Find all School-related info fast with the new School-Specific MBA Forum

It is currently 24 May 2016, 05:32
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

IN the xy-plane, the line k passes thru the origin and thru

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Senior Manager
Senior Manager
avatar
Joined: 05 Aug 2005
Posts: 412
Followers: 1

Kudos [?]: 33 [0], given: 0

IN the xy-plane, the line k passes thru the origin and thru [#permalink]

Show Tags

New post 15 Sep 2006, 17:17
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

IN the xy-plane, the line k passes thru the origin and thru the point(a,b), where ab != 0. Is b positive?

1) the slope of line k is negative

2) a <b
VP
VP
User avatar
Joined: 02 Jun 2006
Posts: 1267
Followers: 2

Kudos [?]: 59 [0], given: 0

 [#permalink]

Show Tags

New post 15 Sep 2006, 17:47
Answer: C

Question : b > 0?

General Eqn of line passing through origin : y = mx

S1: m < 0

As line passes through (a, b)
b = ma
or b/a = m
As m < 0, b/a < 0

Either
b < 0, a > 0 or
b > 0, a < 0
Not sufficient.

S2: a < b
b = ma

Let a = -1, b = 2 if m = -1, b > 0
if m = 1, b < 0
Not sufficient.

S1& S2:
m < 0 and a < b
b = ma
or b/a = m < 0 => b/a < 0

Either b < 0, a > 0 Not possible as a < b,
or b > 0, a < 0, Posisble and only case.

Sufficient:

Answer: C
Senior Manager
Senior Manager
User avatar
Joined: 28 Aug 2006
Posts: 304
Followers: 13

Kudos [?]: 121 [0], given: 0

 [#permalink]

Show Tags

New post 16 Sep 2006, 02:28
Folks, this is again simple.

Given the line passes through (0,0) and (a,b)
Hence it's slope is b/a [By the way slope of a line passing through (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)]

Statement 1: Slope is negative
ie b/a<0 => a and b are of opposite signs, but we can't conclude that b <0

Statment 2: a < b , Clearly this alone is not sufficient.

Now combining both we know that a and b are of opposite signs and a<b
So a is -ve and b is +ve

So the answer is C

Regards,
_________________

Averages Accelerated:Guide to solve Averages Quickly(with 10 practice problems)


Last edited by cicerone on 25 Sep 2008, 01:07, edited 1 time in total.
Senior Manager
Senior Manager
avatar
Joined: 05 Aug 2005
Posts: 412
Followers: 1

Kudos [?]: 33 [0], given: 0

 [#permalink]

Show Tags

New post 17 Sep 2006, 20:16
OA is C .... Great explainations thanks
  [#permalink] 17 Sep 2006, 20:16
Display posts from previous: Sort by

IN the xy-plane, the line k passes thru the origin and thru

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.