It is currently 11 Dec 2017, 14:07

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The absolute value of (x + a) will be the greatest if x is the coordin

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

Hide Tags

Expert Post
4 KUDOS received
e-GMAT Representative
User avatar
S
Joined: 04 Jan 2015
Posts: 756

Kudos [?]: 2230 [4], given: 123

The absolute value of (x + a) will be the greatest if x is the coordin [#permalink]

Show Tags

New post 19 May 2015, 06:33
4
This post received
KUDOS
Expert's post
8
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

87% (00:52) correct 13% (01:03) wrong based on 544 sessions

HideShow timer Statistics

Image

The absolute value of (x + a) will be the greatest if x is the coordinate of which of the five points P, Q, R, S and T on the number line above?
(A) P
(B) Q
(C) R
(D) S
(E) T

This is a Warm-up Question for the e-GMAT Question Series on Absolute Value.

Provide your solution below. Kudos for participation. Happy Solving! :-D

Best Regards
The e-GMAT Team

[Reveal] Spoiler:
Attachment:
ABOQ1.png
ABOQ1.png [ 7.61 KiB | Viewed 2102 times ]
[Reveal] Spoiler: OA

_________________












| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com


Last edited by EgmatQuantExpert on 22 May 2015, 02:39, edited 3 times in total.

Kudos [?]: 2230 [4], given: 123

1 KUDOS received
Manager
Manager
User avatar
Joined: 28 Dec 2012
Posts: 110

Kudos [?]: 75 [1], given: 90

Location: India
Concentration: Strategy, Finance
WE: Engineering (Energy and Utilities)
GMAT ToolKit User
Re: The absolute value of (x + a) will be the greatest if x is the coordin [#permalink]

Show Tags

New post 19 May 2015, 14:03
1
This post received
KUDOS
1
This post was
BOOKMARKED
EgmatQuantExpert wrote:
Image

The absolute value of (x + a) will be the greatest if x is the coordinate of which of the five points P, Q, R, S and T on the number line above?
(A) P
(B) Q
(C) R
(D) S
(E) T

This is a Warm-up Question for the e-GMAT Question Series on Absolute Value.

Provide your solution below. Kudos for participation. The Official Answer and Explanation will be posted on 20th May.

Till then, Happy Solving! :-D

Best Regards
The e-GMAT Team


Mod (x+a) represents distance of x from -a. T is farthest from -a and hence mod (x+a) will be maximum at T. Confirm by substituting x with (-a-2) and (a+4) respectively.
Option E.
_________________

Impossibility is a relative concept!!

Kudos [?]: 75 [1], given: 90

Expert Post
2 KUDOS received
e-GMAT Representative
User avatar
S
Joined: 04 Jan 2015
Posts: 756

Kudos [?]: 2230 [2], given: 123

Re: The absolute value of (x + a) will be the greatest if x is the coordin [#permalink]

Show Tags

New post 22 May 2015, 02:40
2
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
Official Explanation

Correct Answer: E

The question asks us to maximize the value of |x+a|

|x+a| measures the distance of x from the point –a on the number line.

Out of the five points, the point that is the most distant from –a is T.

Image
_________________












| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Kudos [?]: 2230 [2], given: 123

Intern
Intern
avatar
Joined: 01 Aug 2010
Posts: 14

Kudos [?]: [0], given: 41

Re: The absolute value of (x + a) will be the greatest if x is the coordin [#permalink]

Show Tags

New post 27 Jun 2015, 01:58
Hi,

Could you please explain why modulus of (x+a) means distance from -a to x and not distance from a to x?

Thanks

Kudos [?]: [0], given: 41

Expert Post
2 KUDOS received
e-GMAT Representative
User avatar
S
Joined: 04 Jan 2015
Posts: 756

Kudos [?]: 2230 [2], given: 123

Re: The absolute value of (x + a) will be the greatest if x is the coordin [#permalink]

Show Tags

New post 01 Jul 2015, 06:10
2
This post received
KUDOS
Expert's post
4
This post was
BOOKMARKED
carrerswitch wrote:
Hi,

Could you please explain why modulus of (x+a) means distance from -a to x and not distance from a to x?

Thanks


Hi carrerswitch,

Let me explain the concept with a different example. When we need to find the distance between two numbers, let's say 5 and 2, we write 5 - 2 = 3.

In the same way when we need to find the distance between 5 and -2 we write 5 - (-2) = 5 + 2 = 7.

Now we know that |x| = Distance of x from 0 i.e. | x - 0|.

So, distance of x from a can be written as | x - a|. In the same manner distance of -a from x can be written as | x - (-a)| = |x + a|

Hope this helps :)

Regards
Harsh
_________________












| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Kudos [?]: 2230 [2], given: 123

Expert Post
1 KUDOS received
SVP
SVP
User avatar
G
Joined: 08 Jul 2010
Posts: 1857

Kudos [?]: 2396 [1], given: 51

Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: The absolute value of (x + a) will be the greatest if x is the coordin [#permalink]

Show Tags

New post 01 Jul 2015, 06:43
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
EgmatQuantExpert wrote:
Image

The absolute value of (x + a) will be the greatest if x is the coordinate of which of the five points P, Q, R, S and T on the number line above?
(A) P
(B) Q
(C) R
(D) S
(E) T


For maximum Absolute value of (x + a)

1) Sign of both x and a must be same i.e. either both must be positive or both must be negative i.e. both x and a must be on the same side on Number Line

2) We need to pick the the highest value of a or x and both a and x must be farthest from Zero so that their absolute values are maximum.

The figure says it all that both conditions are satisfied when the value of x is taken at Point T (Farthest from Zero) and we can observe that a is positive (being towards the right of Zero on Number Line)

Answer: Option E
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Kudos [?]: 2396 [1], given: 51

Intern
Intern
avatar
Joined: 01 Aug 2010
Posts: 14

Kudos [?]: [0], given: 41

Re: The absolute value of (x + a) will be the greatest if x is the coordin [#permalink]

Show Tags

New post 02 Jul 2015, 21:31
EgmatQuantExpert wrote:
carrerswitch wrote:
Hi,

Could you please explain why modulus of (x+a) means distance from -a to x and not distance from a to x?

Thanks


Hi carrerswitch,

Let me explain the concept with a different example. When we need to find the distance between two numbers, let's say 5 and 2, we write 5 - 2 = 3.

In the same way when we need to find the distance between 5 and -2 we write 5 - (-2) = 5 + 2 = 7.

Now we know that |x| = Distance of x from 0 i.e. | x - 0|.

So, distance of x from a can be written as | x - a|. In the same manner distance of -a from x can be written as | x - (-a)| = |x + a|

Hope this helps :)

Regards
Harsh


Thanks Harsh. It did help. :)

Kudos [?]: [0], given: 41

Manager
Manager
User avatar
B
Joined: 24 Aug 2016
Posts: 68

Kudos [?]: 19 [0], given: 24

Location: India
WE: Information Technology (Computer Software)
Re: The absolute value of (x + a) will be the greatest if x is the coordin [#permalink]

Show Tags

New post 19 Sep 2016, 07:39
Image attachment is missing. :roll:
_________________

"If we hit that bullseye, the rest of the dominos will fall like a house of cards. Checkmate."

Kudos [?]: 19 [0], given: 24

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42544

Kudos [?]: 135259 [0], given: 12679

Re: The absolute value of (x + a) will be the greatest if x is the coordin [#permalink]

Show Tags

New post 19 Sep 2016, 07:42

Kudos [?]: 135259 [0], given: 12679

Manager
Manager
User avatar
B
Joined: 24 Aug 2016
Posts: 68

Kudos [?]: 19 [0], given: 24

Location: India
WE: Information Technology (Computer Software)
Re: The absolute value of (x + a) will be the greatest if x is the coordin [#permalink]

Show Tags

New post 19 Sep 2016, 07:54
Bunuel wrote:
0ld wrote:
Image attachment is missing. :roll:


Check now. It should be visible now.



Thank you. That was fast. :shock: : :-D
_________________

"If we hit that bullseye, the rest of the dominos will fall like a house of cards. Checkmate."

Kudos [?]: 19 [0], given: 24

Intern
Intern
avatar
B
Joined: 23 Oct 2017
Posts: 5

Kudos [?]: 0 [0], given: 1

Re: The absolute value of (x + a) will be the greatest if x is the coordin [#permalink]

Show Tags

New post 09 Dec 2017, 08:58
|x+a| = |x-(-a)|
The point which lies farthest from the point x= -a on the number line.
Thus its point T.

Kudos [?]: 0 [0], given: 1

Re: The absolute value of (x + a) will be the greatest if x is the coordin   [#permalink] 09 Dec 2017, 08:58
Display posts from previous: Sort by

The absolute value of (x + a) will be the greatest if x is the coordin

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


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

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

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®.