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

It is currently 23 May 2019, 22:50

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

If a, b, and c are positive, is a > b?

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

Hide Tags

 
Manager
Manager
User avatar
G
Joined: 08 Sep 2017
Posts: 77
Location: Colombia
GMAT 1: 710 Q49 V39
GMAT ToolKit User Reviews Badge
If a, b, and c are positive, is a > b?  [#permalink]

Show Tags

New post 20 Oct 2018, 15:13
2
3
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

46% (01:50) correct 54% (01:54) wrong based on 128 sessions

HideShow timer Statistics

If a, b, and c are positive, is a > b?


(1) \(\frac{a}{(b+c)}>\frac{b}{(a+c)}\)

(2) \(b+c < a\)

_________________
Kudos please if you liked my post


Thanks!
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7685
Re: If a, b, and c are positive, is a > b?  [#permalink]

Show Tags

New post 20 Oct 2018, 19:31
1
If a, b, and c are positive, is a>b?

(1) \(\frac{a}{(b+c)}>\frac{b}{(a+c)}\)
Since you have one term in numerator and the other two terms in denominator, add 1 to both sides to get all three on top...
\(\frac{a}{(b+c)}+1>\frac{b}{(a+c)}+1\)...
\(\frac{a+b+c}{(b+c)}>\frac{b+a+c}{(a+c)}\)
Now numerators are equal, so LHS >RHS when the denominator is lesser..
So b+c<a+c......or b<a
Sufficient

(2) \(b+c < a\)
All three a,b and c are positive, and a is GREATER than sum of other two , a has to be the largest..
So a>b
Sufficient

D
_________________
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2931
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: If a, b, and c are positive, is a > b?  [#permalink]

Show Tags

New post 20 Oct 2018, 21:58
dimmak wrote:
If a, b, and c are positive, is a>b?

(1) \(\frac{a}{(b+c)}>\frac{b}{(a+c)}\)
(2) \(b+c < a\)



Statement 1: \(\frac{a}{(b+c)}>\frac{b}{(a+c)}\)

Cross multiplying
\(a*(a+c) > b*(b+c)\)
i.e. \(a^2 + ac > b^2 + bc\)

Since a, b and c are positive so if a^2 > b^2 then ac will also be greater than bc and vice-versa
i.e. for the condition to be true

a > b

SUFFICIENT

Statement 2: \(b+c < a\)

i.e. since b + another positive number is less than a then b is definitely less than a hence

SUFFICIENT

Answer: Option D
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
CEO
CEO
User avatar
P
Joined: 18 Aug 2017
Posts: 3522
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: If a, b, and c are positive, is a > b?  [#permalink]

Show Tags

New post 20 Oct 2018, 23:09
If a, b, and c are positive, is a>b?

(1) a(b+c)>b(a+c)a(b+c)>b(a+c)
(2) b+c<a

From statement 1:
a^2+ac>b^2+bc
a(a+c)>b(b+c)
a/b>{(b+c)/(a+c)}---(1)

Since given that all are + ve and from (1) it can be deduced that a>b , hence true..

For statement 2

given a>b+c

since all are + ve numbers so from the given the expression it can be concluded that a>b ...

Hence D is right option..
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Manager
Manager
avatar
G
Joined: 10 Oct 2018
Posts: 177
Location: United States
GPA: 4
WE: Human Resources (Human Resources)
Re: If a, b, and c are positive, is a > b?  [#permalink]

Show Tags

New post 08 Nov 2018, 07:35
chetan2u Is there any other way to solve Statement 2?

Can plugging in numbers help in solving such questions?
_________________
Kudos OK Please!!
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7685
Re: If a, b, and c are positive, is a > b?  [#permalink]

Show Tags

New post 08 Nov 2018, 18:49
topper97 wrote:
chetan2u Is there any other way to solve Statement 2?

Can plugging in numbers help in solving such questions?



You can plug any numbers you will get your number ...
But statement II is a very straight forward choice to infer a>b..

Since all three are positive and a is GREATER than SUM of other two , a has to be greater than each one of them too...
If B is 4 and c is 7, a>4+7 or a>11, so a>4 hence a>b
_________________
Director
Director
avatar
G
Joined: 19 Oct 2013
Posts: 514
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
GMAT ToolKit User
Re: If a, b, and c are positive, is a > b?  [#permalink]

Show Tags

New post 09 Nov 2018, 00:39
dimmak wrote:
If a, b, and c are positive, is a > b?


(1) \(\frac{a}{(b+c)}>\frac{b}{(a+c)}\)

(2) \(b+c < a\)


Knowing they’re all positive we can cross multiply the first statement.

It becomes a (a+c) > b (b+c)

Given that we are adding the same constant c to both sides. We know a is larger than b

The second statement 2)

a > b + c

If a is larger than the sum of both and the numbers are positive then a > b

Sufficient

D

Posted from my mobile device
GMAT Club Bot
Re: If a, b, and c are positive, is a > b?   [#permalink] 09 Nov 2018, 00:39
Display posts from previous: Sort by

If a, b, and c are positive, is a > b?

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.