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

It is currently 20 Oct 2018, 14:24

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

In the rectangular quadrant system shown above, which quadrant, if any

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50007
In the rectangular quadrant system shown above, which quadrant, if any  [#permalink]

Show Tags

New post 08 Aug 2016, 09:15
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

71% (01:21) correct 29% (01:40) wrong based on 166 sessions

HideShow timer Statistics

Image
In the rectangular quadrant system shown above, which quadrant, if any, contains no point (x, y) that satisfies the equation 3x + 5y = −2?

A. none
B. I
C. II
D. III
E. IV

Attachment:
2016-08-08_2014.png
2016-08-08_2014.png [ 1.3 KiB | Viewed 2002 times ]

_________________

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

Senior Manager
Senior Manager
avatar
Joined: 23 Apr 2015
Posts: 312
Location: United States
Concentration: General Management, International Business
WE: Engineering (Consulting)
Re: In the rectangular quadrant system shown above, which quadrant, if any  [#permalink]

Show Tags

New post 08 Aug 2016, 09:25
Answer is B : I quadrant,

Convert the equation to the form y=mx+c.

\(3x + 5y = -2\) is \(y = -3x/5 - 2/5\) And applying values for \(x\) as 0,1,-1 we can see that it doesn't pass through I quadrant.
Board of Directors
User avatar
V
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3622
Premium Member Reviews Badge
Re: In the rectangular quadrant system shown above, which quadrant, if any  [#permalink]

Show Tags

New post 08 Aug 2016, 10:32
Bunuel wrote:
Image
In the rectangular quadrant system shown above, which quadrant, if any, contains no point (x, y) that satisfies the equation 3x + 5y = −2?

A. none
B. I
C. II
D. III
E. IV

Attachment:
2016-08-08_2014.png


Simple way to solve this questions is to draw the line on the coordinate plan by taking the x-intercept and y-intercept. We will get a line that won't pass through 1st quadrant.

hence, B is the answer.
_________________

My GMAT Story: From V21 to V40
My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub | Importance of an Error Log!
Verbal Resources: All SC Resources at one place | All CR Resources at one place
Blog: Subscribe to Question of the Day Blog

GMAT Club Inbuilt Error Log Functionality - View More.
New Visa Forum - Ask all your Visa Related Questions - here.

New! Best Reply Functionality on GMAT Club!



Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free

Check our new About Us Page here.

Intern
Intern
avatar
B
Joined: 25 Jan 2014
Posts: 32
Location: India
Concentration: Marketing, Operations
GMAT 1: 590 Q45 V26
GPA: 3.5
WE: Design (Manufacturing)
GMAT ToolKit User
Re: In the rectangular quadrant system shown above, which quadrant, if any  [#permalink]

Show Tags

New post 08 Aug 2016, 10:48
3x + 5y= -2
rearranging the equation:
y=-(3/5)x-(2/5)
slope is negative
line passes through either II,I ,and IV quadrants or II,III, and IV quadrants.
Y intercept is negative => line passes through II,III and IV quadrants.
Any point (x,y) in I quadrant will not satisfy the given equation.

Answer: B
_________________

"I would risk the fall, just to know how it feels to FLY"

Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8399
Location: Pune, India
In the rectangular quadrant system shown above, which quadrant, if any  [#permalink]

Show Tags

New post 08 Aug 2016, 23:19
4
Bunuel wrote:
Image
In the rectangular quadrant system shown above, which quadrant, if any, contains no point (x, y) that satisfies the equation 3x + 5y = −2?

A. none
B. I
C. II
D. III
E. IV

Attachment:
2016-08-08_2014.png


3x + 5y = -2

Put x = 0, y = -2/5
Put y = 0, x = -2/3

Plot the two points. You will see that the line will pass through II, III and IV quadrants but not through quadrant I.

Answer (B)

Also note that a line cannot pass through all 4 quadrants...
_________________

Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

GMAT self-study has never been more personalized or more fun. Try ORION Free!

Manager
Manager
avatar
Joined: 04 Jan 2014
Posts: 118
GMAT 1: 660 Q48 V32
GMAT 2: 630 Q48 V28
GMAT 3: 680 Q48 V35
Re: In the rectangular quadrant system shown above, which quadrant, if any  [#permalink]

Show Tags

New post 09 Aug 2016, 19:26
The equation is 3x + 5y = -2. Since both x and y are positive in the 1st quadrant, sum of 2 positive numbers can never yield a negative.

Answer (B.)
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8484
Premium Member
Re: In the rectangular quadrant system shown above, which quadrant, if any  [#permalink]

Show Tags

New post 24 Mar 2018, 21:25
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: In the rectangular quadrant system shown above, which quadrant, if any &nbs [#permalink] 24 Mar 2018, 21:25
Display posts from previous: Sort by

In the rectangular quadrant system shown above, which quadrant, if any

  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®.