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

It is currently 17 Oct 2019, 10:55

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

Is m > n?

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58402
Is m > n?  [#permalink]

Show Tags

New post 18 Jun 2015, 02:42
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

60% (01:19) correct 40% (00:59) wrong based on 137 sessions

HideShow timer Statistics

Manager
Manager
User avatar
Joined: 13 May 2011
Posts: 177
Concentration: Strategy, Technology
GMAT 1: 750 Q49 V42
GPA: 3.2
WE: Accounting (Consulting)
GMAT ToolKit User Reviews Badge
Re: Is m > n?  [#permalink]

Show Tags

New post 18 Jun 2015, 07:34
2
(1) n /m < 1
It's important to remember that as we don't know if m is positive or negative, we can't multiply by it in an inequality.
e.g. is you multiply, then n < m, but if n = 2, m = -2, then we get 2 < -2, which is incorrect, when you multiply by a negative the sign should be flipped, but we don't know if we should flip it if we don't have any info on the sign of denominator m.
So, let's plug values: n = 1, m =2, then m>n. (1/2 = 0,5 < 1)
But, if we plug n=1, m = -2, then n>m. (1/-2 = -0,5 <1)
Not sufficient.

(2) n > 0
No info on m. Not sufficient.

(1) & (2) Together
The second statement does not help to resolve the problem we encountered in Statement 1. Not sufficient.

Answer
_________________

Stay positive! ^.^


My blog - http://www.mbafortech.com
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: Is m > n?  [#permalink]

Show Tags

New post 18 Jun 2015, 07:57
Bunuel wrote:
Is m > n?

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

Kudos for a correct solution.


Question : Is m > n?

Statement 1: n/m < 1

@n=-1, m could be 1 i.e. m > n
@n=1, m could be -1 i.e. m < n

Hence, NOT SUFFICIENT

Statement 2: n > 0

No information about m
Hence, NOT SUFFICIENT

Combining the Two statements
n > 0 and n/m < 1

@n=1, m could be -1 i.e. m < n
@n=1, m could be 2 i.e. m > n

Hence, NOT SUFFICIENT

Answer: option
_________________
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
Intern
Intern
User avatar
Joined: 10 Oct 2013
Posts: 36
Location: India
Concentration: Technology, Entrepreneurship
GMAT 1: 700 Q49 V35
GMAT 2: 750 Q51 V40
GPA: 3.85
WE: Research (Telecommunications)
GMAT ToolKit User
Re: Is m > n?  [#permalink]

Show Tags

New post 18 Jun 2015, 18:51
Say I've decided that A, B are out, each is not sufficient.

Combining,
\(\frac{n}{m} < 1 means \frac{m}{n}> 1\)
So,
\(\frac{(m-n)}{n} >0\)

If it's given that n > 0 (Combining B)
(m-n)> 0. So, m > n

So I implied

Am I missing anything?
_________________
Intern
Intern
avatar
Joined: 29 Mar 2015
Posts: 44
Location: United States
GMAT ToolKit User Reviews Badge
Is m > n?  [#permalink]

Show Tags

New post Updated on: 19 Jun 2015, 00:07
Bunuel wrote:
Is m > n?

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

Kudos for a correct solution.


1: if m > 0, n < m. If m < 0, n > m. So insufficient.
2: Insufficient, tells nothing about m.

Together: insufficient. m can still be negative or positive. For example, n = 4, m = 8, m > n. But if n = 4, m = -8, n/m < 1 and n > m. Answer is E.



aardvark wrote:
\(\frac{n}{m} < 1 means \frac{m}{n}> 1\)

That assumes that m and n have the same sign (since you are multiplying both sides by m/n). If they have opposite signs (so m/n < 0), you have to change the inequality.

Originally posted by bluesquare on 19 Jun 2015, 00:05.
Last edited by bluesquare on 19 Jun 2015, 00:07, edited 1 time in total.
Manager
Manager
User avatar
Joined: 13 May 2011
Posts: 177
Concentration: Strategy, Technology
GMAT 1: 750 Q49 V42
GPA: 3.2
WE: Accounting (Consulting)
GMAT ToolKit User Reviews Badge
Re: Is m > n?  [#permalink]

Show Tags

New post 19 Jun 2015, 00:06
aardvark wrote:
Say I've decided that A, B are out, each is not sufficient.

Combining,
\(\frac{n}{m} < 1 means \frac{m}{n}> 1\)
So,
\(\frac{(m-n)}{n} >0\)

If it's given that n > 0 (Combining B)
(m-n)> 0. So, m > n

So I implied

Am I missing anything?


You can't take reciprocal if you don't know the sign. If m = 2 and n = 1, then \(\frac{1}{2}<1\), and \(\frac{2}{1}> 1\), but if m=-2 and n = 1, then \(\frac{1}{-2} < 1\), and \(\frac{-2}{1} < 1\).
Sign changes only if both are either negative or positive.
_________________

Stay positive! ^.^


My blog - http://www.mbafortech.com
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58402
Re: Is m > n?  [#permalink]

Show Tags

New post 22 Jun 2015, 05:55
Bunuel wrote:
Is m > n?

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

Kudos for a correct solution.


MANHATTAN GMAT OFFICIAL SOLUTION:

(1) INSUFFICIENT. It is tempting to cross multiply to get n < m. However, we don't know whether m is positive, so we don't know whether to flip the sign.

(2) INSUFFICIENT. This statement tells us nothing about m.

(1) & (2) INSUFFICIENT. The fact that n is positive does not tell us whether m is positive. For example, it is possible than n = 2 and m = –1. It is also possible that n = 2 and m = 3. Either of these scenarios would fit Statements (1) and (2) but yield different answers to the question.

The correct answer is E.
_________________
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13242
Re: Is m > n?  [#permalink]

Show Tags

New post 25 Mar 2018, 01:41
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: Is m > n?   [#permalink] 25 Mar 2018, 01:41
Display posts from previous: Sort by

Is m > n?

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne