It is currently 20 Feb 2018, 07:56

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

If E is the midpoint of AD, what is the length of EB?

  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: 43829
If E is the midpoint of AD, what is the length of EB? [#permalink]

Show Tags

New post 21 May 2017, 09:57
Expert's post
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

57% (00:36) correct 43% (00:53) wrong based on 98 sessions

HideShow timer Statistics

Image
If E is the midpoint of AD, what is the length of EB?

(1) ∠D = 60°
(2) DC = 4


[Reveal] Spoiler:
Attachment:
2017-05-21_2155.png
2017-05-21_2155.png [ 6.28 KiB | Viewed 951 times ]
[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

DS Forum Moderator
avatar
G
Joined: 21 Aug 2013
Posts: 786
Location: India
Premium Member CAT Tests
Re: If E is the midpoint of AD, what is the length of EB? [#permalink]

Show Tags

New post 21 May 2017, 10:19
Since both EB and DC are perpendicular on the same line, EB is parallel to DC.
Thus angle AEB = angle ADC (corresponding angles)

Also by mid point theorem of a triangle, since E is the mid point of AD and EB||DC,
B must be the mid point of AC and EB = DC/2

Statement 1. angle ADC = 60 , so angle AEB is also = 60
Triangle AEB is a 30-60-90 triangle. So we know the ratio of sides of this triangle.
But since none of the three sides is given, we cannot find anything. So Insufficient

Statement 2. DC = 4, so EB = DC/2 = 2 (mid point theorem)
Sufficient

Hence answer is B
Manager
Manager
avatar
B
Status: Preparing
Joined: 05 May 2016
Posts: 58
Location: India
Concentration: International Business, Finance
Re: If E is the midpoint of AD, what is the length of EB? [#permalink]

Show Tags

New post 21 May 2017, 11:12
Bunuel wrote:
Image
If E is the midpoint of AD, what is the length of EB?

(1) ∠D = 60°
(2) DC = 4


[Reveal] Spoiler:
Attachment:
2017-05-21_2155.png



I think b alone is sufficient as it provides measure of a side.
Triangles AEB and ADC are similar(Angle A is common, Angle b and c are 90 degrees, angle E and D will be equal)
AE/ED=EB/DC
1/2=EB/4
EB=2.

Please correct me if i am wrong.
Director
Director
avatar
S
Joined: 21 Mar 2016
Posts: 551
Reviews Badge
Re: If E is the midpoint of AD, what is the length of EB? [#permalink]

Show Tags

New post 24 May 2017, 19:55
stat1: gives info about angles..no info on length ..not suff

stat2: EB and DC are parallel,,, using Basic proprtionality theorem,, EB = 1/2 DC,...suff

ans B
Director
Director
avatar
S
Joined: 12 Nov 2016
Posts: 790
Re: If E is the midpoint of AD, what is the length of EB? [#permalink]

Show Tags

New post 06 Sep 2017, 21:23
Bunuel wrote:
Image
If E is the midpoint of AD, what is the length of EB?

(1) ∠D = 60°
(2) DC = 4


[Reveal] Spoiler:
Attachment:
2017-05-21_2155.png


If we understand that these are similar triangles and that EB is the midline, then we can clearly see that EB must be half of AD in order to maintain similarity and proportionality.

B
Re: If E is the midpoint of AD, what is the length of EB?   [#permalink] 06 Sep 2017, 21:23
Display posts from previous: Sort by

If E is the midpoint of AD, what is the length of EB?

  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®.