NEW HERE? LEARN MORE
closeclose
It is currently 22 Apr 2024, 23:06
Register
GMAT Focus Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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

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

17 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Question banks

GMAT Question Banks

Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92842
CAT Tests Forum Quiz Mode
What is the value of n in the equation - 25 + 19 + n = S ? [#permalink] New post  Updated on: 02 Feb 2023, 09:53
3
Kudos
19
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

83% (00:49) correct 17% (00:51) wrong based on 1685 sessions
Hide Show timer Statistics
What is the value of n in the equation: - 25 + 19 + n = s ?

(1) s = 2
(2) n/s = 4
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More

Originally posted by Bunuel on 08 Oct 2012, 02:55.
Last edited by Bunuel on 02 Feb 2023, 09:53, edited 4 times in total.
request expert reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92842
CAT Tests Forum Quiz Mode
Re: What is the value of n in the equation - 25 + 19 + n = S ? [#permalink] New post  08 Oct 2012, 02:55
1
Kudos
1
Bookmarks
Expert Reply
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.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
SOURH7WK
Manager
Manager
Joined: 15 Jun 2010
Posts: 242
Schools:IE'14, ISB'14, Kellogg'15
WE 1: 7 Yrs in Automobile (Commercial Vehicle industry)
Reviews Badge
Re: What is the value of n in the equation - 25 + 19 + n = S ? [#permalink] New post  08 Oct 2012, 03:09
St 1: Sufficient: Substitute S=2 in 25+19+n=2, Value of n can be found out from this linear equation.
St 2: Sufficient: Substitute s=n/4 in 25+19+n=n/4, Value of n can be found out from this linear equation.

Hence Answer D
User avatar
B
fameatop
Senior Manager
Senior Manager
Joined: 24 Aug 2009
Posts: 388
Schools:Harvard, Columbia, Stern, Booth, LSB,
Re: What is the value of n in the equation - 25 + 19 + n = S ? [#permalink] New post  08 Oct 2012, 03:10
1
Kudos
Reducing Stem we get
n = s + 6
1) s=2--> n=8 ---> Sufficient
2) s=n/4 --->Sufficient

Answer D
User avatar
aditi1903
Manager
Manager
Joined: 29 Apr 2012
Posts: 53
Location: United States
Concentration: International Business, Real Estate
GMAT Date: 10-22-2012
GMAT ToolKit User
Re: What is the value of n in the equation - 25 + 19 + n = S ? [#permalink] New post  08 Oct 2012, 03:14
IMO D..
each statement alone is sufficient
User avatar
B
thevenus
Senior Manager
Senior Manager
Joined: 17 Mar 2010
Status:Final Countdown
Posts: 320
Location: United States (NY)
GPA: 3.82
WE:Account Management (Retail Banking)
Re: What is the value of n in the equation - 25 + 19 + n = S ? [#permalink] New post  11 Oct 2012, 11:51
1
Kudos
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
L
carcass
Board of Directors
Joined: 01 Sep 2010
Posts: 4376
Re: What is the value of n in the equation - 25 + 19 + n = S ? [#permalink] New post  15 Oct 2012, 14:36
Bunuel wrote:
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
_________________
COLLECTION OF QUESTIONS AND RESOURCES
Quant: 1. ALL GMATPrep questions Quant/Verbal 2. Bunuel Signature Collection - The Next Generation 3. Bunuel Signature Collection ALL-IN-ONE WITH SOLUTIONS 4. Veritas Prep Blog PDF Version 5. MGMAT Study Hall Thursdays with Ron Quant Videos
Verbal:1. Verbal question bank and directories by Carcass 2. MGMAT Study Hall Thursdays with Ron Verbal Videos 3. Critical Reasoning_Oldy but goldy question banks 4. Sentence Correction_Oldy but goldy question banks 5. Reading-comprehension_Oldy but goldy question banks
Signature Read More
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92842
CAT Tests Forum Quiz Mode
Re: What is the value of n in the equation - 25 + 19 + n = S ? [#permalink] New post  15 Oct 2012, 15:28
Expert Reply
carcass wrote:
Bunuel wrote:
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.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
subirh
Intern
Intern
Joined: 23 May 2012
Posts: 5
Re: What is the value of n in the equation - 25 + 19 + n = S ? [#permalink] New post  16 Oct 2012, 07:33
1)n-6=2 .. sufficient
2)n/4=s or,n-6=n/4 -- sufficient. so answer is D
avatar
chekitsch
Intern
Intern
Joined: 27 Nov 2012
Posts: 1
Re: What is the value of n in the equation - 25 + 19 + n = S ? [#permalink] New post  31 Dec 2012, 23:47
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
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92842
CAT Tests Forum Quiz Mode
Re: What is the value of n in the equation - 25 + 19 + n = S ? [#permalink] New post  01 Jan 2013, 02:42
Expert Reply
chekitsch wrote:
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.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
avatar
selfishmofo
Intern
Intern
Joined: 11 Aug 2013
Posts: 22
Re: What is the value of n in the equation - 25 + 19 + n = S ? [#permalink] New post  28 Oct 2013, 21:13
fameatop wrote:
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
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92842
CAT Tests Forum Quiz Mode
Re: What is the value of n in the equation - 25 + 19 + n = S ? [#permalink] New post  29 Oct 2013, 02:22
Expert Reply
selfishmofo wrote:
fameatop wrote:
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.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
avatar
selfishmofo
Intern
Intern
Joined: 11 Aug 2013
Posts: 22
Re: What is the value of n in the equation - 25 + 19 + n = S ? [#permalink] New post  29 Oct 2013, 07:44
Bunuel wrote:
selfishmofo wrote:
fameatop wrote:
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
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92842
CAT Tests Forum Quiz Mode
Re: What is the value of n in the equation - 25 + 19 + n = S ? [#permalink] New post  29 Oct 2013, 07:47
Expert Reply
selfishmofo wrote:
Bunuel wrote:
selfishmofo wrote:

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 \(\frac{1}{4n}\)).
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Location: Canada
Re: What is the value of n in the equation - 25 + 19 + n = S ? [#permalink] New post  06 Jul 2019, 07:29
Expert Reply
Top Contributor
Bunuel wrote:
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
Non-Human User
Joined: 09 Sep 2013
Posts: 32609
Re: What is the value of n in the equation - 25 + 19 + n = S ? [#permalink] New post  20 Jan 2024, 04:21
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
gmatclubot
Re: What is the value of n in the equation - 25 + 19 + n = S ? [#permalink]
20 Jan 2024, 04:21
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderator:
Bunuel
Math Expert
92842 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions