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

It is currently 21 Jan 2019, 05:47

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
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

     January 21, 2019

     January 21, 2019

     10:00 PM PST

     11:00 PM PST

    Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.
  • The winners of the GMAT game show

     January 22, 2019

     January 22, 2019

     10:00 PM PST

     11:00 PM PST

    In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.

In the xy-plane, does the line with the equation y = 2x - 4 contain

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
avatar
Joined: 24 Nov 2010
Posts: 177
Location: United States (CA)
Concentration: Technology, Entrepreneurship
Schools: Ross '15, Duke '15
GMAT ToolKit User
In the xy-plane, does the line with the equation y = 2x - 4 contain  [#permalink]

Show Tags

New post Updated on: 20 Jun 2011, 06:07
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

33% (00:00) correct 67% (00:50) wrong based on 9 sessions

HideShow timer Statistics

In the xy-plane, does the line with the equation y = 2x - 4 contain the point (a,b)?

(1) (2a - b - 4)(a + 5b + 2) = 0
(2) (4a + 3b - 1)(2a - b - 4) = 0

OPEN DISCUSSION OF THIS QUESTION IS HERE: in-the-xy-plane-does-the-line-with-the-equation-y-2x-140975.html

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

Originally posted by dreambeliever on 20 Jun 2011, 05:50.
Last edited by dreambeliever on 20 Jun 2011, 06:07, edited 1 time in total.
Retired Moderator
avatar
B
Joined: 16 Nov 2010
Posts: 1419
Location: United States (IN)
Concentration: Strategy, Technology
Premium Member Reviews Badge
Re: In the xy-plane, does the line with the equation y = 2x - 4 contain  [#permalink]

Show Tags

New post 20 Jun 2011, 05:59
The answer is C, because there is a common term "(2a - b - 4)" to determine the answer in both (1) and (2), else (1) and (2) on their own give two equations for a and b, while we need a single one in the form 2a - b - 4 = 0 . Can you however clarify if there is a sign missing in this "(4a + 3b 1)" in (2) ?
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Retired Moderator
avatar
Joined: 20 Dec 2010
Posts: 1810
Re: In the xy-plane, does the line with the equation y = 2x - 4 contain  [#permalink]

Show Tags

New post 20 Jun 2011, 06:00
Manager
Manager
avatar
Joined: 24 Nov 2010
Posts: 177
Location: United States (CA)
Concentration: Technology, Entrepreneurship
Schools: Ross '15, Duke '15
GMAT ToolKit User
Re: In the xy-plane, does the line with the equation y = 2x - 4 contain  [#permalink]

Show Tags

New post 20 Jun 2011, 06:09
subhashghosh wrote:
The answer is C, because there is a common term "(2a - b - 4)" to determine the answer in both (1) and (2), else (1) and (2) on their own give two equations for a and b, while we need a single one in the form 2a - b - 4 = 0 . Can you however clarify if there is a sign missing in this "(4a + 3b 1)" in (2) ?



corrected the missing sign.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52342
Re: In the xy-plane, does the line with the equation y = 2x - 4 contain  [#permalink]

Show Tags

New post 03 Dec 2017, 23:18
In the xy-plane, does the line with the equation y=2x-4 contain the point (a,b)?

Line with equation \(y=2x-4\) contains the point \((a,b)\) means that when substituting \(a\) ans \(b\) in line equation: \(b=2a-4\) (or \(2a-b-4=0\)) holds true.

So, basically we are asked to determine whether \(2a-b-4=0\) is true.

(1) (2a-b-4)(a+5b+2)=0 --> either \(2a-b-4=0\) OR \(a+5b+2=0\) OR both. Not sufficient.

(2) (4a+3b-1)(2a-b-4)=0 --> either \(2a-b-4=0\) OR \(4a+3b-1=0\) OR both. Not sufficient.

(1)+(2) Now, since \(a+5b+2=0\) and \(4a+3b-1=0\) can simultaneously be true (for a=11/17 and b=-9/17), then we have that EITHER both \(a+5b+2=0\) and \(4a+3b-1=0\) are true OR \(2a-b-4=0\) is true. Not sufficient.

Answer: E (C is not correct).

Similar question to practice from GMAT Prep: http://gmatclub.com/forum/in-the-xy-pla ... 00399.html

Hope it helps.

OPEN DISCUSSION OF THIS QUESTION IS HERE: in-the-xy-plane-does-the-line-with-the-equation-y-2x-140975.html

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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

GMAT Club Bot
Re: In the xy-plane, does the line with the equation y = 2x - 4 contain &nbs [#permalink] 03 Dec 2017, 23:18
Display posts from previous: Sort by

In the xy-plane, does the line with the equation y = 2x - 4 contain

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.