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

It is currently 23 Sep 2018, 13:07

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>3?

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

Hide Tags

Intern
Intern
avatar
Joined: 04 Apr 2012
Posts: 8
Is x>3?  [#permalink]

Show Tags

New post Updated on: 08 Jul 2012, 03:27
1
3
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

74% (01:02) correct 26% (00:50) wrong based on 98 sessions

HideShow timer Statistics

Is x >3

(1) (x-1)^2 > 4

(2) (x-1)^2 > 9

Originally posted by aazhar on 07 Jul 2012, 18:44.
Last edited by Bunuel on 08 Jul 2012, 03:27, edited 1 time in total.
Edited the question and added the OA.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49320
Re: Is x>3?  [#permalink]

Show Tags

New post 08 Jul 2012, 03:30
Is x >3

(1) (x-1)^2 > 4 --> \(x-1<-2\) or \(x-1>2\) --> \(x<-1\) or \(x>3\). Not sufficient.

(2) (x-1)^2 > 9 --> \(x-1<-3\) or \(x-1>3\) --> \(x<-2\) or \(x>4\). Not sufficient.

(1)+(2) Intersection of the ranges from (1) and (2) gives: \(x<-2\) or \(x>4\), so \(x\) may or may not be greater than 3. Not sufficient.

Answer: E.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

CEO
CEO
User avatar
D
Joined: 12 Sep 2015
Posts: 2884
Location: Canada
Re: Is x>3?  [#permalink]

Show Tags

New post 29 Mar 2017, 09:08
Top Contributor
aazhar wrote:
Is x >3

(1) (x-1)² > 4

(2) (x-1)² > 9


Bunuel's solution is perfect, so I won't re-use that strategy.
Another approach is to TEST some values of x.

Target question: Is x >3?

Statement 1: (x-1)² > 4
There are several values of x that satisfy statement 1. Here are two:
Case a: x = 10, in which case, x > 3
Case b: x = -10, in which case, x < 3
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: (x-1)² > 9
There are several values of x that satisfy statement 1. Here are two:
Case a: x = 10, in which case, x > 3
Case b: x = -10, in which case, x < 3
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
NOTE: since we were able to use the same values of x to show that statements 1 and 2 ALONE are not sufficient, we can re-use them to show that statements 1 and 2 COMBINED are not sufficient
Case a: x = 10, in which case, x > 3
Case b: x = -10, in which case, x < 3
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

RELATED VIDEOS




_________________

Brent Hanneson – GMATPrepNow.com
Image
Sign up for our free Question of the Day emails

GMAT Club Bot
Re: Is x>3? &nbs [#permalink] 29 Mar 2017, 09:08
Display posts from previous: Sort by

Is x>3?

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

Events & Promotions

PREV
NEXT


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®.