Last visit was: 25 Apr 2026, 01:04 It is currently 25 Apr 2026, 01:04
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 25 Apr 2026
Posts: 109,822
Own Kudos:
811,114
 [10]
Given Kudos: 105,878
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,822
Kudos: 811,114
 [10]
In the figure above, the point on segment PQ that is twice as far from 13 Dec 2017, 20:55
1
Kudos
Add Kudos
9
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

75% (01:45) correct 25% (01:59) wrong based on 252 sessions

History

Date
Time
Result
Not Attempted Yet

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)

Show Spoiler
Attachment:
2017-12-12_2124.png
2017-12-12_2124.png [ 8.75 KiB | Viewed 4964 times ]
ShowHide Answer
Official Answer
B
Most Helpful Reply
User avatar
jedit
User avatar
Joined: 14 Oct 2015
Last visit: 07 Sep 2021
Posts: 201
Own Kudos:
387
 [6]
Given Kudos: 854
Schools: Stanford '20 HBS '20 Sloan '20
GPA: 3.57
Products:
My Reviews
Schools: Stanford '20 HBS '20 Sloan '20
Posts: 201
Kudos: 387
 [6]
In the figure above, the point on segment PQ that is twice as far from 13 Dec 2017, 22:58
2
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
Bunuel

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)

Show Spoiler
Attachment:
2017-12-12_2124.png
Show more


It should be B.

x and y both change by 3. Traveling 2 from 0 and -1 (P) on both x and y axes would give us the point that is two times farther from P as it is from Q.
General Discussion
avatar
Roosh18
avatar
Joined: 03 May 2019
Last visit: 13 Jan 2020
Posts: 5
Own Kudos:
5
 [1]
Given Kudos: 36
Posts: 5
Kudos: 5
 [1]
In the figure above, the point on segment PQ that is twice as far from 29 Aug 2019, 10:27
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Any proper solution to this question?
avatar
NutHead
avatar
Current Student
Joined: 26 Aug 2018
Last visit: 18 May 2023
Posts: 35
Own Kudos:
40
 [3]
Given Kudos: 96
Location: India
Concentration: General Management, Technology
Schools: ISB'22 (I) Rotman '23 (A$) MBS'23 (A$)
GMAT 1: 680 Q49 V33
Schools: ISB'22 (I) Rotman '23 (A$) MBS'23 (A$)
GMAT 1: 680 Q49 V33
Posts: 35
Kudos: 40
 [3]
In the figure above, the point on segment PQ that is twice as far from 03 Sep 2019, 18:01
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Roosh18
Any proper solution to this question?
Show more

Hi ,

The points can be found out by the section formula as below
P = (mx2+nx1/m+n , my2+ny1/m+n)
P= [(2*3 + 1*0 / 2+1), 2*2+1*-1 /2+1]
P= 2.1,1
avatar
raoshahb
avatar
Joined: 17 Feb 2013
Last visit: 23 Nov 2022
Posts: 13
Own Kudos:
12
 [1]
Given Kudos: 87
Location: India
Schools: HBS '20 Wharton '20 Stanford '20 Madison '20 (D) Cox '20 (I)
GMAT 1: 570 Q46 V23
GMAT 2: 690 Q49 V34
GPA: 4
Products:
My Reviews
Schools: HBS '20 Wharton '20 Stanford '20 Madison '20 (D) Cox '20 (I)
GMAT 2: 690 Q49 V34
Posts: 13
Kudos: 12
 [1]
In the figure above, the point on segment PQ that is twice as far from 17 May 2021, 17:06
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

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)

Show Spoiler
Attachment:
2017-12-12_2124.png
Show more

The distance between P & Q is sqrt((3-0)^2+(2+1)^2), which is 3sqrt(2).

The question asked for the point on PQ segment which is twice as far from P as from Q so if the total length of the segment is 3sqrt(2), the distance of the point from P should be 2sqrt(2) and from Q should be sqrt(2).

So I am getting no answer. Can anybody please explain where I am going wrong?
User avatar
StacyArko
User avatar
Joined: 24 Jan 2020
Last visit: 24 Apr 2026
Posts: 23
Own Kudos:
7
Given Kudos: 156
Location: Ghana
GMAT 1: 600 Q39 V34
Products:
Forum Quiz
GMAT 1: 600 Q39 V34
Posts: 23
Kudos: 7
In the figure above, the point on segment PQ that is twice as far from 01 Aug 2021, 07:04
Kudos
Add Kudos
Bookmarks
Bookmark this Post
raoshahb
Bunuel

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)

Show Spoiler
Attachment:
2017-12-12_2124.png

The distance between P & Q is sqrt((3-0)^2+(2+1)^2), which is 3sqrt(2).

The question asked for the point on PQ segment which is twice as far from P as from Q so if the total length of the segment is 3sqrt(2), the distance of the point from P should be 2sqrt(2) and from Q should be sqrt(2).

So I am getting no answer. Can anybody please explain where I am going wrong?
Show more

I think using the midpoint formula might help. However in this case, you weight point P by 2 and point Q by 1. And so the divisor will be 3.

Posted from my mobile device
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,978
Own Kudos:
1,117
Posts: 38,978
Kudos: 1,117
In the figure above, the point on segment PQ that is twice as far from 27 Oct 2025, 03:17
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109822 posts
Krunaal
Tuck School Moderator
853 posts