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

It is currently 17 Oct 2019, 08:38

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 - 5| = 2|x - 8|, then what is the value of x?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Senior Manager
Senior Manager
User avatar
V
Joined: 25 Dec 2018
Posts: 486
Location: India
Concentration: General Management, Finance
GMAT Date: 02-18-2019
GPA: 3.4
WE: Engineering (Consulting)
CAT Tests
If |x - 5| = 2|x - 8|, then what is the value of x?  [#permalink]

Show Tags

New post 25 Mar 2019, 09:41
1
2
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

30% (02:44) correct 70% (02:26) wrong based on 43 sessions

HideShow timer Statistics

If |x - 5| = 2|x - 8|, then what is the value of x?

I. |x^2 – 100| > 50

II. |x^2 – 49| =0
Intern
Intern
avatar
Joined: 17 Mar 2019
Posts: 2
If |x - 5| = 2|x - 8|, then what is the value of x?  [#permalink]

Show Tags

New post 25 Mar 2019, 11:23
1
The answer should be B(Statement 2 alone is sufficient), as X can have the value of 7, which satisfies the given equation.
1st statement is not sufficient as X could be anything.

Soln:- |X^2-49|=0
- Either X would be -7 or +7 which satisfy the above statement. By placing -7 for X in the problem, we are not getting any correct result, but by putting X=+7, the result would be |7-5|=2|7-8| => |2| = 2|-1| => 2=2*1 which makes both LHS and RHS equal.

Kindly let me know, if my answer and approach is correct.Thanks in advance!
GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 5008
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: If |x - 5| = 2|x - 8|, then what is the value of x?  [#permalink]

Show Tags

New post 30 Mar 2019, 10:16
mangamma wrote:
If |x - 5| = 2|x - 8|, then what is the value of x?

I. |x^2 – 100| > 50

II. |x^2 – 49| =0


solve for
|x - 5| = 2|x - 8l
we get
x-5=-2x+16
x= 7
or
|x - 5| = 2|x - 8
x=11
#1
|x^2 – 100| > 50
possible at x= 7
sufficient
#2
|x^2 – 49| =0
sufficeint at x= 7
IMO D
Manager
Manager
User avatar
G
Joined: 11 Feb 2013
Posts: 149
Location: Bangladesh
GMAT 1: 490 Q44 V15
GMAT 2: 690 Q47 V38
GPA: 3.05
WE: Analyst (Commercial Banking)
GMAT ToolKit User Premium Member Reviews Badge
Re: If |x - 5| = 2|x - 8|, then what is the value of x?  [#permalink]

Show Tags

New post 30 Mar 2019, 10:52
Posted from my mobile device
Attachments

IMG_20190330_234751_3.jpg
IMG_20190330_234751_3.jpg [ 3.32 MiB | Viewed 304 times ]

Manager
Manager
User avatar
G
Joined: 11 Feb 2013
Posts: 149
Location: Bangladesh
GMAT 1: 490 Q44 V15
GMAT 2: 690 Q47 V38
GPA: 3.05
WE: Analyst (Commercial Banking)
GMAT ToolKit User Premium Member Reviews Badge
Re: If |x - 5| = 2|x - 8|, then what is the value of x?  [#permalink]

Show Tags

New post 30 Mar 2019, 10:53
Posted from my mobile device
Attachments

IMG_20190330_234902_1.jpg
IMG_20190330_234902_1.jpg [ 3.02 MiB | Viewed 298 times ]

Manager
Manager
User avatar
G
Joined: 11 Feb 2013
Posts: 149
Location: Bangladesh
GMAT 1: 490 Q44 V15
GMAT 2: 690 Q47 V38
GPA: 3.05
WE: Analyst (Commercial Banking)
GMAT ToolKit User Premium Member Reviews Badge
Re: If |x - 5| = 2|x - 8|, then what is the value of x?  [#permalink]

Show Tags

New post 30 Mar 2019, 10:57
Posted from my mobile device
Attachments

IMG_20190330_235705_4.jpg
IMG_20190330_235705_4.jpg [ 2.97 MiB | Viewed 293 times ]

GMAT Club Bot
Re: If |x - 5| = 2|x - 8|, then what is the value of x?   [#permalink] 30 Mar 2019, 10:57
Display posts from previous: Sort by

If |x - 5| = 2|x - 8|, then what is the value of x?

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





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