Last visit was: 19 Nov 2025, 08:14 It is currently 19 Nov 2025, 08:14
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 Nov 2025
Posts: 105,389
Own Kudos:
778,264
 [7]
Given Kudos: 99,977
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 105,389
Kudos: 778,264
 [7]
Is m/(n^2+1) > n/(m^2+2)? (1) m = n (2) n < 0 06 Jan 2020, 07:12
Kudos
Add Kudos
7
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

45% (medium)

Question Stats:

63% (01:57) correct 37% (01:23) wrong based on 101 sessions

History

Date
Time
Result
Not Attempted Yet
Is \(\frac{m}{n^2+1} > \frac{n}{m^2+2}\)?

(1) \(m = n\)
(2) \(n < 0\)

Are You Up For the Challenge: 700 Level Questions
ShowHide Answer
Official Answer
C
User avatar
satya2029
User avatar
Joined: 10 Dec 2017
Last visit: 29 Sep 2025
Posts: 231
Own Kudos:
249
Given Kudos: 138
Location: India
Posts: 231
Kudos: 249
Is m/(n^2+1) > n/(m^2+2)? (1) m = n (2) n < 0 Updated on: 06 Jan 2020, 14:09
Originally posted by satya2029 on 06 Jan 2020, 07:46.
Last edited by satya2029 on 06 Jan 2020, 14:09, edited 1 time in total.
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Is \(\frac{m}{n^2+1} > \frac{n}{m^2+2}\)?

(1) \(m = n\)
(2) \(n < 0\)

Are You Up For the Challenge: 700 Level Questions
Show more
From 1
m=n=0
0>0 NO
m=n=1
1/2>1/3 YES
From 2
n<0
no information about m
FROM 1 AND 2
m=n=-1 NO
m=n=-1/2 YES
E:)
avatar
avirup2018
avatar
Joined: 05 Nov 2015
Last visit: 24 Nov 2021
Posts: 13
Own Kudos:
1
Given Kudos: 69
Posts: 13
Kudos: 1
Is m/(n^2+1) > n/(m^2+2)? (1) m = n (2) n < 0 06 Jan 2020, 13:39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Why are u assuming m when nothing is said about m only thing is said is about n<0....

Posted from my mobile device
avatar
avirup2018
avatar
Joined: 05 Nov 2015
Last visit: 24 Nov 2021
Posts: 13
Own Kudos:
1
Given Kudos: 69
Posts: 13
Kudos: 1
Is m/(n^2+1) > n/(m^2+2)? (1) m = n (2) n < 0 06 Jan 2020, 13:42
Kudos
Add Kudos
Bookmarks
Bookmark this Post
satya2029
Bunuel
Is \(\frac{m}{n^2+1} > \frac{n}{m^2+2}\)?

(1) \(m = n\)
(2) \(n < 0\)

Are You Up For the Challenge: 700 Level Questions
From 1
m=n=0
0>0 NO
m=n=1
1/2>1/3 YES
From 2
m=n=-1
-1/2>-1/3 NO
m=5 n =-1/2
5/2>-1/27 YES
m=n=-1/2
1/5>1/9 YES
FROM 1 AND 2
m=n=-1 NO
m=n=-1/2 YES
E:)
Show more


Not satisfactory for B if we use N<0 then one part simply becomes negative....no point in assuming m

Posted from my mobile device
User avatar
satya2029
User avatar
Joined: 10 Dec 2017
Last visit: 29 Sep 2025
Posts: 231
Own Kudos:
249
Given Kudos: 138
Location: India
Posts: 231
Kudos: 249
Is m/(n^2+1) > n/(m^2+2)? (1) m = n (2) n < 0 06 Jan 2020, 13:46
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avirup2018
Why are u assuming m when nothing is said about m only thing is said is about n<0....

Posted from my mobile device
Show more

Just to observe each and every case. In this way you actually test statement 1 within statement 2.
User avatar
aalalal
User avatar
Joined: 17 Apr 2019
Last visit: 18 Nov 2025
Posts: 20
Own Kudos:
3
Given Kudos: 18
Location: Azerbaijan
Schools: Tuck '26 (D)
Schools: Tuck '26 (D)
Posts: 20
Kudos: 3
Is m/(n^2+1) > n/(m^2+2)? (1) m = n (2) n < 0 06 Jan 2020, 14:45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I think together it makes sense, say n=-1=m, then always, first half < second half. Sufficient to answer the questions.
avatar
shiva1325
avatar
Joined: 30 Nov 2019
Last visit: 28 Nov 2021
Posts: 17
Own Kudos:
10
Given Kudos: 18
Posts: 17
Kudos: 10
Is m/(n^2+1) > n/(m^2+2)? (1) m = n (2) n < 0 06 Jan 2020, 21:36
Kudos
Add Kudos
Bookmarks
Bookmark this Post
first consider statement 1 alone:
given m=n
if we substitute we get
m/(m^2+1)>m/(m^2+2)
we can observe that denominator of LHS is lesser than denominator of RHS
but we dont know whether m>0 or m<0
so there is no unique answer.

Now consider statement 2 alone:
given n<0
here we do not have definite relationship between m,n
and also we no nothing about m
hence no unique answer.

Now consider both statements together:
m=n and n<0 implies m<0
substituting we get
m/(m^2+1)>m/(m^2+2)
since we know that m<0
we get unique answer

hence answer is C
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,588
Own Kudos:
1,079
Posts: 38,588
Kudos: 1,079
Is m/(n^2+1) > n/(m^2+2)? (1) m = n (2) n < 0 29 Jan 2022, 03:25
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderators:
Bunuel
Math Expert
105389 posts
kingbucky
496 posts