It is currently 11 Dec 2017, 06:36

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

Events & Promotions in June
Open Detailed Calendar

In the figure above, the point on segment PQ that is twice a

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42544

Kudos [?]: 135217 [0], given: 12673

In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 18 Sep 2012, 02:51
Expert's post
19
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

75% (01:52) correct 25% (01:22) wrong based on 1163 sessions

HideShow timer Statistics

Attachment:
Plane.png
Plane.png [ 7.49 KiB | Viewed 31599 times ]
In the figure above, the point on segment PQ that is twice as far from P as from Q is

(A) (3,1)
(B) (2,1)
(C) (2,-1)
(D) (1.5,0.5)
(E) (1,0)

Practice Questions
Question: 43
Page: 158
Difficulty: 600
[Reveal] Spoiler: OA

_________________

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

Kudos [?]: 135217 [0], given: 12673

Expert Post
5 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42544

Kudos [?]: 135217 [5], given: 12673

Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 18 Sep 2012, 02:52
5
This post received
KUDOS
Expert's post
4
This post was
BOOKMARKED
Image
In the figure above, the point on segment PQ that is twice as far from P as from Q is

(A) (3,1)
(B) (2,1)
(C) (2,-1)
(D) (1.5,0.5)
(E) (1,0)

Options A or C cannot be correct answer since these points aren't even on segment PQ. E (1,0) is clearly closer to P, so it's also out, D is right in the middle of the segment, so only option B is left.

Answer: B.
_________________

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

Kudos [?]: 135217 [5], given: 12673

1 KUDOS received
Manager
Manager
avatar
Joined: 12 Mar 2012
Posts: 164

Kudos [?]: 61 [1], given: 4

Location: India
Concentration: Technology, General Management
GMAT Date: 07-23-2012
WE: Programming (Telecommunications)
Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 18 Sep 2012, 06:30
1
This post received
KUDOS
1
This post was
BOOKMARKED
Bunuel wrote:

Attachment:
Plane.png
In the figure above, the point on segment PQ that is twice as far from P as from Q is

(A) (3,1)
(B) (2,1)
(C) (2,-1)
(D) (1.5,0.5)
(E) (1,0)



The question ask to divide the line PQ into 2:1 ratio and find the point.
By symmetry, the line segment at x-axis (1,0) will be divided in ratio 1:2.
Similarly, at (2,1) line will be divided in ration 2:1

Hence B
_________________

FOCUS..this is all I need!

Ku-Do!

Kudos [?]: 61 [1], given: 4

1 KUDOS received
Manager
Manager
avatar
Joined: 02 Jun 2011
Posts: 117

Kudos [?]: 70 [1], given: 5

Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 18 Sep 2012, 10:32
1
This post received
KUDOS
Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Attachment:
Plane.png
In the figure above, the point on segment PQ that is twice as far from P as from Q is

(A) (3,1)
(B) (2,1)
(C) (2,-1)
(D) (1.5,0.5)
(E) (1,0)

Practice Questions
Question: 43
Page: 158
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!


By looking at the figure it comes out that option "B" (2,1) is the right choice.

Kudos [?]: 70 [1], given: 5

Director
Director
avatar
Status: Gonna rock this time!!!
Joined: 22 Jul 2012
Posts: 505

Kudos [?]: 72 [0], given: 562

Location: India
GMAT 1: 640 Q43 V34
GMAT 2: 630 Q47 V29
WE: Information Technology (Computer Software)
Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 26 Oct 2012, 03:25
twice as far from P as from Q

This confused me..I thought teh Qs is asking for the midpoint..

Could somebody explain me what it is asking..

and thanks bunuel for POE method. but how would u solve this algebraically?
_________________

hope is a good thing, maybe the best of things. And no good thing ever dies.

Who says you need a 700 ?Check this out : http://gmatclub.com/forum/who-says-you-need-a-149706.html#p1201595

My GMAT Journey : http://gmatclub.com/forum/end-of-my-gmat-journey-149328.html#p1197992

Kudos [?]: 72 [0], given: 562

Manager
Manager
User avatar
Joined: 28 May 2009
Posts: 155

Kudos [?]: 277 [0], given: 91

Location: United States
Concentration: Strategy, General Management
GMAT Date: 03-22-2013
GPA: 3.57
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 21 Dec 2012, 15:14
Sachin9 wrote:
twice as far from P as from Q

This confused me..I thought teh Qs is asking for the midpoint..

Could somebody explain me what it is asking..

and thanks bunuel for POE method. but how would u solve this algebraically?



I concur. I think it would be helpful if we can solve this algebraically using the given y-coordinate and point Q, rather than elimination — similar to Bunel's approach to this problem.
_________________

New to GMAT Club? Start here

Kindle Flashcards - Quant (Official Gmat Club, miguemick's Quant topics), and Verbal (Official Gmat Club) - in Kindle (azw3) format

Kudos [?]: 277 [0], given: 91

Director
Director
avatar
Status: Gonna rock this time!!!
Joined: 22 Jul 2012
Posts: 505

Kudos [?]: 72 [0], given: 562

Location: India
GMAT 1: 640 Q43 V34
GMAT 2: 630 Q47 V29
WE: Information Technology (Computer Software)
Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 22 Dec 2012, 01:49
Please suggest a algebraic approach, Bunuel!
_________________

hope is a good thing, maybe the best of things. And no good thing ever dies.

Who says you need a 700 ?Check this out : http://gmatclub.com/forum/who-says-you-need-a-149706.html#p1201595

My GMAT Journey : http://gmatclub.com/forum/end-of-my-gmat-journey-149328.html#p1197992

Kudos [?]: 72 [0], given: 562

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42544

Kudos [?]: 135217 [1], given: 12673

Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 22 Dec 2012, 05:04
1
This post received
KUDOS
Expert's post

Kudos [?]: 135217 [1], given: 12673

10 KUDOS received
Manager
Manager
User avatar
Joined: 24 Mar 2010
Posts: 76

Kudos [?]: 81 [10], given: 134

Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 26 Dec 2012, 03:06
10
This post received
KUDOS
3
This post was
BOOKMARKED
Lets see the algebraic solution.

A point P that divides a line AB internally into ratio m1 & m2 is as below.


A(x1,y1)____________m1_____________P(x3,y3)________________________m2__________________________B(x2,y2)

The formula for finding coordinates are as below.

\(x3 = (x1*m2 + x2*m1)/(m1 + m2)\)

\(y3 = (y1*m2 + y2*m1)/(m1 + m2)\)

Back to our question.

P (0,-1 ) & Q (3,2)

We fathom that m1 =2 & m2 = 1

\(x1 = 0 , y1 = -1\)

\(x2 = 3 , y1 = 2\)

Plugging values, we obtain answer as (2,1). Hence B

Once you know the formula its very easy.

P.S. Bunuel's approach is beautifully elegant. However, for me solving algebraically is much faster than figuring the answer choices out.
_________________

- Stay Hungry, stay Foolish -

Kudos [?]: 81 [10], given: 134

Director
Director
avatar
Joined: 29 Nov 2012
Posts: 863

Kudos [?]: 1484 [0], given: 543

Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 29 Dec 2012, 19:44
The only way to solve this problem is by plugging in answer choices?
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Kudos [?]: 1484 [0], given: 543

Manager
Manager
User avatar
Joined: 24 Mar 2010
Posts: 76

Kudos [?]: 81 [0], given: 134

Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 30 Dec 2012, 01:11
fozzzy wrote:
The only way to solve this problem is by plugging in answer choices?


See this

in-the-figure-above-the-point-on-segment-pq-that-is-twice-a-139117.html#p1161061

If you need further elaboration, let me know.
_________________

- Stay Hungry, stay Foolish -

Kudos [?]: 81 [0], given: 134

Director
Director
avatar
Joined: 29 Nov 2012
Posts: 863

Kudos [?]: 1484 [0], given: 543

Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 30 Dec 2012, 02:10
I was thinking along those lines by forming a triangle and then solving it. This is a fairly easy question you can still use the answer choices but if its a bit more complicated I would like a fast approach.
Attachments

Plane 2.png
Plane 2.png [ 9.82 KiB | Viewed 26060 times ]


_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Kudos [?]: 1484 [0], given: 543

Manager
Manager
User avatar
Joined: 24 Mar 2010
Posts: 76

Kudos [?]: 81 [0], given: 134

Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 30 Dec 2012, 02:26
fozzzy wrote:
I was thinking of using similar triangle property, I was thinking along those lines by forming a triangle and then solving it.


You can solve it easily using similar triangles too but you've picked the wrong triangles

Take the triangle with vertices [ (-1, 0) , (1,1) , (0,0) ]

and the triangle with vertices [ (3, 2) , (1,1) , (3,0) ]

These two triangles are similar since their lengths are in the ration 1:2

and then you can proceed.
_________________

- Stay Hungry, stay Foolish -

Kudos [?]: 81 [0], given: 134

Manager
Manager
User avatar
Status: Prevent and prepare. Not repent and repair!!
Joined: 13 Feb 2010
Posts: 249

Kudos [?]: 137 [0], given: 282

Location: India
Concentration: Technology, General Management
GPA: 3.75
WE: Sales (Telecommunications)
Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 19 Jan 2013, 04:24
eaakbari wrote:
Lets see the algebraic solution.

A point P that divides a line AB internally into ratio m1 & m2 is as below.


A(x1,y1)____________m1_____________P(x3,y3)________________________m2__________________________B(x2,y2)

The formula for finding coordinates are as below.

\(x3 = (x1*m2 + x2*m1)/(m1 + m2)\)

\(y3 = (y1*m2 + y2*m1)/(m1 + m2)\)

Back to our question.

P (0,-1 ) & Q (3,2)

We fathom that m1 =2 & m2 = 1

\(x1 = 0 , y1 = -1\)

\(x2 = 3 , y1 = 2\)

Plugging values, we obtain answer as (2,1). Hence B

Once you know the formula its very easy.

P.S. Bunuel's approach is beautifully elegant. However, for me solving algebraically is much faster than figuring the answer choices out.



This is called section formula. It will be helpful. Thanks
_________________

I've failed over and over and over again in my life and that is why I succeed--Michael Jordan
Kudos drives a person to better himself every single time. So Pls give it generously
Wont give up till i hit a 700+

Kudos [?]: 137 [0], given: 282

Intern
Intern
User avatar
Joined: 16 Nov 2012
Posts: 38

Kudos [?]: 35 [0], given: 54

Location: United States
Concentration: Operations, Social Entrepreneurship
Schools: ISB '15, NUS '16
GMAT Date: 08-27-2013
GPA: 3.46
WE: Project Management (Other)
Reviews Badge
Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 19 Jan 2013, 10:25
http://www.teacherschoice.com.au/Maths_ ... Geom_3.htm

go through the page..

ans is (2,1)
_________________

.........................................................................................
Please give me kudos if my posts help.

Kudos [?]: 35 [0], given: 54

3 KUDOS received
Intern
Intern
avatar
Joined: 22 Jan 2012
Posts: 21

Kudos [?]: 53 [3], given: 11

Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 20 Jan 2013, 02:11
3
This post received
KUDOS
1
This post was
BOOKMARKED
I think with questions like these, the test writers are testing whether you'd quickly jump to using an algebraic approach, which in this case is much more time consuming, as compared to making the answer choices a part of your toolbox for finding the correct answer..
The question itself tells us we need to split the line into 3 equal parts with the asked coordinate being 2 parts away from P
A quick glance at the graph gives us the slope of 1, which easily shows us which points will cover the three segments
P(0,-1) --> (1,0) --> (2,1) --> Q(3,2)
Thus (2,1) being twice as far from P as from Q

True, an algebraic approach might be required for more complex problems where the slope isn't easily determined or the line segment might be split into a different ratio, but this question isn't testing that :)

Kudos [?]: 53 [3], given: 11

1 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1849

Kudos [?]: 2780 [1], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 06 Aug 2013, 01:41
1
This post received
KUDOS
Coordinates of point P = (0,-1)
Coordinates of point Q = (3,2)
Point required to be found is on segment PQ that is twice as far from P as from Q
So, adding (2,2) to point P (0,-1)
Answer = B = (2,1)
_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2780 [1], given: 193

Manager
Manager
avatar
B
Joined: 10 Mar 2014
Posts: 237

Kudos [?]: 110 [0], given: 13

Premium Member
Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 10 Aug 2014, 23:59
We can solve this question by applying distance formula also.

distance between two points

sqrt((x2-x1) +(y2-y1))^2

Here we take options one by one

P(0,-1) q(3,2)

when we take option (2,1)

we get distance sqrt(8) from point p sqrt (2) from point q.

so this point is twice as far as from point q.

Kudos [?]: 110 [0], given: 13

Expert Post
1 KUDOS received
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1771

Kudos [?]: 972 [1], given: 5

Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 27 May 2016, 07:23
1
This post received
KUDOS
Expert's post
Bunuel wrote:
Attachment:
Plane.png
In the figure above, the point on segment PQ that is twice as far from P as from Q is

(A) (3,1)
(B) (2,1)
(C) (2,-1)
(D) (1.5,0.5)
(E) (1,0)


Solution:

This is an interesting problem because, although we usually prefer an algebraic approach to solving GMAT questions, the quickest way to solve this problem is to analyze each answer choice in relation to the graph. We need to determine which answer choice gives us a point on the graph that is twice as far from P as from Q. This means that it is closer to Q than to P.

We are given that point Q is at (3,2) and point P is at (0,-1). Let’s start with answer choice A.

A) (3,1)

Looking at the graph we see that (3,1) is not even on line segment PQ. Answer choice A is not correct.

B) (2,1)

Looking at the graph we see that (2,1) is on line segment PQ and it is closer to Q than it is to P. We could use the distance formula to determine the actual distances, but let's wait to see if this is necessary. Let’s test the other answer choices to be certain that answer choice B is correct.

C) (2,-1)

Looking at the graph we see that (2,-1) is not even on line segment PQ. Answer choice C is not correct.

D) (1.5,0.5)

Looking at the graph we see that (1.5,0.5) is on line segment PQ; however, it appears to be about halfway between P and Q. Answer choice D is not correct.

E) (1,0)

Looking at the graph we see that (1,0) is on line segment PQ; however, it is closer to P than to Q. Answer choice E is not correct.
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 972 [1], given: 5

Intern
Intern
User avatar
B
Joined: 08 May 2016
Posts: 32

Kudos [?]: 8 [0], given: 24

Location: United States
WE: Project Management (Aerospace and Defense)
Re: In the figure above, the point on segment PQ that is twice a [#permalink]

Show Tags

New post 21 Nov 2016, 12:01
I felt the question is confusing. Shouldn't it be "In the figure above, the point on segment PQ that is half as far from P as from Q is"?
_________________

What's your totem?

Kudos [?]: 8 [0], given: 24

Re: In the figure above, the point on segment PQ that is twice a   [#permalink] 21 Nov 2016, 12:01

Go to page    1   2    Next  [ 24 posts ] 

Display posts from previous: Sort by

In the figure above, the point on segment PQ that is twice a

  new topic 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 | 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®.