It is currently 17 Dec 2017, 15:21

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

Consider three distinct positive integers a, b, c all less than 100

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

Hide Tags

1 KUDOS received
PS Forum Moderator
avatar
P
Joined: 25 Feb 2013
Posts: 633

Kudos [?]: 317 [1], given: 39

Location: India
GPA: 3.82
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Consider three distinct positive integers a, b, c all less than 100 [#permalink]

Show Tags

New post 01 Dec 2017, 10:10
1
This post received
KUDOS
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

59% (02:09) correct 41% (01:35) wrong based on 41 sessions

HideShow timer Statistics

Consider three distinct positive integers \(a\), \(b\), \(c\) all less than \(100\). If \(|a - b| + |b - c| = |c – a|\), what is the maximum value possible for \(b\) ?

A. 95
B. 96
C. 97
D. 98
E. 99

Source: Question Bank
[Reveal] Spoiler: OA

Kudos [?]: 317 [1], given: 39

2 KUDOS received
Manager
Manager
avatar
S
Joined: 22 Apr 2017
Posts: 76

Kudos [?]: 30 [2], given: 59

Location: India
Schools: MBS '20 (S)
GPA: 3.7
GMAT ToolKit User
Re: Consider three distinct positive integers a, b, c all less than 100 [#permalink]

Show Tags

New post 01 Dec 2017, 10:26
2
This post received
KUDOS
1
This post was
BOOKMARKED
niks18 wrote:
Consider three distinct positive integers \(a\), \(b\), \(c\) all less than \(100\). If \(|a - b| + |b - c| = |c – a|\), what is the maximum value possible for \(b\) ?

A. 95
B. 96
C. 97
D. 98
E. 99

Source: Question Bank


|a - b| + |b - c| = |c – a| the equation means that the sum of distance between B & A and C & B is equal to distance between C & A. Which means B is between C & A.

.....0........a...........b..........c . Since the maximum value of C can be 99(1<=A,B,C<100 and distinct), 98 is the maximum value of B.
Hence D.

Kudos [?]: 30 [2], given: 59

Re: Consider three distinct positive integers a, b, c all less than 100   [#permalink] 01 Dec 2017, 10:26
Display posts from previous: Sort by

Consider three distinct positive integers a, b, c all less than 100

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


cron

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®.