Find all School-related info fast with the new School-Specific MBA Forum

It is currently 18 Apr 2014, 13:01

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

For what value of x, is |x – 3| + |x + 1| + |x| = 10?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Senior Manager
Senior Manager
User avatar
Status: struggling with GMAT
Joined: 06 Dec 2012
Posts: 314
Location: Bangladesh
Concentration: Accounting
GMAT Date: 04-06-2013
GPA: 3.65
Followers: 7

Kudos [?]: 72 [1] , given: 46

For what value of x, is |x – 3| + |x + 1| + |x| = 10? [#permalink] New post 28 Feb 2013, 13:04
1
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

88% (01:36) correct 11% (00:26) wrong based on 186 sessions
For what value of x, is |x – 3| + |x + 1| + |x| = 10?

(A) 0
(B) 3
(C) -3
(D) 4
(E) -2
[Reveal] Spoiler: OA

Last edited by mun23 on 28 Feb 2013, 13:28, edited 3 times in total.
1 KUDOS received
Manager
Manager
Status: Helping People Ace the GMAT
Affiliations: GMAT Prepster and Stratus Prep
Joined: 16 Jan 2013
Posts: 141
Location: United States
Concentration: Finance, Entrepreneurship
GMAT 1: 770 Q50 V46
GPA: 3.1
WE: Consulting (Consulting)
Followers: 6

Kudos [?]: 39 [1] , given: 4

Re: For what value of x, is |x – 3| + |x + 1| + |x| = 10? [#permalink] New post 28 Feb 2013, 13:11
1
This post received
KUDOS
I think you meant for the answer to be D....


|4 - 3| + |4 + 1| + |4|

|1| + |5| + |4| = 10
_________________

If my response helps, please add throw me a kudos.

Jim Kernan is the Director of GMAT Operations at Stratus Prep and author of GMAT Materials for GMAT Prepster.

Senior Manager
Senior Manager
User avatar
Status: struggling with GMAT
Joined: 06 Dec 2012
Posts: 314
Location: Bangladesh
Concentration: Accounting
GMAT Date: 04-06-2013
GPA: 3.65
Followers: 7

Kudos [?]: 72 [0], given: 46

‘For how many values of x, is |x – 3| + 3|x + 1| + |x| = 4?’ [#permalink] New post 28 Feb 2013, 13:13
‘For how many values of x, is |x – 3| + 3|x + 1| + |x| = 4?’ The answer is 0. Why?
Manager
Manager
Joined: 08 Dec 2012
Posts: 64
Location: United Kingdom
GMAT 1: 710 Q0 V0
WE: Engineering (Consulting)
Followers: 1

Kudos [?]: 32 [0], given: 31

Re: For what value of x, is |x – 3| + |x + 1| + |x| = 10? [#permalink] New post 28 Feb 2013, 13:31
Answer cannot be C. The above equation only works with option D i.e. x=4.
Manager
Manager
Status: Helping People Ace the GMAT
Affiliations: GMAT Prepster and Stratus Prep
Joined: 16 Jan 2013
Posts: 141
Location: United States
Concentration: Finance, Entrepreneurship
GMAT 1: 770 Q50 V46
GPA: 3.1
WE: Consulting (Consulting)
Followers: 6

Kudos [?]: 39 [0], given: 4

Re: ‘For how many values of x, is |x – 3| + 3|x + 1| + |x| = 4?’ [#permalink] New post 28 Feb 2013, 13:52
mun23 wrote:
‘For how many values of x, is |x – 3| + 3|x + 1| + |x| = 4?’ The answer is 0. Why?




This should define x as and integer. I would be careful with your sources...
_________________

If my response helps, please add throw me a kudos.

Jim Kernan is the Director of GMAT Operations at Stratus Prep and author of GMAT Materials for GMAT Prepster.

Veritas Prep GMAT Instructor
User avatar
Joined: 11 Dec 2012
Posts: 313
Followers: 49

Kudos [?]: 160 [0], given: 66

Re: For what value of x, is |x – 3| + |x + 1| + |x| = 10? [#permalink] New post 28 Feb 2013, 14:34
Expert's post
mun23 wrote:
For what value of x, is |x – 3| + |x + 1| + |x| = 10?

(A) 0
(B) 3
(C) -3
(D) 4
(E) -2


Often on these types of questions you're better off just plugging in answer choices and seeing which one is correct. Once you plug in 3 and get (3-3) + (3+1) + 3 = 7, you can figure out that if you added one more to X, you'd get a new answer that's 3 higher than your old answer. However, even if you don't overthink anything and just plug the choices in in succession, you still get the right answer in well under 2 minutes. If you're struggling with these types of questions, keep it simple and you'll be fine.

Hope this helps!
-Ron
_________________

Ron Awad
Veritas Prep | GMAT Instructor
Save $100 on Veritas Prep GMAT Courses and Admissions Consulting Services
Veritas Prep Reviews

Moderator
Moderator
User avatar
Joined: 01 Sep 2010
Posts: 2175
Followers: 172

Kudos [?]: 1517 [0], given: 610

GMAT Tests User Premium Member
Re: For what value of x, is |x – 3| + |x + 1| + |x| = 10? [#permalink] New post 28 Feb 2013, 19:06
Expert's post
VeritasPrepRon wrote:
mun23 wrote:
For what value of x, is |x – 3| + |x + 1| + |x| = 10?

(A) 0
(B) 3
(C) -3
(D) 4
(E) -2


Often on these types of questions you're better off just plugging in answer choices and seeing which one is correct. Once you plug in 3 and get (3-3) + (3+1) + 3 = 7, you can figure out that if you added one more to X, you'd get a new answer that's 3 higher than your old answer. However, even if you don't overthink anything and just plug the choices in in succession, you still get the right answer in well under 2 minutes. If you're struggling with these types of questions, keep it simple and you'll be fine.

Hope this helps!
-Ron



Here you can:

a) test each answer choice OR
b) take the algebra way

Both are fast but it depends how you are comfortable but if you start thinking about the positive side of absolute value ---> x - 3 + x + 1 + x = 10 ---> 3x = 12 x = 4 OR- x + 3 -x - 1 - x = 10 ----> - 3x = 8 NOT POSSIBLE

Only D takes in account. in no more than 50 seconds - 60 at maximum

regards
_________________

KUDOS is the good manner to help the entire community.

4 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4177
Location: Pune, India
Followers: 894

Kudos [?]: 3787 [4] , given: 148

Re: For what value of x, is |x – 3| + |x + 1| + |x| = 10? [#permalink] New post 28 Feb 2013, 20:01
4
This post received
KUDOS
Expert's post
carcass wrote:


Here you can:

a) test each answer choice OR
b) take the algebra way

Both are fast but it depends how you are comfortable but if you start thinking about the positive side of absolute value ---> x - 3 + x + 1 + x = 10 ---> 3x = 12 x = 4 OR- x + 3 -x - 1 - x = 10 ----> - 3x = 8 NOT POSSIBLE

Only D takes in account. in no more than 50 seconds - 60 at maximum

regards


Going the algebra way, you have missed two cases. There are 3 transition points: -1, 0, 3

When x > 3,
|x - 3| + |x + 1| + |x| = 10
x - 3 + x + 1 + x = 10
x = 4
Satisfies

When 0 < x < 3
|x - 3| + |x + 1| + |x| = 10
-(x - 3) + (x + 1) + x = 10
x = 6 (Not possible since 0 < x < 3)

When -1 < x < 0
|x - 3| + |x + 1| + |x| = 10
-(x - 3) + -(x + 1) + x = 10
x = -8 (Not possible since -1 < x < 0)

When x < -1
|x - 3| + |x + 1| + |x| = 10
-(x - 3) - (x+1) - x = 10
x = -8/3
Satisfies

Better is the number line method I discussed in this post:
http://www.veritasprep.com/blog/2011/01 ... s-part-ii/

The question has been picked from here. Mind you, I have discussed two different questions:
1. For what value of x, is |x – 3| + |x + 1| + |x| = 10?
2. For how many values of x, is |x – 3| + |x + 1| + |x| = 10?

The method to be used is different in the two cases. As Ron mentioned above, just plug in the options in the first question. In the second question, you can use the number line to quickly solve it. Check out the post to avoid confusion.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4177
Location: Pune, India
Followers: 894

Kudos [?]: 3787 [1] , given: 148

Re: ‘For how many values of x, is |x – 3| + 3|x + 1| + |x| = 4?’ [#permalink] New post 28 Feb 2013, 20:06
1
This post received
KUDOS
Expert's post
JimGMATPrepster wrote:
mun23 wrote:
‘For how many values of x, is |x – 3| + 3|x + 1| + |x| = 4?’ The answer is 0. Why?




This should define x as and integer. I would be careful with your sources...


There is no reason to define x as an integer.
There is no value of x which satisfies this equation - integer or real number.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

2 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4177
Location: Pune, India
Followers: 894

Kudos [?]: 3787 [2] , given: 148

Re: For what value of x, is |x – 3| + |x + 1| + |x| = 10? [#permalink] New post 28 Feb 2013, 20:08
2
This post received
KUDOS
Expert's post
There are various different questions in this post which is creating confusion. To get the correct answer of each one of them, kindly check my post and the responses below it:
http://www.veritasprep.com/blog/2011/01 ... s-part-ii/
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

Moderator
Moderator
User avatar
Joined: 01 Sep 2010
Posts: 2175
Followers: 172

Kudos [?]: 1517 [0], given: 610

GMAT Tests User Premium Member
Re: For what value of x, is |x – 3| + |x + 1| + |x| = 10? [#permalink] New post 01 Mar 2013, 02:26
Expert's post
Thanks Mod :) to point out a detailed explanatio.

I know that for each absolute value you have to considere a sign positive and negative. However, as soon as possible you realize that on two value there is 4 (among the answers) and -8/3 is almost impossible to have another solution for two reasons:

1) we are in gmat land and each question is constructed in a certain way. (but of course)

2) is a intuitive method: doing a lot of practice then you know how the things work because is always the same thing, actually.

I mean: it's like in CR: I always read the stimulus and after the question stem but often when I finish the stimulus I know from the tone of the question, from how the same unfold and so on what will be the question: weaken and so on......a do not read the stem at all, simply because for the logic of the question, the same must go in one direction instead of another.

Anyway, Thanks :). It's always useful to repeat over and over again the concepts (and I'm a huge fan of you).
_________________

KUDOS is the good manner to help the entire community.

Senior Manager
Senior Manager
User avatar
Status: struggling with GMAT
Joined: 06 Dec 2012
Posts: 314
Location: Bangladesh
Concentration: Accounting
GMAT Date: 04-06-2013
GPA: 3.65
Followers: 7

Kudos [?]: 72 [0], given: 46

Re: For what value of x, is |x – 3| + |x + 1| + |x| = 10? [#permalink] New post 01 Mar 2013, 07:25
Hi karisma
Whats the difference between for what value of x &for how many values of x.........
Intern
Intern
Joined: 08 Dec 2012
Posts: 7
WE: Corporate Finance (Retail Banking)
Followers: 0

Kudos [?]: 6 [0], given: 9

Re: For what value of x, is |x – 3| + |x + 1| + |x| = 10? [#permalink] New post 01 Mar 2013, 17:34
I think this question is not hard for us to explain: when x >3, when 0 < x < 3, .... If we write exam, we don't have much time to do like this.
I think we should use the answers into equation, we have the answer faster than divide into some parts (x > 3, 0 < x < 3)
Answer is 4
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4177
Location: Pune, India
Followers: 894

Kudos [?]: 3787 [0], given: 148

Re: For what value of x, is |x – 3| + |x + 1| + |x| = 10? [#permalink] New post 01 Mar 2013, 21:29
Expert's post
mun23 wrote:
Hi karisma
Whats the difference between for what value of x &for how many values of x.........


'For what value of x....' implies you are looking for one particular value of x. There could be 2 or more values satisfying this equation but you are looking for only one - the one which is included in your options.

x can take two values here: 4 and -8/3

'For what value of x....' will be answered by 4. 4 is one of the values that satisfy this equation. The other one, -8/3, is not in the options which is logical since only one option can be correct. This question is generally simpler since you can plug in the options to see which value satisfies the equation.

'For how many values of x ...' means 'how many values can x take?' The answer here will be 2. x can take 2 values: 4 and -8/3. This question is usually more complex. You need to find the number of values x can take. The options will be something like: 0, 1, 2, 3, 'More than 3'. Here, you cannot plug in the options since the options do not give you the values x can take. They only give you the number of values. So you actually need to solve the equation to get how many values x can take.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

Senior Manager
Senior Manager
User avatar
Joined: 13 May 2013
Posts: 476
Followers: 0

Kudos [?]: 35 [0], given: 134

Re: For what value of x, is |x – 3| + |x + 1| + |x| = 10? [#permalink] New post 10 Jul 2013, 09:59
For what value of x, is |x – 3| + |x + 1| + |x| = 10?

It's easiest just to plug in answer choices:

(D): 4
|x – 3| + |x + 1| + |x| = 10?
|4 - 3| + |4 + 1| + |4| = 10?
|1| + |5| + |4| = 10

(D)
Re: For what value of x, is |x – 3| + |x + 1| + |x| = 10?   [#permalink] 10 Jul 2013, 09:59
    Similar topics Author Replies Last post
Similar
Topics:
New posts x)^x]^x = 3*3^1/2 What is the value of x rxs0005 7 25 Jan 2005, 18:21
Popular new posts In the equatioin x^2 + 1/x^2=10/3, what values can x be joemama142000 10 22 Feb 2006, 03:00
Popular new posts If x=7, what is the value of 1-x^2+x^3-x^4+x^5-x^6 joemama142000 10 28 Apr 2006, 02:08
New posts Experts publish their posts in the topic What is the value of |x + 7| =? (1) |x + 3|= 14 (2) (x + wizardofwashington 3 19 May 2008, 19:35
New posts What is the value of x ? (1) x3 = 6x − x2 (2) 14x = x3 + 5 krishnasty 5 04 Oct 2011, 06:43
Display posts from previous: Sort by

For what value of x, is |x – 3| + |x + 1| + |x| = 10?

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.