It is currently 21 Sep 2017, 09:21

Happening Now:

Live Chat with Amy Mitson, Sr. Associate Director of Admissions at Tuck Dartmouth


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

Events & Promotions in June
Open Detailed Calendar

is ((x-3)^2)^0.5 = 3-x ? A)x is not equal to 3 B)-x|x| >

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
avatar
Joined: 29 Jul 2009
Posts: 116

Kudos [?]: 104 [0], given: 23

is ((x-3)^2)^0.5 = 3-x ? A)x is not equal to 3 B)-x|x| > [#permalink]

Show Tags

New post 05 Aug 2009, 08:51
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

50% (00:02) correct 50% (00:19) wrong based on 1 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

is ((x-3)^2)^0.5 = 3-x ?

A)x is not equal to 3
B)-x|x| > 0

Kudos [?]: 104 [0], given: 23

SVP
SVP
User avatar
B
Joined: 05 Jul 2006
Posts: 1742

Kudos [?]: 418 [0], given: 49

GMAT ToolKit User
Re: is ((x-3)^2)^0.5 = 3-x ? [#permalink]

Show Tags

New post 05 Aug 2009, 09:24
apoorvasrivastva wrote:
is ((x-3)^2)^0.5 = 3-x ?

A)x is not equal to 3
B)-x|x| > 0


the question is asking wheter x = 3

from one.......suff

from 2

x is -ve insuff

A

Kudos [?]: 418 [0], given: 49

Manager
Manager
avatar
Joined: 07 Apr 2009
Posts: 145

Kudos [?]: 13 [0], given: 3

Re: is ((x-3)^2)^0.5 = 3-x ? [#permalink]

Show Tags

New post 05 Aug 2009, 11:33
the answer is 'B'


\(((x-3)^2)^0.5 = 3-x ?\)

statement 1: NOT SUFF
it just says x<>3, what abt x > 3 the inequality holds good

Statement 2:
the given equality holds good for all negative values

-x|x|> 0

x>0 --> -x^2 > 0 -> a negative number cant be > 0 so x cant be > 0
x < 0 --> x2 > 0 --> yes so x is negative

for all negative values this holds good.

hence B

Kudos [?]: 13 [0], given: 3

Manager
Manager
avatar
Joined: 29 Jul 2009
Posts: 116

Kudos [?]: 104 [0], given: 23

Re: is ((x-3)^2)^0.5 = 3-x ? [#permalink]

Show Tags

New post 05 Aug 2009, 12:57
skpMatcha wrote:
the answer is 'B'


\(((x-3)^2)^0.5 = 3-x ?\)

statement 1: NOT SUFF
it just says x<>3, what abt x > 3 the inequality holds good

Statement 2:
the given equality holds good for all negative values

-x|x|> 0

x>0 --> -x^2 > 0 -> a negative number cant be > 0 so x cant be > 0
x < 0 --> x2 > 0 --> yes so x is negative

for all negative values this holds good.

hence B


well can the question be written as is |x-3| = 3-x?

Kudos [?]: 104 [0], given: 23

Senior Manager
Senior Manager
avatar
Joined: 17 Jul 2009
Posts: 286

Kudos [?]: 44 [0], given: 9

Concentration: Nonprofit, Strategy
GPA: 3.42
WE: Engineering (Computer Hardware)
Re: is ((x-3)^2)^0.5 = 3-x ? [#permalink]

Show Tags

New post 05 Aug 2009, 13:22
apoorvasrivastva wrote:
skpMatcha wrote:
the answer is 'B'


\(((x-3)^2)^0.5 = 3-x ?\)

statement 1: NOT SUFF
it just says x<>3, what abt x > 3 the inequality holds good

Statement 2:
the given equality holds good for all negative values

-x|x|> 0

x>0 --> -x^2 > 0 -> a negative number cant be > 0 so x cant be > 0
x < 0 --> x2 > 0 --> yes so x is negative

for all negative values this holds good.

hence B


well can the question be written as is |x-3| = 3-x?


yeah you can, answer is b, as 0 escapes statement 1, and statement 2 includes statement 1's situation....

Kudos [?]: 44 [0], given: 9

SVP
SVP
User avatar
Joined: 29 Aug 2007
Posts: 2473

Kudos [?]: 832 [0], given: 19

Re: is ((x-3)^2)^0.5 = 3-x ? [#permalink]

Show Tags

New post 05 Aug 2009, 15:25
apoorvasrivastva wrote:
skpMatcha wrote:
the answer is 'B'

\(((x-3)^2)^0.5 = 3-x ?\)

statement 1: NOT SUFF
it just says x<>3, what abt x > 3 the inequality holds good

Statement 2: the given equality holds good for all negative values

-x|x|> 0

x>0 --> -x^2 > 0 -> a negative number cant be > 0 so x cant be > 0
x < 0 --> x2 > 0 --> yes so x is negative

for all negative values this holds good.

hence B


well can the question be written as is |x-3| = 3-x?


Thats what the question is.

[(x-3)^2]^0.5 = (3-x) ?
Irrespective of x's value, (x-3)^2 is always +ve. Sqrt of (x-3)^2 is always +ve (x - 3).
Therefore ((x-3)^2)^0.5 = |x - 3|. Hence |x - 3| = (3-x) ?

For example: x = -4, 0 , 1, 5
If x = -4, [(x-3)^2]^0.5 = [(-4-3)^2]^0.5 = [(-7)^2]^0.5 = (49)^0.5 = 7, which is equal to |-4 - 3| = |7| = 7
If x = 0, [(x-3)^2]^0.5 = [(-0-3)^2]^0.5 = [(-3)^2]^0.5 = (9)^0.5 = 3, which is equal to |0 - 3|= |3| = 3
If x = 1, [(x-3)^2]^0.5 = [(1-3)^2]^0.5 = [(-2)^2]^0.5 = (4)^0.5 = 2, which is equal to |1 - 3| = |2| = 2
If x = 5, [(x-3)^2]^0.5 = [(5-3)^2]^0.5 = [(2)^2]^0.5 = (4)^0.5 = 2, which is equal to |5 - 3| = |2| = 2
_________________

Verbal: http://gmatclub.com/forum/new-to-the-verbal-forum-please-read-this-first-77546.html
Math: http://gmatclub.com/forum/new-to-the-math-forum-please-read-this-first-77764.html
Gmat: http://gmatclub.com/forum/everything-you-need-to-prepare-for-the-gmat-revised-77983.html


GT

Kudos [?]: 832 [0], given: 19

Director
Director
avatar
Joined: 13 Nov 2003
Posts: 789

Kudos [?]: 59 [0], given: 0

Location: BULGARIA
Re: is ((x-3)^2)^0.5 = 3-x ? [#permalink]

Show Tags

New post 05 Aug 2009, 23:19
Hi,

What will happen if we square both sides of the equation?

Thanks

Kudos [?]: 59 [0], given: 0

Manager
Manager
User avatar
Joined: 18 Jul 2009
Posts: 168

Kudos [?]: 113 [0], given: 37

Location: India
Schools: South Asian B-schools
Re: is ((x-3)^2)^0.5 = 3-x ? [#permalink]

Show Tags

New post 06 Aug 2009, 03:35
OA B

S(1) asking if x=3 or 0 or any -ve number ...as these are the only possible solutions ( plz substitute n chk)....as x is not equal to 3 ...x can be 0 or any other number... hence insufficient

S(2) -x|x| > 0...this means for left hand side to be +ve .... |x| = always +ve so to negate negative sign of -x => x has to ve -ve thus..... x < 0....hence sufficient

if u likr my post...consider it for Kudos :wink:
_________________

Bhushan S.
If you like my post....Consider it for Kudos :-D

Kudos [?]: 113 [0], given: 37

Manager
Manager
avatar
Joined: 15 Jun 2009
Posts: 151

Kudos [?]: 64 [0], given: 8

Re: is ((x-3)^2)^0.5 = 3-x ? [#permalink]

Show Tags

New post 06 Aug 2009, 03:54
imo b....

1) is insuff as equnation can be equal or unequal.....
Ex. put x=4 ...not equal

x=2 ..equal...

2) -x|x| > 0 ..implies x<0 ....

the equation satisifes for all values of neagtive x.....

Kudos [?]: 64 [0], given: 8

Manager
Manager
avatar
Joined: 29 Jul 2009
Posts: 116

Kudos [?]: 104 [0], given: 23

Re: is ((x-3)^2)^0.5 = 3-x ? [#permalink]

Show Tags

New post 06 Aug 2009, 05:37
The OA is B...great solutions guys

Kudos [?]: 104 [0], given: 23

Re: is ((x-3)^2)^0.5 = 3-x ?   [#permalink] 06 Aug 2009, 05:37
Display posts from previous: Sort by

is ((x-3)^2)^0.5 = 3-x ? A)x is not equal to 3 B)-x|x| >

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.