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

 It is currently 19 Jun 2018, 01:44

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If x ≠ 0, is x^2/|x|< 1? (1) x < 1 (2) x > −1

Author Message
Senior Manager
Joined: 10 Mar 2008
Posts: 333
If x ≠ 0, is x^2/|x|< 1? (1) x < 1 (2) x > −1 [#permalink]

### Show Tags

13 Oct 2008, 21:30
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

If x ≠ 0, is x^2/|x| −1

Could some please explain as to how to simply the question. Thanks!

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
SVP
Joined: 29 Aug 2007
Posts: 2426

### Show Tags

13 Oct 2008, 21:54
vksunder wrote:
If x ≠ 0, is x^2/|x|< 1?
(1) x < 1
(2) x > −1

Could some please explain as to how to simply the question. Thanks!

"x^2 / |x| < 1?" can be re-arranged as "x^2 < |x| ?"

then from
1: if x < 1, x could be +ve fraction, -ve fraction or -ve integer/number.. nsf.
2: if x > -1, x could be a -ve fraction, +ve fraction or +ve integer/number.. nsf.

from 1 and 2: -1 < x < 1. so x is either a +ve or -ve fraction. in that case, lxl is always > x^2.

so it is C.
_________________

Gmat: http://gmatclub.com/forum/everything-you-need-to-prepare-for-the-gmat-revised-77983.html

GT

VP
Joined: 17 Jun 2008
Posts: 1479

### Show Tags

13 Oct 2008, 22:09
vksunder wrote:
If x ≠ 0, is x^2/|x|< 1?
(1) x < 1
(2) x > −1

Could some please explain as to how to simply the question. Thanks!

x^2 can be written as |x| * |x| and hence x^2/|x| can reduce to |x|.

|x| will be smaller than 1 only when -1<x<1 and hence C should be the answer.
Retired Moderator
Joined: 05 Jul 2006
Posts: 1734

### Show Tags

14 Oct 2008, 13:07
1
vksunder wrote:
If x ≠ 0, is x^2/|x|< 1?
(1) x < 1
(2) x > −1

Could some please explain as to how to simply the question. Thanks!

REWRITE

X^4 / X^2 <1

X^2<1

ie: is /x/< 1

obviously C
Senior Manager
Joined: 10 Mar 2008
Posts: 333

### Show Tags

14 Oct 2008, 15:26
Thanks for the explanation guys! OA - C.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: DS   [#permalink] 14 Oct 2008, 15:26
Display posts from previous: Sort by