Last visit was: 17 Jun 2024, 01:21 It is currently 17 Jun 2024, 01:21
Toolkit
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

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.

# What is the value of (5x - 4y)/(2x - y)/(3y/(y-2x) + 5) ?

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 93700
Own Kudos [?]: 632385 [4]
Given Kudos: 82322
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6814
Own Kudos [?]: 30567 [5]
Given Kudos: 799
General Discussion
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5232
Own Kudos [?]: 4068 [0]
Given Kudos: 160
Location: India
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Manager
Joined: 09 Jun 2018
Posts: 55
Own Kudos [?]: 3 [0]
Given Kudos: 87
Re: What is the value of (5x - 4y)/(2x - y)/(3y/(y-2x) + 5) ? [#permalink]
BrentGMATPrepNow wrote:
Bunuel wrote:
$$2x \neq y$$

$$5x \neq 4y$$

What is the value of $$\frac{\frac{5x-4y}{2x-y}}{\frac{3y}{y-2x} + 5}$$ ?

A. $$\frac{1}{2}$$

B. $$\frac{3}{2}$$

C. $$\frac{5}{2}$$

D. $$\frac{7}{2}$$

E. $$\frac{9}{2}$$

Key concept: It's important to recognize that the question is really asking us "What is the value of the expression for ALL values of x and y (except the exclusions noted)?"

So let's see what the expression evaluates to when x = 1 and y = 1..

$$\frac{\frac{5x-4y}{2x-y}}{\frac{3y}{y-2x} + 5}=\frac{\frac{5(1)-4(1)}{2(1)-(1)}}{\frac{3(1)}{(1)-2(1)} + 5}$$

$$=\frac{\frac{1}{1}}{\frac{3}{-1} + 5}$$

$$= \frac{1}{2}$$

Hi! How did you get to 1/2? Can you show the elaborate working? Also, will we get the same answer if any other number is substituted?
Tutor
Joined: 05 Apr 2011
Status:Tutor - BrushMyQuant
Posts: 1787
Own Kudos [?]: 2121 [2]
Given Kudos: 100
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE:Information Technology (Computer Software)
Re: What is the value of (5x - 4y)/(2x - y)/(3y/(y-2x) + 5) ? [#permalink]
2
Kudos
Top Contributor
$$\frac{\frac{5x-4y}{2x-y}}{\frac{3y}{y-2x} + 5}$$

Multiplying both numerator and denominator of $$\frac{3y}{y-2x}$$ by -1 we get

= $$\frac{\frac{5x-4y}{2x-y}}{\frac{-3y}{2x - y} + 5}$$

= $$\frac{\frac{5x-4y}{2x-y}}{\frac{-3y + 5*(2x-y)}{2x - y}}$$ = $$\frac{5x-4y}{-3y + 5*(2x-y)}$$

= $$\frac{5x-4y}{-3y + 10x - 5y}$$ = $$\frac{5x-4y}{-8y + 10x}$$ = $$\frac{5x-4y}{2*(5x - 4y)}$$ = $$\frac{1}{2}$$

Hope it helps!
Non-Human User
Joined: 09 Sep 2013
Posts: 33616
Own Kudos [?]: 838 [0]
Given Kudos: 0
Re: What is the value of (5x - 4y)/(2x - y)/(3y/(y-2x) + 5) ? [#permalink]
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.
Re: What is the value of (5x - 4y)/(2x - y)/(3y/(y-2x) + 5) ? [#permalink]
Moderator:
Math Expert
93696 posts