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

 It is currently 18 Apr 2019, 05:37

### 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

# If a > b and c < a, which of the following must be true?

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 54367
If a > b and c < a, which of the following must be true?  [#permalink]

### Show Tags

07 Sep 2017, 23:09
00:00

Difficulty:

45% (medium)

Question Stats:

56% (01:19) correct 44% (01:23) wrong based on 117 sessions

### HideShow timer Statistics

If a > b and c < a, which of the following must be true?

I. a > b > c
II. 2a > b + c
III. a^2 > bc

A. I only
B. II only
C. III only
D. II and III only
E. I, II, and III

_________________
Manager
Joined: 12 Feb 2017
Posts: 70
If a > b and c < a, which of the following must be true?  [#permalink]

### Show Tags

Updated on: 07 Sep 2017, 23:43
1
Given
a>b ---(1)
a>c ---(2)

I. a > b > c
lets consider a=5 b=2 and c=3
a>b-- true a>c-- true
but a>b>c -- not always true
Hence I is out.

II. 2a > b + c
add (1) and (2)
a+a>b+c
2a>b+c
hence true

III. a^2 > bc
lets consider (A) a=5 b=2 and c=3
a^2=25 and b*c= 6
(B) a= -6 , b=-7, c=-9
a^2=36 and b*c= 63
Not always true

Hence Answer is only II Option B

Kudos if it helps

Originally posted by pushkarajnjadhav on 07 Sep 2017, 23:19.
Last edited by pushkarajnjadhav on 07 Sep 2017, 23:43, edited 3 times in total.
Current Student
Joined: 18 Aug 2016
Posts: 619
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Re: If a > b and c < a, which of the following must be true?  [#permalink]

### Show Tags

07 Sep 2017, 23:31
1
Bunuel wrote:
If a > b and c < a, which of the following must be true?

I. a > b > c
II. 2a > b + c
III. a^2 > bc

A. I only
B. II only
C. III only
D. II and III only
E. I, II, and III

let (a,b,c) be (-5, -6, -6) then
only II follows
B
_________________
We must try to achieve the best within us

Thanks
Luckisnoexcuse
Intern
Joined: 31 Aug 2017
Posts: 7
Re: If a > b and c < a, which of the following must be true?  [#permalink]

### Show Tags

08 Sep 2017, 00:10
Bunuel wrote:
If a > b and c < a, which of the following must be true?

I. a > b > c
II. 2a > b + c
III. a^2 > bc

A. I only
B. II only
C. III only
D. II and III only
E. I, II, and III

a>b
a>c
b,c not sure which one is bigger
Option I out

Adding inequalities
Option II is correct

Multiplying inequalities only when both sides are positive. In this case, unclear.
Option III is out.

The answer is A
Re: If a > b and c < a, which of the following must be true?   [#permalink] 08 Sep 2017, 00:10
Display posts from previous: Sort by

# If a > b and c < a, which of the following must be true?

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

 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®.