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

 It is currently 22 Jul 2018, 19:05

### 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

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

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

Author Message
TAGS:

### Hide Tags

PS Forum Moderator
Joined: 25 Feb 2013
Posts: 1183
Location: India
GPA: 3.82
Consider three distinct positive integers a, b, c all less than 100  [#permalink]

### Show Tags

01 Dec 2017, 11:10
1
4
00:00

Difficulty:

65% (hard)

Question Stats:

59% (01:56) correct 41% (02:04) wrong based on 76 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
Manager
Joined: 22 Apr 2017
Posts: 113
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
Re: Consider three distinct positive integers a, b, c all less than 100  [#permalink]

### Show Tags

01 Dec 2017, 11:26
3
2
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.
Re: Consider three distinct positive integers a, b, c all less than 100 &nbs [#permalink] 01 Dec 2017, 11:26
Display posts from previous: Sort by

# Events & Promotions

 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®.