Last visit was: 19 Nov 2025, 07:49 It is currently 19 Nov 2025, 07:49
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
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
505-555 Level|   Geometry|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 Nov 2025
Posts: 105,389
Own Kudos:
778,255
 [2]
Given Kudos: 99,977
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: 105,389
Kudos: 778,255
 [2]
A, B, C and D are points on a line, with D the midpoint of segment BC. 12 Jul 2017, 23:41
Kudos
Add Kudos
2
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:

15% (low)

Question Stats:

85% (01:54) correct 15% (02:20) wrong based on 108 sessions

History

Date
Time
Result
Not Attempted Yet
A, B, C and D are points on a line, with D the midpoint of segment BC. The lengths of segments AB, AC and BC are 10, 2, 12, respectively. What is the length of segment AD?

(A) 2
(B) 4
(C) 6
(D) 10
(E) 12
ShowHide Answer
Official Answer
B
User avatar
shashankism
User avatar
Joined: 13 Mar 2017
Last visit: 23 Dec 2024
Posts: 609
Own Kudos:
694
Given Kudos: 88
Affiliations: IIT Dhanbad
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE:Engineering (Energy)
Posts: 609
Kudos: 694
A, B, C and D are points on a line, with D the midpoint of segment BC. 13 Jul 2017, 01:05
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A, B, C and D are points on a line, with D the midpoint of segment BC. The lengths of segments AB, AC and BC are 10, 2, 12, respectively. What is the length of segment AD?

(A) 2
(B) 4
(C) 6
(D) 10
(E) 12
Show more

To solve this problem we will have to keep thinking about the points on the line while reading the question..
So lets start with point D.
Since D is midpoint of BC
B............D............C
Also BC = 12
B......6......D......6......C

Now, AC = 2.
A can be either left of C or right of C
If A is left of C , AB = 12-2 = 10 (Correct)
If A is right of C AB = 12 +2 = 14 (Incorrect)

So the points placing is as below
B......6......D....4....A..2..C

Length of segment AD = 4

Answer B
User avatar
Luckisnoexcuse
User avatar
Current Student
Joined: 18 Aug 2016
Last visit: 16 Apr 2022
Posts: 519
Own Kudos:
668
Given Kudos: 198
Concentration: Strategy, Technology
Schools: Kenan-Flagler '20 (M)
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Products:
My Reviews
Schools: Kenan-Flagler '20 (M)
GMAT 2: 740 Q51 V38
Posts: 519
Kudos: 668
A, B, C and D are points on a line, with D the midpoint of segment BC. 13 Jul 2017, 01:09
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A, B, C and D are points on a line, with D the midpoint of segment BC. The lengths of segments AB, AC and BC are 10, 2, 12, respectively. What is the length of segment AD?

(A) 2
(B) 4
(C) 6
(D) 10
(E) 12
Show more

Given Information

C.....A........................D.................................B
<----------6-------------->
<-2->

Hence AD is 4 B
User avatar
generis
User avatar
Senior SC Moderator
Joined: 22 May 2016
Last visit: 18 Jun 2022
Posts: 5,272
Own Kudos:
37,387
Given Kudos: 9,464
Expert
Expert reply
Posts: 5,272
Kudos: 37,387
A, B, C and D are points on a line, with D the midpoint of segment BC. 13 Jul 2017, 10:18
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A, B, C and D are points on a line, with D the midpoint of segment BC. The lengths of segments AB, AC and BC are 10, 2, 12, respectively. What is the length of segment AD?

(A) 2
(B) 4
(C) 6
(D) 10
(E) 12
Show more
Try to find endpoints first. D cannot be one; it's a midpoint.

Consider that BC at 12 has the greatest length. AC and AB sum to BC. Therefore, like D, A is between B and C. They must be the endpoints, with D halfway between, at D = 6.

Start with B, C , and D.

We have either

B_______6________D______6_______C ---------> OR

C_______6________D______6_______B

Now there's A, whose placement will yield which order above is correct. AC(CA) = 2. AB = 10. A is much closer to C, and CA + AB = CB(BC), which is 2 + 10 = 12. Correct. Order and values must be

C_______A___________D_________________B
0_______2___________6_________________12

D=6, A=2. AD = 4.

Answer B
User avatar
longhaul123
User avatar
Joined: 03 Jul 2017
Last visit: 11 Nov 2018
Posts: 139
Own Kudos:
35
Given Kudos: 27
Status:IF YOU CAN DREAM IT, YOU CAN DO IT
Location: India
Concentration: Finance, International Business
Posts: 139
Kudos: 35
A, B, C and D are points on a line, with D the midpoint of segment BC. 15 Jul 2017, 01:18
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Since the longest length of the given line is 12 then the end points are B and C also since D is the midpoint of the line BD=DC , DC= DA+AC DC=6 , AC =2 and so AD= 6-2=4

Am i correct in my explanation?? Thank you
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,588
Own Kudos:
1,079
Posts: 38,588
Kudos: 1,079
A, B, C and D are points on a line, with D the midpoint of segment BC. 02 Sep 2024, 09:34
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderators:
Bunuel
Math Expert
105389 posts
Krunaal
Tuck School Moderator
805 posts