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

It is currently 16 Oct 2019, 19:59

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

If x ≠ 2.5 and 2x = |15 - 4x|, then x =

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58381
If x ≠ 2.5 and 2x = |15 - 4x|, then x =  [#permalink]

Show Tags

New post 22 Oct 2018, 01:26
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

95% (01:02) correct 5% (01:46) wrong based on 123 sessions

HideShow timer Statistics

VP
VP
User avatar
D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1017
WE: Supply Chain Management (Energy and Utilities)
Re: If x ≠ 2.5 and 2x = |15 - 4x|, then x =  [#permalink]

Show Tags

New post 22 Oct 2018, 01:34
Bunuel wrote:
If x ≠ 2.5 and 2x = |15 - 4x|, then x =

A. 3.5
B. 4.5
C. 5.5
D. 6.5
E. 7.5


Given, |15 - 4x|= 2x
Or, -(15-4x)=2x; ( |15-4x|=-(15-4x) when (15-4x)<0 or, 15<4x or,x>3.75 )
Or, 4x-15=2x
Or, 2x=15
Or, x=7.5

Ans. (E)
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
Senior Manager
Senior Manager
User avatar
P
Joined: 07 Jul 2012
Posts: 367
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Re: If x ≠ 2.5 and 2x = |15 - 4x|, then x =  [#permalink]

Show Tags

New post 22 Oct 2018, 04:57
2x= |15-4x| means 2x= 15-4x; 2x+6x= 15; 8x= 15; x= \(\frac{15}{6}\)= 2.5 (Not Possible given)

OR

2x= |15-4x| means 2x= -(15-4x); 2x= -15+4x; 2x= 15; x= \(\frac{15}{7}\)= 7.5

Answer: E
_________________
Kindly hit kudos if my post helps!
Manager
Manager
User avatar
B
Joined: 26 Feb 2017
Posts: 85
Location: India
GPA: 3.99
Re: If x ≠ 2.5 and 2x = |15 - 4x|, then x =  [#permalink]

Show Tags

New post 23 Oct 2018, 07:20
Posted from my mobile device
Attachments

0BAE164A-5A40-48D1-856A-5DD325655BBB.jpeg
0BAE164A-5A40-48D1-856A-5DD325655BBB.jpeg [ 376.13 KiB | Viewed 830 times ]

Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8085
Location: United States (CA)
Re: If x ≠ 2.5 and 2x = |15 - 4x|, then x =  [#permalink]

Show Tags

New post 23 Oct 2018, 19:26
Bunuel wrote:
If x ≠ 2.5 and 2x = |15 - 4x|, then x =

A. 3.5
B. 4.5
C. 5.5
D. 6.5
E. 7.5


With an absolute value equation, we must consider two cases:

Case 1: Solve for x when 15 - 4x is positive :

2x = 15 - 4x

6x - 15

x = 2.5 (but we are given that x ≠ 2.5)

Case 2: Solve for x when 15 - 4x is negative:

2x = -(15 - 4x)

2x = -15 + 4x

-2x = -15

x = 7.5

Answer: E
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: If x ≠ 2.5 and 2x = |15 - 4x|, then x =   [#permalink] 23 Oct 2018, 19:26
Display posts from previous: Sort by

If x ≠ 2.5 and 2x = |15 - 4x|, then x =

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





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