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

It is currently 21 Apr 2019, 11:19

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

Is |x|^2 - 5|x| + 6 > 0? (1) |x| > 2 (2) |x| < 3

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Director
Director
User avatar
P
Joined: 23 Feb 2015
Posts: 847
GMAT 1: 720 Q49 V40
GMAT ToolKit User Premium Member
Is |x|^2 - 5|x| + 6 > 0? (1) |x| > 2 (2) |x| < 3  [#permalink]

Show Tags

New post Updated on: 20 Mar 2019, 10:39
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

36% (02:00) correct 64% (02:09) wrong based on 25 sessions

HideShow timer Statistics

Is \(|x|^2-5|x|+6>0?\)


(1) \(|x|>2\)

(2) \(|x|<3\)

_________________
“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
Henry Wadsworth Longfellow

Originally posted by AsadAbu on 20 Mar 2019, 08:55.
Last edited by Bunuel on 20 Mar 2019, 10:39, edited 1 time in total.
Renamed the topic and edited the question.
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2906
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Is |x|^2 - 5|x| + 6 > 0? (1) |x| > 2 (2) |x| < 3  [#permalink]

Show Tags

New post Updated on: 24 Mar 2019, 03:13
AsadAbu wrote:
Is \(|x|^2-5|x|+6>0?\)
1) \(|x|>2\)
2) \(|x|<3\)

Let, |x| = a

\(|x|^2-5|x|+6>0\) becomes \(a^2-5a+6>0\)

i.e. Question is Is\((a-2)(a-3) > 0?\)

Which is possible when both (a-2) and (a-3) are greater than 0

i.e. Question : Is a > 3 OR a<2? cause a=IxI can NOT be negative

Statement 1: a > 2

NOT SUFFICIENT

Statement 2: a < 3

NOT SUFFICIENT

Combining the two statements
2 < a < 3
SUFFICIENT

Answer: Option C
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Originally posted by GMATinsight on 20 Mar 2019, 09:24.
Last edited by GMATinsight on 24 Mar 2019, 03:13, edited 1 time in total.
CEO
CEO
User avatar
P
Joined: 18 Aug 2017
Posts: 3008
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Is |x|^2 - 5|x| + 6 > 0? (1) |x| > 2 (2) |x| < 3  [#permalink]

Show Tags

New post Updated on: 24 Mar 2019, 08:23
AsadAbu wrote:
Is \(|x|^2-5|x|+6>0?\)
1) \(|x|>2\)
2) \(|x|<3\)


#1
at x= 3 , we get \(|x|^2-5|x|+6>0?\) = 0
and x=4 \(|x|^2-5|x|+6>0?\)= 2 ;insufficient
#2
x=2,1 \(|x|^2-5|x|+6>0?\)=0
insufficient

from 1&2
2>x<3
sufficient
IMO C
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.

Originally posted by Archit3110 on 20 Mar 2019, 09:34.
Last edited by Archit3110 on 24 Mar 2019, 08:23, edited 1 time in total.
Director
Director
User avatar
D
Joined: 27 May 2012
Posts: 730
Re: Is |x|^2 - 5|x| + 6 > 0? (1) |x| > 2 (2) |x| < 3  [#permalink]

Show Tags

New post 23 Mar 2019, 11:45
AsadAbu wrote:
Is \(|x|^2-5|x|+6>0?\)


(1) \(|x|>2\)

(2) \(|x|<3\)


In inequality it is better to verify the answer by plugging in the original equation.

1) if x=3 then \(|x|^2-5|x|+6 =0\) ans is NO.
if x=4 then \(|x|^2-5|x|+6 =2\) ans is Yes
Hence Insufficient

2) If x=2 \(|x|^2-5|x|+6\) =0 ans is NO.
if x=0 then \(|x|^2-5|x|+6\) =6 ans is Yes
Hence B is also Insufficient

1+2

-3< x <-2 or 2<x<3
take a value x=\(\frac{5}{2}\) \(\rightarrow\) 2.5 putting in eqn.
\(\frac{25}{4}-\frac{25}{2}+6<0\)
So a definite NO.
IMO C
_________________
- Stne
Director
Director
User avatar
P
Joined: 23 Feb 2015
Posts: 847
GMAT 1: 720 Q49 V40
GMAT ToolKit User Premium Member
Re: Is |x|^2 - 5|x| + 6 > 0? (1) |x| > 2 (2) |x| < 3  [#permalink]

Show Tags

New post 24 Mar 2019, 01:35
stne wrote:
AsadAbu wrote:
Is \(|x|^2-5|x|+6>0?\)


(1) \(|x|>2\)

(2) \(|x|<3\)



2) If x=2 \(|x|^2-5|x|+6\) =0 ans is NO.
if x=0 then \(|x|^2-5|x|+6\) =6 ans is Yes
Hence B is also Insufficient

GMATinsight
Here the explanation of statement 2 says: B is Insufficient.
_________________
“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
Henry Wadsworth Longfellow
Director
Director
User avatar
P
Joined: 23 Feb 2015
Posts: 847
GMAT 1: 720 Q49 V40
GMAT ToolKit User Premium Member
Re: Is |x|^2 - 5|x| + 6 > 0? (1) |x| > 2 (2) |x| < 3  [#permalink]

Show Tags

New post 24 Mar 2019, 04:11
AsadAbu wrote:
stne wrote:
AsadAbu wrote:
Is \(|x|^2-5|x|+6>0?\)


(1) \(|x|>2\)

(2) \(|x|<3\)



2) If x=2 \(|x|^2-5|x|+6\) =0 ans is NO.
if x=0 then \(|x|^2-5|x|+6\) =6 ans is Yes
Hence B is also Insufficient

GMATinsight
Here the explanation of statement 2 says: B is Insufficient.

Archit3110
Take a look here, please.
_________________
“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
Henry Wadsworth Longfellow
GMAT Club Bot
Re: Is |x|^2 - 5|x| + 6 > 0? (1) |x| > 2 (2) |x| < 3   [#permalink] 24 Mar 2019, 04:11
Display posts from previous: Sort by

Is |x|^2 - 5|x| + 6 > 0? (1) |x| > 2 (2) |x| < 3

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

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