If m>0 and n >0, is ((m+x)/(n+x)) > (m/n)

Oldest

Best Reply

Author

Message

TAGS:

SVP

Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL

Joined: 04 Oct 2009

Posts: 1746

Location: Peru

Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)

WE 1: Economic research

WE 2: Banking

WE 3: Government: Foreign Trade and SMEs

Followers: 49

Kudos [?]: 150 [0], given: 108

If m>0 and n >0, is ((m+x)/(n+x)) > (m/n) [#permalink]

09 Mar 2010, 20:49

00:00

Question Stats:

0% (00:00) correct

0% (00:00) wrong

based on 0 sessions

Hi, please your help with the following question:

If m>0 and n >0, is ((m+x)/(n+x)) > (m/n)

(1) m<n
(2) x>0

Thanks!
_________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can."

My Integrated Reasoning Logbook / Diary: my-ir-logbook-diary-133264.html

Find out what's new at GMAT Club - latest features and updates

Manhattan Review Test Prep & Admissions

Joined: 10 Jan 2010

Posts: 4

Location: Singapore

Followers: 1

Kudos [?]: 1 [0], given: 0

Re: Algebra question [#permalink]

09 Mar 2010, 21:39

I say C

First we look at statement 1, and choose some numbers to plug in and test.
2 for M, and 3 for N.
If we plug in 2 for X, then 4/5 > 2/3
If we plug in -2 for X, then 0/1 < 2/3
Since it can't be solved we cross out A and D

Then we look at statement 2, and choose some numbers to plug in and test.
I've kept X as 2
If M=2 and N=3 then it works as 4/5 > 2/3
But remember to forget statement 1
What if M=3 and N=2, then 5/4 < 3/2
So B doesn't work either.

However if you combine the 2 statements together you see that you do have enough information to solve, therefore the answer is C. Hope that was helpful. And feel free to visit gmat.sg for additional help on your GMAT preparation.
_________________

William | Manhattan Review Singapore - Your MBA Total Solution - GMAT Prep & MBA Admissions | +65 31 06 20 69

Manager

Joined: 26 May 2005

Posts: 217

Followers: 1

Kudos [?]: 42 [0], given: 1

Re: Algebra question [#permalink]

10 Mar 2010, 00:17

metallicafan wrote:

Hi, please your help with the following question:

If m>0 and n >0, is ((m+x)/(n+x)) > (m/n)

(1) m<n
(2) x>0

Thanks!

st 1) m/n is always positive as m and n are both > 0 and as m < n, there is a chance depending on the value of x that m+x could be negative and n+x could be positive or both are positive or both are negative.
m = 4, n = 6, x = - 5 ... NO
NOT sufficient

st 2) x>0
now as all 3 variables are positive, all the expressions in the numerator and denominator are positive and the equation can be reduced to

((m+x)/(n+x)) > (m/n)
(m+x) * n > (n+x) * m
mn + xn > mn + xm
x * (n-m) > 0
either x>0 and n-m > 0 OR x< 0 and n-m<0
x > 0 and we dont know if n>m .
not sufficient

Combining both
we know n>m and x>0 .. so yes

C

Senior Manager

Status: Can't give up

Joined: 20 Dec 2009

Posts: 322

Followers: 2

Kudos [?]: 20 [0], given: 35

Re: Algebra question [#permalink]

10 Mar 2010, 13:29

If m>0 and n >0, is ((m+x)/(n+x)) > (m/n)

(1) m<n
(2) x>0

1.) if m=2 and n=3
((2+x)/(3+x)) > (2/3). x value required = Insuff

2.) using question stem m>0 and n>0 & x>0
when m=2 & n=3 & x=4 = yes
when m=3 & n=2 & x=4 = no

Using (1) & (2) Sufficient. Hence "C"

Re: Algebra question [#permalink] 10 Mar 2010, 13:29

		Similar topics	Author	Replies	Last post
Similar Topics:		If m>0 and n>0, is m+x/n+x > m/n?	ggarr	4	09 Jun 2007, 22:14
		If m>0 and n>0, is (m+x)/(n+x) > m/n? (1) m is less	above720	8	23 Aug 2007, 18:44
		If m > 0 and n > 0, is (m+x)/(n+x) > m/n 1) m <	xALIx	2	22 Jun 2008, 13:33
		If m>0, n>0, is (m+x)/(n+x) > m/n?	viveksharma	4	25 Aug 2008, 03:41
	3	If m > 0 and n > 0, is (m+x)/(n+x) > m/n?	LM	5	10 May 2010, 09:32

If m>0 and n >0, is ((m+x)/(n+x)) > (m/n)

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

If m>0 and n >0, is ((m+x)/(n+x)) > (m/n)

If m>0 and n >0, is ((m+x)/(n+x)) > (m/n)

Main navigation

GMAT Resources

Partners

MBA Resources