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

It is currently 13 Oct 2019, 15:43

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

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

Find Similar Topics 
Retired Moderator
avatar
D
Joined: 25 Feb 2013
Posts: 1182
Location: India
GPA: 3.82
GMAT ToolKit User Reviews Badge
Consider three distinct positive integers a, b, c all less than 100  [#permalink]

Show Tags

New post 01 Dec 2017, 11:10
1
7
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

60% (01:59) correct 40% (02:25) wrong based on 115 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
Most Helpful Community Reply
Current Student
avatar
S
Joined: 22 Apr 2017
Posts: 106
Location: India
GMAT 1: 620 Q46 V30
GMAT 2: 620 Q47 V29
GMAT 3: 630 Q49 V26
GMAT 4: 690 Q48 V35
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, 11:26
4
3
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.
General Discussion
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13076
Re: Consider three distinct positive integers a, b, c all less than 100  [#permalink]

Show Tags

New post 03 Feb 2019, 23:32
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.
_________________
GMAT Club Bot
Re: Consider three distinct positive integers a, b, c all less than 100   [#permalink] 03 Feb 2019, 23:32
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  





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