Last visit was: 20 Jul 2025, 12:24 It is currently 20 Jul 2025, 12:24
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
Sub 505 Level|   Algebra|                  
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 20 Jul 2025
Posts: 102,633
Own Kudos:
Given Kudos: 98,235
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,633
Kudos: 743,058
 [25]
5
Kudos
Add Kudos
20
Bookmarks
Bookmark this Post
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 20 Jul 2025
Posts: 102,633
Own Kudos:
743,058
 [2]
Given Kudos: 98,235
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,633
Kudos: 743,058
 [2]
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
SOURH7WK
Joined: 15 Jun 2010
Last visit: 03 Aug 2022
Posts: 241
Own Kudos:
Given Kudos: 50
Concentration: Marketing
 Q47  V26 GMAT 2: 540  Q45  V19 GMAT 3: 580  Q48  V23
GPA: 3.2
WE 1: 7 Yrs in Automobile (Commercial Vehicle industry)
Products:
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
fameatop
Joined: 24 Aug 2009
Last visit: 09 Jun 2017
Posts: 383
Own Kudos:
2,442
 [1]
Given Kudos: 275
Concentration: Finance
Schools:Harvard, Columbia, Stern, Booth, LSB,
Posts: 383
Kudos: 2,442
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Reducing Stem we get
n = s + 6
1) s=2--> n=8 ---> Sufficient
2) s=n/4 --->Sufficient

Answer D
User avatar
aditi1903
Joined: 29 Apr 2012
Last visit: 21 Dec 2015
Posts: 53
Own Kudos:
Given Kudos: 47
Location: United States
Concentration: International Business, Real Estate
GMAT Date: 10-22-2012
Posts: 53
Kudos: 205
Kudos
Add Kudos
Bookmarks
Bookmark this Post
IMO D..
each statement alone is sufficient
User avatar
thevenus
Joined: 17 Mar 2010
Last visit: 17 Dec 2024
Posts: 318
Own Kudos:
1,441
 [1]
Given Kudos: 76
Status:Final Countdown
Location: United States (NY)
GPA: 3.82
WE:Account Management (Retail Banking)
Posts: 318
Kudos: 1,441
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
What is the value of n in the equation - 25 + 19 + n = s ?

If we have s known then, we can easily find n.

(1) s = 2--------sufficient
(2) n/s = 4
=> s=n/4------sufficient

Answer : D
User avatar
carcass
User avatar
Board of Directors
Joined: 01 Sep 2010
Last visit: 19 Jul 2025
Posts: 4,730
Own Kudos:
Given Kudos: 4,813
Posts: 4,730
Kudos: 36,211
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
SOLUTION

What is the value of n in the equation - 25 + 19 + n = s ?

(1) s = 2 --> - 25 + 19 + n = 2. We have a linear equation with one unknown, hence we can solve for it. Sufficient.
(2) n/s = 4 --> s=n/4 --> - 25 + 19 + n = n/4. We have a linear equation with one unknown, hence we can solve for it. Sufficient.

Answer: D.

Kudos points given to everyone with correct solution. Let me know if I missed someone.


D straight Bunuel but could someone think about n/s=4 that n and s can be both positive or negative ?? 16/4 = 4 or -16/-4 = 4 so is not safely to cross multiply S ?? or this concern regards questions in which < or > are involved ??'

Thanks
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 20 Jul 2025
Posts: 102,633
Own Kudos:
Given Kudos: 98,235
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,633
Kudos: 743,058
Kudos
Add Kudos
Bookmarks
Bookmark this Post
carcass
Bunuel
SOLUTION

What is the value of n in the equation - 25 + 19 + n = s ?

(1) s = 2 --> - 25 + 19 + n = 2. We have a linear equation with one unknown, hence we can solve for it. Sufficient.
(2) n/s = 4 --> s=n/4 --> - 25 + 19 + n = n/4. We have a linear equation with one unknown, hence we can solve for it. Sufficient.

Answer: D.

Kudos points given to everyone with correct solution. Let me know if I missed someone.


D straight Bunuel but could someone think about n/s=4 that n and s can be both positive or negative ?? 16/4 = 4 or -16/-4 = 4 so is not safely to cross multiply S ?? or this concern regards questions in which < or > are involved ??'

Thanks

You should be concerned about the signs only with inequalities. For equations you can safely cross-multiply.
User avatar
subirh
Joined: 23 May 2012
Last visit: 19 Feb 2013
Posts: 5
Own Kudos:
Given Kudos: 1
Posts: 5
Kudos: 31
Kudos
Add Kudos
Bookmarks
Bookmark this Post
1)n-6=2 .. sufficient
2)n/4=s or,n-6=n/4 -- sufficient. so answer is D
avatar
chekitsch
Joined: 27 Nov 2012
Last visit: 29 Mar 2013
Posts: 1
Posts: 1
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
hello, for statement (2), what if

n=4 and s=1

then -25 + 19 + 4 = -2
but s=1 NOT GOOD

also consider if n=8 and s=2

then -25 + 19 + 8 = 2
and s = 2 GOOD

since it is possible to pick different sets of numbers that yield conflicting answers, shouldn't this statement alone be insufficient? (refer to OG13 DS#41 for comparison)
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 20 Jul 2025
Posts: 102,633
Own Kudos:
Given Kudos: 98,235
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,633
Kudos: 743,058
Kudos
Add Kudos
Bookmarks
Bookmark this Post
chekitsch
hello, for statement (2), what if

n=4 and s=1

then -25 + 19 + 4 = -2
but s=1 NOT GOOD

also consider if n=8 and s=2

then -25 + 19 + 8 = 2
and s = 2 GOOD

since it is possible to pick different sets of numbers that yield conflicting answers, shouldn't this statement alone be insufficient? (refer to OG13 DS#41 for comparison)

n=4 and s=1 do not satisfy - 25+19+n=s.

We have two equations: - 25+19+n=s and n/s=4. Solving gives n=8 and s=2.
avatar
selfishmofo
Joined: 11 Aug 2013
Last visit: 20 Dec 2015
Posts: 21
Own Kudos:
Given Kudos: 9
Posts: 21
Kudos: 24
Kudos
Add Kudos
Bookmarks
Bookmark this Post
fameatop
Reducing Stem we get
n = s + 6
1) s=2--> n=8 ---> Sufficient
2) s=n/4 --->Sufficient

Answer D

For the second statement: I know I should stop after knowing that it's a linear-with one unknown, I'm rusty on my math, how does this become

I get this, N/S=4
S=4N (multiply each side)
(lost in this step) I did the following
N=S+6
N=4N+6
-3N=6
3 3
N=-2, (should be positive)

Not sure how I got a negative, I guessed correctly, the second time i worked the problem. I'm not sure how the MGMAT guide states that the number becomes S=1/4N, maybe so it's not negative, it's placed with a fraction? Can someone refresh me with that concept. thanks.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 20 Jul 2025
Posts: 102,633
Own Kudos:
Given Kudos: 98,235
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,633
Kudos: 743,058
Kudos
Add Kudos
Bookmarks
Bookmark this Post
selfishmofo
fameatop
Reducing Stem we get
n = s + 6
1) s=2--> n=8 ---> Sufficient
2) s=n/4 --->Sufficient

Answer D

For the second statement: I know I should stop after knowing that it's a linear-with one unknown, I'm rusty on my math, how does this become

I get this, N/S=4
S=4N (multiply each side)
(lost in this step) I did the following
N=S+6
N=4N+6
-3N=6
3 3
N=-2, (should be positive)

Not sure how I got a negative, I guessed correctly, the second time i worked the problem. I'm not sure how the MGMAT guide states that the number becomes S=1/4N, maybe so it's not negative, it's placed with a fraction? Can someone refresh me with that concept. thanks.

Not sure I understand everything in your post but n/s = 4 means n = 4s (multiply both sides by s) not s = 4n.

Hope it helps.
avatar
selfishmofo
Joined: 11 Aug 2013
Last visit: 20 Dec 2015
Posts: 21
Own Kudos:
Given Kudos: 9
Posts: 21
Kudos: 24
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
selfishmofo
fameatop
Reducing Stem we get
n = s + 6
1) s=2--> n=8 ---> Sufficient
2) s=n/4 --->Sufficient

Answer D

For the second statement: I know I should stop after knowing that it's a linear-with one unknown, I'm rusty on my math, how does this become

I get this, N/S=4
S=4N (multiply each side)
(lost in this step) I did the following
N=S+6
N=4N+6
-3N=6
3 3
N=-2, (should be positive)

Not sure how I got a negative, I guessed correctly, the second time i worked the problem. I'm not sure how the MGMAT guide states that the number becomes S=1/4N, maybe so it's not negative, it's placed with a fraction? Can someone refresh me with that concept. thanks.

Not sure I understand everything in your post but n/s = 4 means n = 4s (multiply both sides by s) not s = 4n.

Hope it helps.


I'm not sure how the MGMAT guide states that the number becomes S=1/4N, maybe so it's not negative, it's placed with a fraction? Can someone refresh me with that concept. Thank you for the other concept, I missed that small detail in trying to explain the problem.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 20 Jul 2025
Posts: 102,633
Own Kudos:
Given Kudos: 98,235
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,633
Kudos: 743,058
Kudos
Add Kudos
Bookmarks
Bookmark this Post
selfishmofo
Bunuel
selfishmofo

For the second statement: I know I should stop after knowing that it's a linear-with one unknown, I'm rusty on my math, how does this become

I get this, N/S=4
S=4N (multiply each side)
(lost in this step) I did the following
N=S+6
N=4N+6
-3N=6
3 3
N=-2, (should be positive)

Not sure how I got a negative, I guessed correctly, the second time i worked the problem. I'm not sure how the MGMAT guide states that the number becomes S=1/4N, maybe so it's not negative, it's placed with a fraction? Can someone refresh me with that concept. thanks.

Not sure I understand everything in your post but n/s = 4 means n = 4s (multiply both sides by s) not s = 4n.

Hope it helps.


I'm not sure how the MGMAT guide states that the number becomes S=1/4N, maybe so it's not negative, it's placed with a fraction? Can someone refresh me with that concept. Thank you for the other concept, I missed that small detail in trying to explain the problem.

\(n = 4s\) --> \(s = \frac{n}{4}\) or \(\frac{1}{4}*n\) (it's not \(\frac{1}{4n}\)).
User avatar
BrentGMATPrepNow
User avatar
Major Poster
Joined: 12 Sep 2015
Last visit: 13 May 2024
Posts: 6,755
Own Kudos:
Given Kudos: 799
Location: Canada
Expert
Expert reply
Posts: 6,755
Kudos: 34,143
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
What is the value of n in the equation: - 25 + 19 + n = s ?

(1) s = 2
(2) n/s = 4

Given: -25 + 19 + n = s
Simplify: -6 + n = s
Add 6 to both sides to get: n = s + 6

Target question: What is the value of n?

Statement 1: s = 2
We already know that n = s + 6
Replace s with 2 to get: n = 2 + 6 = 8
The answer to the target question is n = 8
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: n/s = 4
Multiply both sides by s to get: n = 4s
Divide both sides by 4 to get: n/4 = s

We already know that n = s + 6
Replace s with s with n/4 to get: n = n/4 + 6
Multiply both sides by 4 to get: 4n = n + 24
Subtract n from both sides to get: 3n = 24
Solve, n = 8
The answer to the target question is n = 8
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,463
Own Kudos:
Posts: 37,463
Kudos: 1,013
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:
Math Expert
102633 posts
455 posts