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

It is currently 13 Oct 2019, 18:09

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 XY-plane, a line l passes through the origin and has a slope 3.

  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: 58335
In the XY-plane, a line l passes through the origin and has a slope 3.  [#permalink]

Show Tags

New post 16 Oct 2018, 04:52
1
4
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

70% (01:28) correct 30% (01:59) wrong based on 56 sessions

HideShow timer Statistics

Director
Director
User avatar
V
Joined: 06 Jan 2015
Posts: 689
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Re: In the XY-plane, a line l passes through the origin and has a slope 3.  [#permalink]

Show Tags

New post 16 Oct 2018, 05:10
3
Bunuel wrote:
In the XY-plane, a line l passes through the origin and has a slope 3. If points (1, a) and (b, 2) are on the line l, what is the value of a/b?

(A) 2
(B) 3
(C) 2/3
(D) 2/9
(E) 92


A line l passes through the origin and has a slope 3

Slope of Origin (0,0) and (1, a) = (a-0)/(1-0)=3

a=3

Slope of Origin (0,0) and (b,2) = (2-0)/(b-0) =3

b=2/3

a/b= 3/(2/3) = 9/2

Bunuel Seems like typo Option E must be 9/2
_________________
आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58335
Re: In the XY-plane, a line l passes through the origin and has a slope 3.  [#permalink]

Show Tags

New post 16 Oct 2018, 05:12
NandishSS wrote:
Bunuel wrote:
In the XY-plane, a line l passes through the origin and has a slope 3. If points (1, a) and (b, 2) are on the line l, what is the value of a/b?

(A) 2
(B) 3
(C) 2/3
(D) 2/9
(E) 92


A line l passes through the origin and has a slope 3

Slope of Origin (0,0) and (1, a) = (a-0)/(1-0)=3

a=3

Slope of Origin (0,0) and (b,2) = (2-0)/(b-0) =3

b=2/3

a/b= 3/(2/3) = 9/2

Bunuel Seems like typo Option E must be 9/2

______________________
Fixed. Thank you.
_________________
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2974
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: In the XY-plane, a line l passes through the origin and has a slope 3.  [#permalink]

Show Tags

New post 16 Oct 2018, 05:18
Bunuel wrote:
In the XY-plane, a line l passes through the origin and has a slope 3. If points (1, a) and (b, 2) are on the line l, what is the value of a/b?

(A) 2
(B) 3
(C) 2/3
(D) 2/9
(E) 9/2


line l passes through the origin and has a slope 3. If points (1, a) and (b, 2) are on the line l,

i,e. Slope of line using points (0,0) and (1,a) = (a-0)/(1-0) = 3

i.e. a = 3

Now, Slope of line using points (0,0) and (b,2) = (2-0)/(b-0) = 3

i.e. b = 2/3

i.e. a/b = 3/(2/3) = 9/2

Answer: Option E
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Director
Director
avatar
G
Joined: 19 Oct 2013
Posts: 520
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
GMAT ToolKit User
Re: In the XY-plane, a line l passes through the origin and has a slope 3.  [#permalink]

Show Tags

New post 16 Oct 2018, 11:51
Bunuel wrote:
In the XY-plane, a line l passes through the origin and has a slope 3. If points (1, a) and (b, 2) are on the line l, what is the value of a/b?

(A) 2
(B) 3
(C) 2/3
(D) 2/9
(E) 9/2


let (0,0) = \((x_1,y_1)\)

\(slope = \frac{y_2 - y_1}{x_2 - x_1}\)

\(3 = \frac{a - 0}{1 - 0}\)

a = 3

then \(3 = \frac{2 - 0}{b - 0}\)

3b = 2

\(b = \frac{2}{3}\)

\(\frac{a}{b}\) = \(3/\frac{2}{3}\)

\(\frac{a}{b}\) = \(3 * \frac{3}{2}\) = \(\frac{9}{2}\)

Answer choice E
GMAT Club Bot
Re: In the XY-plane, a line l passes through the origin and has a slope 3.   [#permalink] 16 Oct 2018, 11:51
Display posts from previous: Sort by

In the XY-plane, a line l passes through the origin and has a slope 3.

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





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