GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 15 Oct 2019, 05:26

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 2x ≠ y and 5x ≠ 4y, what is the value of (5x - 4y)/(2x - y)/(3y/y-)

  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: 58333
If 2x ≠ y and 5x ≠ 4y, what is the value of (5x - 4y)/(2x - y)/(3y/y-)  [#permalink]

Show Tags

New post 15 Jul 2019, 23:51
1
1
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

89% (01:36) correct 11% (02:41) wrong based on 53 sessions

HideShow timer Statistics

SVP
SVP
User avatar
P
Joined: 03 Jun 2019
Posts: 1684
Location: India
Premium Member Reviews Badge CAT Tests
Re: If 2x ≠ y and 5x ≠ 4y, what is the value of (5x - 4y)/(2x - y)/(3y/y-)  [#permalink]

Show Tags

New post 16 Jul 2019, 00:06
Bunuel wrote:
If \(2x \neq y\) and \(5x \neq 4y\), 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. \(\frac{9}{2}\)



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

IMO A
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts."

Please provide kudos if you like my post. Kudos encourage active discussions.

My GMAT Resources: -

Efficient Learning
All you need to know about GMAT quant

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
SVP
SVP
User avatar
P
Joined: 03 Jun 2019
Posts: 1684
Location: India
Premium Member Reviews Badge CAT Tests
Re: If 2x ≠ y and 5x ≠ 4y, what is the value of (5x - 4y)/(2x - y)/(3y/y-)  [#permalink]

Show Tags

New post 16 Jul 2019, 00:08
Bunuel wrote:
If \(2x \neq y\) and \(5x \neq 4y\), 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. \(\frac{9}{2}\)



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



IMO A
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts."

Please provide kudos if you like my post. Kudos encourage active discussions.

My GMAT Resources: -

Efficient Learning
All you need to know about GMAT quant

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
Intern
Intern
avatar
B
Joined: 19 Mar 2012
Posts: 31
Re: If 2x ≠ y and 5x ≠ 4y, what is the value of (5x - 4y)/(2x - y)/(3y/y-)  [#permalink]

Show Tags

New post 16 Jul 2019, 00:35
This is A when we reduce the equation we get y - 2x which has to be replaced with -(2x-y) and the denominator similarly is replaced with -2 (5x- 4y) this brings us to 1/2 A
Rice (Jones) School Moderator
User avatar
P
Joined: 18 Jun 2018
Posts: 297
Location: United States (AZ)
Concentration: Finance, Healthcare
GMAT 1: 600 Q44 V28
GPA: 3.36
CAT Tests
Re: If 2x ≠ y and 5x ≠ 4y, what is the value of (5x - 4y)/(2x - y)/(3y/y-)  [#permalink]

Show Tags

New post 16 Jul 2019, 08:19
2
Let us assume x = 1 and y = 1

Numerator = \(\frac{5-4}{2-1}\) = \(\frac{1}{1}\) = 1
Denominator = 3/1-2 + 5 = -3+5 = 2

Therefore. \(\frac{numerator}{denominator}\) = \(\frac{1}{2}\) (the answer is A)
Senior Manager
Senior Manager
User avatar
G
Joined: 18 Dec 2017
Posts: 480
Location: United States (KS)
Re: If 2x ≠ y and 5x ≠ 4y, what is the value of (5x - 4y)/(2x - y)/(3y/y-)  [#permalink]

Show Tags

New post 16 Jul 2019, 11:36
bebs wrote:
Let us assume x = 1 and y = 1

Numerator = \(\frac{5-4}{2-1}\) = \(\frac{1}{1}\) = 1
Denominator = 3/1-2 + 5 = -3+5 = 2

Therefore. \(\frac{numerator}{denominator}\) = \(\frac{1}{2}\) (the answer is A)

I followed the same approach
_________________
“Practice is the hardest part of learning, and training is the essence of transformation.” ― Ann Voskamp
Software Tester currently in USA ( ;-) )
GMAT Club Bot
Re: If 2x ≠ y and 5x ≠ 4y, what is the value of (5x - 4y)/(2x - y)/(3y/y-)   [#permalink] 16 Jul 2019, 11:36
Display posts from previous: Sort by

If 2x ≠ y and 5x ≠ 4y, what is the value of (5x - 4y)/(2x - y)/(3y/y-)

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





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