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

 It is currently 16 Oct 2019, 05:27

### 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

# If a > b > c, then all of the following could be true EXCEPT b + c < a

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58384
If a > b > c, then all of the following could be true EXCEPT b + c < a  [#permalink]

### Show Tags

14 Jan 2019, 02:40
00:00

Difficulty:

45% (medium)

Question Stats:

63% (01:40) correct 37% (01:34) wrong based on 64 sessions

### HideShow timer Statistics

If a > b > c, then all of the following could be true EXCEPT

A. b + c < a
B. 2a > b + c
C. 2c > a + b
D. ab > bc
E. a + b > 2b + c

_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5005
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
If a > b > c, then all of the following could be true EXCEPT b + c < a  [#permalink]

### Show Tags

Updated on: 14 Jan 2019, 04:53
Bunuel wrote:
If a > b > c, then all of the following could be true EXCEPT

A. b + c < a
B. 2a > b + c
C. 2c > a + b
D. ab > bc
E. a + b > 2b + c

plugin for values 1,0,-1 and 10,8,1

only option c sufficies
IMO C

Originally posted by Archit3110 on 14 Jan 2019, 02:50.
Last edited by Archit3110 on 14 Jan 2019, 04:53, edited 1 time in total.
Senior Manager
Joined: 13 Jan 2018
Posts: 342
Location: India
Concentration: Operations, General Management
GMAT 1: 580 Q47 V23
GMAT 2: 640 Q49 V27
GPA: 4
WE: Consulting (Consulting)
Re: If a > b > c, then all of the following could be true EXCEPT b + c < a  [#permalink]

### Show Tags

14 Jan 2019, 04:51
If a > b > c,

consider 8 > 2 > 1, where a = 8, b = 2, c =1

A. b + c < a => 3 < 8 TRUE
B. 2a > b + c => 16 > 3 TRUE
C. 2c > a + b => 2 > 10 FALSE
D. ab > bc => 16 > 2 TRUE
E. a + b > 2b + c => 10 > 5 TRUE

Except for option C, all other can be true at least once.

OPTION: C
_________________
____________________________
Regards,

Chaitanya

+1 Kudos

if you like my explanation!!!
Intern
Joined: 26 Dec 2018
Posts: 7
Re: If a > b > c, then all of the following could be true EXCEPT b + c < a  [#permalink]

### Show Tags

14 Jan 2019, 06:53
eswarchethu135 wrote:
If a > b > c,

consider 8 > 2 > 1, where a = 8, b = 2, c =1

A. b + c < a => 3 < 8 TRUE
B. 2a > b + c => 16 > 3 TRUE
C. 2c > a + b => 2 > 10 FALSE
D. ab > bc => 16 > 2 TRUE
E. a + b > 2b + c => 10 > 5 TRUE

Except for option C, all other can be true at least once.

OPTION: C

Couldn’t you pick negative numbers and this fall apart?

Posted from my mobile device
Re: If a > b > c, then all of the following could be true EXCEPT b + c < a   [#permalink] 14 Jan 2019, 06:53
Display posts from previous: Sort by