GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 18 Feb 2020, 11:11

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

If mx + qy − nx − py = 0, p − q = 2, and y/x = -1/3, then which of the

  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: 61283
If mx + qy − nx − py = 0, p − q = 2, and y/x = -1/3, then which of the  [#permalink]

Show Tags

New post 05 Feb 2019, 01:22
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

66% (02:10) correct 34% (02:22) wrong based on 50 sessions

HideShow timer Statistics

NUS School Moderator
avatar
V
Joined: 18 Jul 2018
Posts: 1053
Location: India
Concentration: Finance, Marketing
GMAT 1: 590 Q46 V25
GMAT 2: 690 Q49 V34
WE: Engineering (Energy and Utilities)
Reviews Badge CAT Tests
Re: If mx + qy − nx − py = 0, p − q = 2, and y/x = -1/3, then which of the  [#permalink]

Show Tags

New post 05 Feb 2019, 01:58
1
Re-arranging the terms gives, x(m-n)-y(p-q) = 0
Given p-q = 2
x(m-n) = 2y
y/x = m-n/2
-1/3 = m-n/2
m-n = -2/3
or n-m = 2/3

A is the answer.
Director
Director
avatar
G
Joined: 09 Mar 2018
Posts: 986
Location: India
Re: If mx + qy − nx − py = 0, p − q = 2, and y/x = -1/3, then which of the  [#permalink]

Show Tags

New post 05 Feb 2019, 02:12
Bunuel wrote:
If \(mx + qy − nx − py = 0\), \(p − q = 2\), and \(y/x = -\frac{1}{3}\), then which of the following is true?


A. n – m = 2/3

B. n – m = -2/3

C. m + n = 2/3

D. m + n = 3/2

E. m + n = -3/2


mx -nx -py +qy = 0

x(m-n) - y(p-q) = 0
x(m-n) = 2y
y/x = (m-n)/2

y/x = -1/3
m-n = -2/3
n-m = 2/3

A
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 11 Sep 2015
Posts: 4326
Location: Canada
Re: If mx + qy − nx − py = 0, p − q = 2, and y/x = -1/3, then which of the  [#permalink]

Show Tags

New post 24 Jan 2020, 10:14
Top Contributor
Bunuel wrote:
If \(mx + qy − nx − py = 0\), \(p − q = 2\), and \(\frac{y}{x} = -\frac{1}{3}\), then which of the following is true?


A. n – m = 2/3

B. n – m = -2/3

C. m + n = 2/3

D. m + n = 3/2

E. m + n = -3/2


Tricky!!!
First notice that we can perform some factoring in parts
We'll start by rearranging the terms to get some like terms together.

Take: \(mx + qy − nx − py = 0\)
Rearrange to get: \(mx − nx + qy − py = 0\)
Factor in parts to get: \(x(m − n) + y(q - p) = 0\)
Now subtract \(y(q - p)\) from both sides to get: \(x(m − n) = -y(q - p)\)
Rewrite the right side of the equation as follows: \(x(m − n) = y(-q + p)\)
Simplify to get: \(x(m − n) = y(p - q)\)

Divide both sides by \(x\) to get: \(m − n = \frac{y(p - q)}{x}\)

Rewrite the right side of the equation to get: \(m − n = \frac{y}{x}(p - q)\)

Replace \(p − q\), and \(\frac{y}{x}\) to get: \(m − n = -\frac{1}{3}(2)\)

Simplify to get: \(m − n = -\frac{2}{3}\)

Multiply both sides by \(-1\) to get: \(-m + n = \frac{2}{3}\)

Finally, rewrite as follows: \(n - m = \frac{2}{3}\)

Answer: A

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Image
GMAT Club Bot
Re: If mx + qy − nx − py = 0, p − q = 2, and y/x = -1/3, then which of the   [#permalink] 24 Jan 2020, 10:14
Display posts from previous: Sort by

If mx + qy − nx − py = 0, p − q = 2, and y/x = -1/3, then which of the

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





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