Find all School-related info fast with the new School-Specific MBA Forum

It is currently 23 Jul 2014, 20:23

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In the figure attached: ABC is a right triangle touching a

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
User avatar
Joined: 30 Nov 2006
Posts: 592
Location: Kuwait
Followers: 11

Kudos [?]: 139 [0], given: 0

GMAT Tests User
In the figure attached: ABC is a right triangle touching a [#permalink] New post 21 Dec 2006, 05:25
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
In the figure attached: [note: figure not drawn to scale]

ABC is a right triangle touching a semicircle with center O. If angle BOD = 60 degrees and segment AC = 12. What is the length of the curve segment on the semicircle between points D and E ?

(1) angles BOD = COE

(2) angles BAC = BCA


Tell me how you like this question. I actually made it up ! :)
Attachments

geometry_1.jpg
geometry_1.jpg [ 9.41 KiB | Viewed 296 times ]


Last edited by Mishari on 21 Dec 2006, 15:22, edited 3 times in total.
Senior Manager
Senior Manager
avatar
Joined: 08 Jun 2006
Posts: 343
Location: Washington DC
Followers: 1

Kudos [?]: 12 [0], given: 0

GMAT Tests User
 [#permalink] New post 21 Dec 2006, 05:49
Going for C

From 1) Only angles are given ...no info on radius ...can't calculate

From 2) can calculate the radius, but no info on angle inside the semicircle..can't calculate

Together -
Can calculate radius and then the arc..

BOE + COD = 2 BOE = 120

So angle EOD = 60
... so the arc (2 pi r) * (60 / 360)

but the diagram is not as per the information given..it will look good if we swap D and E...
Generally, these types of questions come with a statutory warning :) ... not as per the scale ...

By the way, the question will be good if it says BOE = COD = 120, answer will be same
Director
Director
User avatar
Joined: 30 Nov 2006
Posts: 592
Location: Kuwait
Followers: 11

Kudos [?]: 139 [0], given: 0

GMAT Tests User
 [#permalink] New post 21 Dec 2006, 05:54
THanks alot anindyat

I modified the question. I guess now it looks alot better
Senior Manager
Senior Manager
avatar
Joined: 24 Oct 2006
Posts: 341
Followers: 1

Kudos [?]: 13 [0], given: 0

GMAT Tests User
 [#permalink] New post 21 Dec 2006, 08:13
I have a question regarding the question.

If BOE=60 then BOD can't be equal to COE.

If that BOE is a typo for DOE then we need only the radius so B is the ans

Guess you need to correct the question again.

P.S.: Good thinking, good question!
Director
Director
User avatar
Joined: 30 Nov 2006
Posts: 592
Location: Kuwait
Followers: 11

Kudos [?]: 139 [0], given: 0

GMAT Tests User
 [#permalink] New post 21 Dec 2006, 15:24
THanks Sumithra

I wrote the question first on a piece of paper. When i typed the question of my computer, i kinda missed up some of the angles :)

The problem is fixed right now and everything makes a perfect sense.
Director
Director
User avatar
Joined: 30 Nov 2006
Posts: 592
Location: Kuwait
Followers: 11

Kudos [?]: 139 [0], given: 0

GMAT Tests User
 [#permalink] New post 22 Dec 2006, 00:43
OA is C

Here is why:

Given: BOD = 60 degrees and AC = 12

(1) BOD = COE
-------------------
if BOD = COE = 60 degrees, then we can calculate the value of the angle DOE = 180 - (2 x 60 ) = 60
yet, we know nothing about the radius of the semicircle

statement 1 is insufficient

(2) BAC = BCA
--------------------
Here we know that the right triangle is actually an isosceles triangle
therefore, AB = BC and angles BAC = BCA = 45 degrees

Therefore, we can find the length of BC = 12 / sqrt(2)
--> the radius of the semicircle = BC/2 = 6/sqrt(2)
The circumference of the circle is 2 pi * 6/sqrt(2) = 12 pi/ sqrt(2)

yet, we know nothing about the angle DOE

statement 2 is insufficient

(1) and (2) together
-------------------------
from a property of circles:

curve DE/ circumference of the circle = angle DOE / 360

DE / ( 2 pi / sqrt(2) ) = 60/360

--> curve DE = sqrt (2) / 12 pi

Answer is C
  [#permalink] 22 Dec 2006, 00:43
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic Is ABC a right triangle? smartyman 1 24 Jun 2014, 06:59
3 Experts publish their posts in the topic If ABD is a triangle, is triangle ABC a right triangle joylive 18 07 Dec 2012, 08:24
8 Experts publish their posts in the topic In the figure, ABC is an equilateral triangle, and DAB is enigma123 13 03 Mar 2012, 12:06
7 Experts publish their posts in the topic In the figure, ABC is an equilateral triangle, and DAB is a anilnandyala 4 01 Dec 2010, 05:29
In the figure (attached), ABC is an equilateral triangle, crejoc 10 08 Aug 2009, 06:41
Display posts from previous: Sort by

In the figure attached: ABC is a right triangle touching a

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.