NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 01:40 It is currently 26 Apr 2024, 01:40
Decision Tracker
My Rewards
New posts
New comers' posts

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

What value of x (from the five possible answer choices) will yield the

User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92923
Own Kudos [?]: 619090 [1]
Given Kudos: 81596
Send PM
CAT Tests Forum Quiz Mode
What value of x (from the five possible answer choices) will yield the [#permalink] New post   04 May 2016, 08:16
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

65% (hard)

Question Stats:

50% (02:25) correct 50% (02:09) wrong based on 8 sessions
Hide Show timer Statistics
What value of x (from the five possible answer choices) will yield the lowest value of the expression ||12−3x|−|15+2x||?

A. 0
B. 1
C. -1
D. -2
E. -3



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
ShowHide Answer
Official Answer
C
User avatar
S
prashant212
Intern
Intern
Joined: 21 Jan 2016
Posts: 35
Own Kudos [?]: 104 [0]
Given Kudos: 31
Location: India
GMAT 1: 640 Q44 V34
WE:Manufacturing and Production (Manufacturing)
Send PM
Re: What value of x (from the five possible answer choices) will yield the [#permalink] New post   04 May 2016, 08:38
Bunuel wrote:
What value of x (from the five possible answer choices) will yield the lowest value of the expression ||12−3x|−|15+2x||?

A. 0
B. 1
C. -1
D. -2
E. -3


Using the values given in the options is easiest way i could think of. I wonder if their is any other logical way to figure out the minimum value of x or atleast the range of x in which the minimum value of the expression is expected.
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11178
Own Kudos [?]: 31935 [1]
Given Kudos: 290
Send PM
Reviews Badge
Re: What value of x (from the five possible answer choices) will yield the [#permalink] New post   04 May 2016, 09:03
1
Kudos
Expert Reply
Bunuel wrote:
What value of x (from the five possible answer choices) will yield the lowest value of the expression ||12−3x|−|15+2x||?

A. 0
B. 1
C. -1
D. -2
E. -3


Hi

JUST for knowledge .
the minimum value of expression ||12−3x|−|15+2x|| will be 0, as it is MOD..
and where will it be -- when the two terms inside are equal..
so 12-3x = 15 +2x...... or 5x = -3.... or x=-3/5...

so I will see the nearest value to -3/5.. it is C. -1..
answer ||12−3x|−|15+2x|| = ||12-3*-1|-|15+2*-1|| = |15-13| = 2..

we need to just try for one more the closer one on other side of -3/5, that is 0..
ans |12-15|=3..
ans C
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4690 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: What value of x (from the five possible answer choices) will yield the [#permalink] New post   04 May 2016, 11:21
Bunuel wrote:
What value of x (from the five possible answer choices) will yield the lowest value of the expression ||12−3x|−|15+2x||?

A. 0
B. 1
C. -1
D. -2
E. -3


With chetan2u, answer will be (C)

If anyone is having any doubt with any option try testing with the options

A. ||12−3x|−|15+2x|| = ||12−3*0|−|15+2*0|| = ||12|−|15|| = 3

B. ||12−3x|−|15+2x|| = ||12−3*1|−|15+2*1|| = ||9|−|17|| = 8

C. ||12−3x|−|15+2x|| = ||12−3*−1|−|15+2*−1|| = ||15|−|13|| = 2

D. ||12−3x|−|15+2x|| = ||12−3*−2|−|15+2*−2|| = ||18|−|11|| = 7

E. ||12−3x|−|15+2x|| = ||12−3*−3|−|15+2*−3|| = ||21|−|9|| = 12


So, You see answer will be (C) 2
avatar
S
Alphatango
Intern
Intern
Joined: 01 Feb 2015
Status:One more try
Posts: 24
Own Kudos [?]: 29 [0]
Given Kudos: 164
Location: India
Concentration: General Management, Economics
Schools: Duke '19 ISB '18 Tepper '19
WE:Corporate Finance (Commercial Banking)
Send PM
GMAT ToolKit User
Re: What value of x (from the five possible answer choices) will yield the [#permalink] New post   04 May 2016, 11:37
Bunuel wrote:
What value of x (from the five possible answer choices) will yield the lowest value of the expression ||12−3x|−|15+2x||?

A. 0
B. 1
C. -1
D. -2
E. -3


Make the two operators equate
12-3x =15+2x
or,x=-3/5 =-0.6
Nearest term
Ans c

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32678
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: What value of x (from the five possible answer choices) will yield the [#permalink] New post   25 Mar 2022, 17:42
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: What value of x (from the five possible answer choices) will yield the [#permalink]
25 Mar 2022, 17:42
Moderators:
Bunuel
Math Expert
92922 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

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