * |x|
or x < x*n - where n is any +ve number(integer or fraction)
only possible solution is when n > 1

A for me.
VP
VP
User avatar
Joined: 29 Dec 2005
Posts: 1352
Followers: 6

Kudos [?]: 25 [0], given: 0

GMAT Tests User
Re: X/|X| [#permalink] New post 06 Aug 2006, 21:15
shoonya wrote:
X/|X| < X. Which of the following must be true about X?

A) X > 1
B) X > -1
C) |X| < 1
D) |X| = 1
E) |X|^2 > 1


straight A. no matter the value of x, x > x/lxl. since x>1 and x/lxl is always 1. so its pretty clear that x>x/lxl.
Senior Manager
Senior Manager
Joined: 22 May 2006
Posts: 379
Location: Rancho Palos Verdes
Followers: 1

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

GMAT Tests User
 [#permalink] New post 06 Aug 2006, 22:30
X/|X| < X (X!=0 )
1. if X > 0 then 1 < X (X/X < X => 1<X)
2. if X < 0 then -1 < X <0 (X/-X < X => -1 < X)
Combine 1 and 2
-1<X<0 and X>1

Thus A.
_________________

The only thing that matters is what you believe.

Senior Manager
Senior Manager
Joined: 19 Jul 2006
Posts: 363
Followers: 1

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

GMAT Tests User
 [#permalink] New post 06 Aug 2006, 22:37
A

Agree with proff. explanation
SVP
SVP
Joined: 30 Mar 2006
Posts: 1741
Followers: 1

Kudos [?]: 18 [0], given: 0

GMAT Tests User
 [#permalink] New post 07 Aug 2006, 03:52
Clear winner A.

A satisfies the condition perfectly
Senior Manager
Senior Manager
Joined: 14 Jul 2005
Posts: 405
Followers: 1

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

GMAT Tests User
 [#permalink] New post 07 Aug 2006, 07:24
Can any of you explain if what I did was actually wrong ?

i.e.

X/|X| < X

divide by X on both sides 1/|x| < 1
multiply with |x| on both sides

1<|x| i.e. |x|>1

Hence will go with E
Senior Manager
Senior Manager
Joined: 21 Jun 2006
Posts: 289
Followers: 1

Kudos [?]: 5 [0], given: 0

GMAT Tests User
 [#permalink] New post 07 Aug 2006, 13:18
A is the only one which works
Take X = 3
3/|3|=1<3

Take x=-3
-3||-3|=-1>X

Take X =1
Then LHS = RHS

X>1 is the only one that works
Manager
Manager
Joined: 20 Mar 2006
Posts: 201
Followers: 1

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

GMAT Tests User
Re: X/|X| [#permalink] New post 07 Aug 2006, 17:17
shoonya wrote:
Given

X/|X| < X. Which of the following must be true about X?

A) X > 1

B) X > -1

C) |X| < 1

D) |X| = 1

E) |X|^2 > 1


x< x|x|
when x> 0 |x| = x which implies x< x^2 or x(x-1) > 0 i.e x>1
when x<0 |x| = -x which implies x<-x^2 or x(x+1) < 0 i.e -1<x<0

Hence A

Heman
Manager
Manager
Joined: 07 Aug 2005
Posts: 127
Followers: 1

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

 [#permalink] New post 08 Aug 2006, 07:00
gmatornot wrote:
Can any of you explain if what I did was actually wrong ?

i.e.

X/|X| < X

divide by X on both sides 1/|x| < 1
multiply with |x| on both sides

1<|x| i.e. |x|>1

Hence will go with E


You can not divide by x, because you don't know the sign of x. If x is -ve you would need to flip the ineqality sign.
VP
VP
User avatar
Joined: 29 Dec 2005
Posts: 1352
Followers: 6

Kudos [?]: 25 [0], given: 0

GMAT Tests User
 [#permalink] New post 08 Aug 2006, 07:54
Path wrote:
gmatornot wrote:
Can any of you explain if what I did was actually wrong ?

i.e.

X/|X| < X

divide by X on both sides 1/|x| < 1
multiply with |x| on both sides

1<|x| i.e. |x|>1

Hence will go with E


You can not divide by x, because you don't know the sign of x. If x is -ve you would need to flip the ineqality sign.


agree that you cannot divide both sides by x. ok, lets suppose you are when x is +ve, but if x is a fraction x/lxl>x.
Manager
Manager
Joined: 08 Aug 2006
Posts: 82
Location: Michigan
Followers: 1

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

 [#permalink] New post 08 Aug 2006, 08:08
I'll try the old plug numbers routine

2/l2l<2
and so on so my answer is A
Current Student
Joined: 28 Dec 2004
Posts: 3411
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 148 [0], given: 2

GMAT Tests User
 [#permalink] New post 08 Aug 2006, 11:40
actually freethinking has the best explanation...and this how u shud approach || questions...



freetheking wrote:
X/|X| < X (X!=0 )
1. if X > 0 then 1 < X (X/X < X => 1<X)
2. if X < 0 then -1 < X <0 (X/-X < X => -1 < X)
Combine 1 and 2
-1<X<0 and X>1

Thus A.
  [#permalink] 08 Aug 2006, 11:40
    Similar topics Author Replies Last post
Similar
Topics:
Popular new posts 12 Experts publish their posts in the topic x/|x|<x. which of the following must be true about x ? christoph 46 06 Feb 2005, 08:16
New posts X/|X| < X. Which of hte following must be true about X? zenzigler 7 09 Apr 2007, 03:03
Popular new posts 2 Experts publish their posts in the topic If x/|x| < x, which of the following must be true about tkarthi4u 24 06 Sep 2009, 21:14
New posts 1 Experts publish their posts in the topic If x/|x|, which of the following must be true for all praveenvino 2 15 Jan 2011, 11:44
New posts Experts publish their posts in the topic If |x|=−x, which of the following must be true? Mountain14 2 22 Mar 2014, 01:31
Display posts from previous: Sort by

Given X/|X| < X. Which of the following must be true

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.