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

 It is currently 17 Oct 2019, 08:30 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 y if y > 0 and 4 - 3y(y-4/y) = 41 - 4y^2?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

Hide Tags

Senior Manager  P
Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 434
What is the value of y if y > 0 and 4 - 3y(y-4/y) = 41 - 4y^2?  [#permalink]

Show Tags 00:00

Difficulty:   35% (medium)

Question Stats: 75% (01:41) correct 25% (01:53) wrong based on 20 sessions

HideShow timer Statistics

What is the value of $$y$$ if $$y > 0$$ and $$4 - 3y(y-\frac{4}{y}) = 41 - 4y^2?$$

A) 25
B) 20
C) 12
D) 8
E) 5
Intern  Joined: 06 Nov 2011
Posts: 3
Location: Peru
GPA: 3
Re: What is the value of y if y > 0 and 4 - 3y(y-4/y) = 41 - 4y^2?  [#permalink]

Show Tags

I am probably getting my algebra totally wrong, but I don't see how any of those options can be a correct answer, can you see whether there is a typo?
Manager  S
Joined: 19 Jan 2019
Posts: 88
Re: What is the value of y if y > 0 and 4 - 3y(y-4/y) = 41 - 4y^2?  [#permalink]

Show Tags

By simplifying ,
the equation becomes 4y^2 -3y -25 = 0
This equation will have imaginary roots!!! Is there something wrong in the question

Posted from my mobile device
Intern  Joined: 12 Aug 2018
Posts: 1
Re: What is the value of y if y > 0 and 4 - 3y(y-4/y) = 41 - 4y^2?  [#permalink]

Show Tags

The question has a typo. The denominator y is just below 4/y, not below entire (y-4)/y
Intern  B
Joined: 04 Aug 2016
Posts: 8
Re: What is the value of y if y > 0 and 4 - 3y(y-4/y) = 41 - 4y^2?  [#permalink]

Show Tags

Hi guys,
The problem should be 4-3y(y-(4/y))=41-4y^2

Simplifying LHS we get
4-3y(y^2-4)/y
I.e 4-3y^2+12=41-4y^2
Substraction yields
y^2=25.
Therefore answer is y=5 as y>0
So answer is E

Posted from my mobile device Re: What is the value of y if y > 0 and 4 - 3y(y-4/y) = 41 - 4y^2?   [#permalink] 26 Mar 2019, 20:26
Display posts from previous: Sort by

What is the value of y if y > 0 and 4 - 3y(y-4/y) = 41 - 4y^2?

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

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