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

It is currently 18 Nov 2019, 19:24
Register
GMAT Club Tests
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
CLICK HERE TO HIDE/SHOW EVENTS

When |x|>1 and |x-3|>1, which of the following is contained in the sco

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
  Sort by Date Sort by Kudos  
Search for:
 
Print view
First unread post
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 8150
GMAT 1: 760 Q51 V42
GPA: 3.82
When |x|>1 and |x-3|>1, which of the following is contained in the sco  [#permalink]

Show Tags

New post 21 Jul 2017, 01:08
2
9
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

69% (01:38) correct 31% (01:56) wrong based on 323 sessions

HideShow timer Statistics

When |x|>1 and |x-3|>1, which of the following is contained in the scope of x?

A. -0.5
B. 0
C. 0.5
D. 1.5
E. 2.5
Spoiler: OA

_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Signature Read More
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3308
Location: India
GPA: 3.12
Re: When |x|>1 and |x-3|>1, which of the following is contained in the sco  [#permalink]

Show Tags

New post 21 Jul 2017, 01:15
2
Going by the answer options, Only x = 1.5(Option D) is contained in the scope of x

When x=1.5, |x| = 1.5 > 1 and |x-3| = |1.5 - 3| = |-1.5| > 1
_________________
You've got what it takes, but it will take everything you've got
Signature Read More
Intern
Intern
avatar
S
Joined: 06 May 2014
Posts: 44
GMAT ToolKit User Reviews Badge
Re: When |x|>1 and |x-3|>1, which of the following is contained in the sco  [#permalink]

Show Tags

New post 21 Jul 2017, 02:23
1
1
by simplifying modulus, x has following solutions:

X >1
X< -1
X<2
X>4

choice D satisfies 2nd and 3rd solution, so D.
try number line and plot if solutions make it messy.
_________________
Utilize your 'today' to build up your tomorrow'!

.... Looking for some kudos here...
Signature Read More
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 8150
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: When |x|>1 and |x-3|>1, which of the following is contained in the sco  [#permalink]

Show Tags

New post 23 Jul 2017, 18:29
2
==> |x|>1 becomes x<-1 or 1<x, and for |x-3|>1, you get x-3<-1 or 1<x-3 --> x<2 or 4<x. Then, what satisfies both becomes 1<x<2 or 4<x.

The answer is D.
Answer: D
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Signature Read More
Intern
Intern
avatar
B
Joined: 14 Nov 2013
Posts: 22
Location: India
Concentration: Finance, Sustainability
Schools: HBS '22, Stanford '22, Wharton '22, Tuck '22, ISB '21
WE: Corporate Finance (Non-Profit and Government)
Reviews Badge CAT Tests
Re: When |x|>1 and |x-3|>1, which of the following is contained in the sco  [#permalink]

Show Tags

New post 13 Oct 2019, 18:50
can anyone please explain what scope of x means and how 1.5 was considered.. i am confused
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 8187
Reviews Badge
Top Member of the Month
Re: When |x|>1 and |x-3|>1, which of the following is contained in the sco  [#permalink]

Show Tags

New post 13 Oct 2019, 18:59
1
vamkrispk wrote:
can anyone please explain what scope of x means and how 1.5 was considered.. i am confused


When |x|>1 and |x-3|>1, which of the following is contained in the scope of x?

A. -0.5
B. 0
C. 0.5
D. 1.5
E. 2.5

Contained in the scope of x in simple terms means ' Which of the choices fit in the range of x'.

Now |x|>1 means x<-1 and x>1
|x-3|>1 means x-3>1..x>4 or 3-x>1 or x<2..

Common range is x<-1, 1<x<2 and x>4..
Only 1.5 falls in one of the range above 1<x<2

so D
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


GMAT Expert
Signature Read More
GMAT Club Bot
Re: When |x|>1 and |x-3|>1, which of the following is contained in the sco   [#permalink] 13 Oct 2019, 18:59
Print view
First unread post
Display posts from previous: Sort by

When |x|>1 and |x-3|>1, which of the following is contained in the sco

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

Moderators: chetan2u, VeritasKarishma, Gladiator59, Bunuel, generis

Search for:





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions