Last visit was: 13 Sep 2026, 02:45 It is currently 13 Sep 2026, 02:45
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
805+ (Hard)|   Geometry|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 13 Sep 2026
Posts: 113,481
Own Kudos:
840,958
 [4]
Given Kudos: 111,490
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,481
Kudos: 840,958
 [4]
D, E and F are points on the sides of triangle ABC above, such that qu 02 May 2021, 00:15
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

95% (hard)

Question Stats:

34% (02:53) correct 66% (02:43) wrong based on 38 sessions

History

Date
Time
Result
Not Attempted Yet

D, E and F are points on the sides of triangle ABC above, such that quadrilateral AEFD is a rectangle. If DC=1, and CF=4, what is the value of AD?

(1) 3EB = AB

(2) FB = 2

Show Spoiler
Attachment:
1.jpg
1.jpg [ 8.24 KiB | Viewed 2362 times ]
ShowHide Answer
Official Answer
D
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
User avatar
TestPrepUnlimited
User avatar
Joined: 17 Sep 2014
Last visit: 30 Jun 2022
Posts: 1,221
Own Kudos:
1,158
Given Kudos: 6
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Expert
Expert reply
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Posts: 1,221
Kudos: 1,158
D, E and F are points on the sides of triangle ABC above, such that qu 03 May 2021, 18:45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

D, E and F are points on the sides of triangle ABC above, such that quadrilateral AEFD is a rectangle. If DC=1, and CF=4, what is the value of AD?

(1) 3EB = AB

(2) FB = 2

Show more

Note \(\triangle CDF\) and \(\triangle FEB\) are similar. We have the complete dimensions for \(\triangle CDF\), and we know the shape of \(\triangle FEB\) has to be the same. Knowing any length in \(\triangle FEB\) will confirm the triangle's size and will fix the rest of the graph.

Statement 1:

\(AB = AE + EB = DF + EB\). Then we have \(3EB = AB = DF + EB\) and \(DF = 2EB\). We could find DF then EB so we found one length in \(\triangle FEB\), sufficient.

Statement 2:

Sufficient.

Ans: D
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,230
Own Kudos:
1,158
Posts: 39,230
Kudos: 1,158
D, E and F are points on the sides of triangle ABC above, such that qu 19 Oct 2023, 12:24
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.
Moderator:
Bunuel
Math Expert
113481 posts