Last visit was: 26 Apr 2026, 04:04 It is currently 26 Apr 2026, 04:04
Home
Messages
Tests
Schools
Events
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
GMATBusters
User avatar
GMAT Tutor
Joined: 27 Oct 2017
Last visit: 23 Apr 2026
Posts: 1,922
Own Kudos:
6,860
 [1]
Given Kudos: 241
WE:General Management (Education)
Expert
Expert reply
Posts: 1,922
Kudos: 6,860
 [1]
Is m < 5 < n? 16 Apr 2020, 11:41
Kudos
Add Kudos
1
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:

85% (hard)

Question Stats:

31% (01:56) correct 69% (02:04) wrong based on 48 sessions

History

Date
Time
Result
Not Attempted Yet
Is \(m < 5 < n?\)

(1) \(m < n\) and \(mn = 25\)
(2) \(m^2 < 25 < n^2\)


GMATBusters Collection
ShowHide Answer
Official Answer
C
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 26 Apr 2026
Posts: 6,977
Own Kudos:
16,921
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
My Reviews
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,977
Kudos: 16,921
Is m < 5 < n? 16 Apr 2020, 19:18
Kudos
Add Kudos
Bookmarks
Bookmark this Post
GMATBusters
Is \(m < 5 < n?\)

(1) \(m < n\) and \(mn = 25\)
(2) \(m^2 < 25 < n^2\)
Show more

Question: Is \(m < 5 < n?\)?

Statement 1: m < n and mn = 25

m and n both could be 5 i.e. answer to question is NO
m=1 and n = 25 is possible i.e answer to question is Yes

NOT SUFFICIENT

Statement 2: \(m^2 < 25 < n^2\)

If n^2 > 25

then n > 5 (Yes) or n < -5 (No) hence

NOT SUFFICIENT

Combining the statements

Statement 2 delivers lml < 5 < lnl
Statement 1 Delivers m < n and mn = 25

Now, Because lml < lnl and m < n therefore the sign of both m and n must be same and must be positive

For positive values 5*5 = 25

But since m < n so n must be greater than 5 and m must be less than 5 (answer to the question YES)

SUFFICIENT

Answer: Option C
User avatar
yashikaaggarwal
User avatar
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Last visit: 29 Mar 2026
Posts: 3,088
Own Kudos:
3,158
Given Kudos: 1,510
Location: India
Schools: Cranfield (A) Warwick MiM "23 (M)
GPA: 4
WE:Analyst (Internet and New Media)
Schools: Cranfield (A) Warwick MiM "23 (M)
Posts: 3,088
Kudos: 3,158
Is m < 5 < n? 16 Apr 2020, 20:57
Kudos
Add Kudos
Bookmarks
Bookmark this Post
GMATinsight
GMATBusters
Is \(m < 5 < n?\)

(1) \(m < n\) and \(mn = 25\)
(2) \(m^2 < 25 < n^2\)

Question: Is \(m < 5 < n?\)?

Statement 1: m < n and mn = 25

m and n both could be 5 i.e. answer to question is NO
m=1 and n = 25 is possible i.e answer to question is Yes

NOT SUFFICIENT

Statement 2: \(m^2 < 25 < n^2\)

If n^2 > 25

then n > 5 (Yes) or n < -5 (No) hence

NOT SUFFICIENT

Combining the statements

Statement 2 delivers lml < 5 < lnl
Statement 1 Delivers m < n and mn = 25

Now, Because lml < lnl and m < n therefore the sign of both m and n must be same and must be positive

For positive values 5*5 = 25

But since m < n so n must be greater than 5 and m must be less than 5 (answer to the question YES)

SUFFICIENT

Answer: Option C
Show more

Sir, if n is more than 5 and m is less than 5. How can their product be 25?
Can you please elaborate.
Thank you.

Posted from my mobile device
User avatar
GMATBusters
User avatar
GMAT Tutor
Joined: 27 Oct 2017
Last visit: 23 Apr 2026
Posts: 1,922
Own Kudos:
6,860
 [1]
Given Kudos: 241
WE:General Management (Education)
Expert
Expert reply
Posts: 1,922
Kudos: 6,860
 [1]
Is m < 5 < n? 16 Apr 2020, 21:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Example : 1*25 = 25 OR 1/4 *100 = 25
yashikaaggarwal
GMATinsight
GMATBusters
Is \(m < 5 < n?\)

(1) \(m < n\) and \(mn = 25\)
(2) \(m^2 < 25 < n^2\)

Question: Is \(m < 5 < n?\)?

Statement 1: m < n and mn = 25

m and n both could be 5 i.e. answer to question is NO
m=1 and n = 25 is possible i.e answer to question is Yes

NOT SUFFICIENT

Statement 2: \(m^2 < 25 < n^2\)

If n^2 > 25

then n > 5 (Yes) or n < -5 (No) hence

NOT SUFFICIENT

Combining the statements

Statement 2 delivers lml < 5 < lnl
Statement 1 Delivers m < n and mn = 25

Now, Because lml < lnl and m < n therefore the sign of both m and n must be same and must be positive

For positive values 5*5 = 25

But since m < n so n must be greater than 5 and m must be less than 5 (answer to the question YES)

SUFFICIENT

Answer: Option C

Sir, if n is more than 5 and m is less than 5. How can their product be 25?
Can you please elaborate.
Thank you.

Posted from my mobile device
Show more
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 26 Apr 2026
Posts: 11,229
Own Kudos:
45,021
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,229
Kudos: 45,021
Is m < 5 < n? 16 Apr 2020, 21:08
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Is \(m < 5 < n?\)

(1) \(m < n\) and \(mn = 25\)
Now mn=5*5=25, but m<n, so as m goes below 5, n goes above 5....m<5<n.....Example mn=2.5*10......Yes
Also mn=-5*-5=25, but m<n, so as m goes below -5, n goes above -5....m<-5<n.....Example mn=(-10)*(-2.5)...NO
Insuff

(2) \(m^2 < 25 < n^2\)
a) \(m^2<25.......-5<m<5\)
b) \(n^2>25.......n>5 .. n<-5\)
So we cannot say anything about n...Insuff

Combined..
From (2), we know -5<m<5, and from (1) in such cases we get n>5
Suff

C
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 26 Apr 2026
Posts: 6,977
Own Kudos:
16,921
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
My Reviews
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,977
Kudos: 16,921
Is m < 5 < n? 16 Apr 2020, 21:21
Kudos
Add Kudos
Bookmarks
Bookmark this Post
yashikaaggarwal
GMATinsight
GMATBusters
Is \(m < 5 < n?\)

(1) \(m < n\) and \(mn = 25\)
(2) \(m^2 < 25 < n^2\)

Question: Is \(m < 5 < n?\)?

Statement 1: m < n and mn = 25

m and n both could be 5 i.e. answer to question is NO
m=1 and n = 25 is possible i.e answer to question is Yes

NOT SUFFICIENT

Statement 2: \(m^2 < 25 < n^2\)

If n^2 > 25

then n > 5 (Yes) or n < -5 (No) hence

NOT SUFFICIENT

Combining the statements

Statement 2 delivers lml < 5 < lnl
Statement 1 Delivers m < n and mn = 25

Now, Because lml < lnl and m < n therefore the sign of both m and n must be same and must be positive

For positive values 5*5 = 25

But since m < n so n must be greater than 5 and m must be less than 5 (answer to the question YES)

SUFFICIENT

Answer: Option C

Sir, if n is more than 5 and m is less than 5. How can their product be 25?
Can you please elaborate.
Thank you.

Posted from my mobile device
Show more

Hi yashikaaggarwal
I think you are thinking primarily about integers only. Where in this question we can take integers values such as 1 and 25 for m and n respectively, you must be ready to take values in fractions too because question doesn't specify the variables are integers.

SUch flexibility in though process allows you to avoid many errors specially in Algebra. :) :thumbsup:

All the best!
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 25 Apr 2026
Posts: 8,630
Own Kudos:
5,191
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Club Tests Forum Quiz
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,630
Kudos: 5,191
Is m < 5 < n? 16 Apr 2020, 21:27
Kudos
Add Kudos
Bookmarks
Bookmark this Post
#1 m<n and mn=25 it can be 1/4*100 or -100*-1/4 insufficient
#2 m^2<25<n^2 m and n can be - & + integers so insufficient
From 1&2 m=1/4 and n=100 i e both m &n have to be +ve and m has to be a fraction and n an integer
so OPTION C
:)


GMATBusters
Is \(m < 5 < n?\)

(1) \(m < n\) and \(mn = 25\)
(2) \(m^2 < 25 < n^2\)


GMATBusters Collection
Show more

Posted from my mobile device
Moderators:
Bunuel
Math Expert
109832 posts
kingbucky
498 posts
Gmat860sanskar
212 posts