Last visit was: 25 Apr 2026, 08:23 It is currently 25 Apr 2026, 08:23
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
555-605 (Medium)|   Geometry|      
User avatar
gmatt1476
User avatar
Joined: 04 Sep 2017
Last visit: 04 Feb 2026
Posts: 540
Own Kudos:
27,336
 [49]
Given Kudos: 72
Posts: 540
Kudos: 27,336
 [49]
In the figure above, B is on AC, D is on AE, AB has the same length as 21 Sep 2019, 18:02
Kudos
Add Kudos
49
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

72% (01:52) correct 28% (02:08) wrong based on 1128 sessions

History

Date
Time
Result
Not Attempted Yet

In the figure above, B is on AC, D is on AE, AB has the same length as BC, and \(\angle ABD\) has the same measure as \(\angle ACE\). What is the length of DB ?

(1) The length of EC is 6.
(2) The length of DE is 5.


DS29831.01

Show Spoiler
Attachment:
2019-09-22_0458.png
2019-09-22_0458.png [ 10 KiB | Viewed 16826 times ]
ShowHide Answer
Official Answer
A
If this question felt shaky, try an adaptive mini quiz of similar problems in GMAT Club Forum Quiz →. Free plan gives 5 questions per day.
User avatar
pzgupta
User avatar
Joined: 20 Jun 2019
Last visit: 26 Jun 2021
Posts: 35
Own Kudos:
137
 [3]
Given Kudos: 81
Posts: 35
Kudos: 137
 [3]
In the figure above, B is on AC, D is on AE, AB has the same length as 23 Sep 2019, 02:56
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
gmatt1476

In the figure above, B is on AC, D is on AE, AB has the same length as BC, and \(\angle ABD\) has the same measure as \(\angle ACE\). What is the length of DB ?

(1) The length of EC is 6.
(2) The length of DE is 5.


DS29831.01

Show Spoiler
Attachment:
2019-09-22_0458.png
Show more

in the triangles ABD and ACE
\(\angle ABD\) = \(\angle ACE\)
\(\angle A\) is common
\(\angle ADB\) = \(\angle AEC\)

Hence the two triangles are similar.
=> ratio of AB and AC = Ratio of DB and EC
(1) When EC = 6 we can calculate DB by the above
SUFFICIENT

(2)DE = 5
There is no way to know DB from this.
INSUFFICIENT

Hence A IMO
avatar
Shishou
avatar
Joined: 10 Jun 2019
Last visit: 08 Apr 2021
Posts: 103
Own Kudos:
92
 [3]
Given Kudos: 112
Products:
My Reviews
Posts: 103
Kudos: 92
 [3]
In the figure above, B is on AC, D is on AE, AB has the same length as 23 Sep 2019, 16:03
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The two triangles are similar triangle. From the base the ratio of their sides is 2 :1.

Statement 1 :knowing that EC is 6, we can tell that DB is 3.
Statement 2 : we can tell that DE is 5 and hence AD is 5 but that does not give us the value of DB.

answer is A
avatar
Shobhit7
avatar
Joined: 01 Feb 2017
Last visit: 29 Apr 2021
Posts: 239
Own Kudos:
432
 [2]
Given Kudos: 148
Posts: 239
Kudos: 432
 [2]
In the figure above, B is on AC, D is on AE, AB has the same length as 24 Sep 2019, 02:12
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
AB=BC, so B is the mid-point of AC.

Angle ABD = Angle ACE, so we can conclude that line DB is parallel to line CE as stated angles are corresponding angles to these parallel lines.

We can simple apply mid-point theorem and conclude that DB is half of CE.

St1 provides the value of CE whereas St2 does not.

Hence, Ans A
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 25 Apr 2026
Posts: 6,977
Own Kudos:
16,916
 [2]
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
My Reviews
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,977
Kudos: 16,916
 [2]
In the figure above, B is on AC, D is on AE, AB has the same length as 01 Aug 2020, 02:11
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
gmatt1476

In the figure above, B is on AC, D is on AE, AB has the same length as BC, and \(\angle ABD\) has the same measure as \(\angle ACE\). What is the length of DB ?

(1) The length of EC is 6.
(2) The length of DE is 5.


DS29831.01

Show Spoiler
Attachment:
2019-09-22_0458.png
Show more

Answer: Option A


User avatar
CEdward
User avatar
Joined: 11 Aug 2020
Last visit: 14 Apr 2022
Posts: 1,161
Own Kudos:
289
Given Kudos: 332
Posts: 1,161
Kudos: 289
In the figure above, B is on AC, D is on AE, AB has the same length as 19 Feb 2021, 23:06
Kudos
Add Kudos
Bookmarks
Bookmark this Post
No calculations required.

In the figure above, B is on AC, D is on AE, AB has the same length as BC, and ∠ABD∠ABD has the same measure as ∠ACE∠ACE. What is the length of DB ?

(1) The length of EC is 6.
The stem tells us that EC and DB are parallel to one another and that DB is the mid-segment of EC. Hence, DB = 3.
Sufficient.

(2) The length of DE is 5.
There's nothing else we can determine from this.
Insufficient.

A
User avatar
GMATWhizTeam
User avatar
GMATWhiz Representative
Joined: 07 May 2019
Last visit: 17 Mar 2026
Posts: 3,374
Own Kudos:
2,193
Given Kudos: 70
Location: India
GMAT 1: 740 Q50 V41
GMAT 2: 760 Q51 V40
Expert
Expert reply
GMAT 2: 760 Q51 V40
Posts: 3,374
Kudos: 2,193
In the figure above, B is on AC, D is on AE, AB has the same length as 21 May 2022, 23:59
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Step 1: Analyse Question Stem

Invaluable question data given in this question, including the figure.

Triangles ABD and ACE share a common angle A.
Angle ABD = Angle ACE.
Two angles of triangle ABD are equal to two angles of triangle ACE. Therefore, angle ADB MUST be equal to angle AEC and so, the two triangles must be similar.

Since the two triangles are similar, the corresponding sides are in proportion.

\(\frac{AB }{ AC}\) = \(\frac{AD }{ AE}\) = \(\frac{BD }{ CE}\)

Let us note that AC = AB + BC; also AB = BC. Therefore, AC = 2 AB or \(\frac{AB }{ AC }\)= \(\frac{1 }{ 2}\).

Therefore, \(\frac{AD }{ AE}\) = \(\frac{BD }{ CE}\) = \(\frac{1 }{ 2}\)

Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE

Statement 1: The length of EC is 6.

Using the ratio from the analysis of the question, \(\frac{BD }{ CE}\) = \(\frac{1 }{ 2}\)
Therefore, BD = 3

The data in statement 1 is sufficient to find a unique value for the length of DB
Statement 1 alone is sufficient. Answer options B, C and E can be eliminated.

Statement 2: The length of DE is 5

From the ratio in the analysis of the question, we know that \(\frac{AD }{ AE}\) = \(\frac{1 }{ 2}\)
Also, AE = AD + DE and DE = 5.

\(\frac{AD }{ AD + 5}\) = \(\frac{1 }{ 2}\)

Simplifying and solving, we have AD = 5.
Knowing AD is not sufficient to find the value of EC and hence DB.

The data in statement 2 is insufficient to find a unique value for the length of DB
Statement 2 alone is insufficient. Answer option D can be eliminated.

The correct answer option is A.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,985
Own Kudos:
1,117
Posts: 38,985
Kudos: 1,117
In the figure above, B is on AC, D is on AE, AB has the same length as 07 Aug 2023, 00:29
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
109827 posts
kingbucky
498 posts
Gmat860sanskar
212 posts