GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 25 May 2019, 02:20

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

Suppose the areas of the two sectors shown are equal, what is the rati

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55271
Suppose the areas of the two sectors shown are equal, what is the rati  [#permalink]

Show Tags

New post 11 Sep 2018, 03:10
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

83% (01:00) correct 17% (00:50) wrong based on 14 sessions

HideShow timer Statistics

Image
Image
Suppose the areas of the two sectors shown are equal, what is the ratio of angle a to angle b?


(1) The ratio of the radius of circle A to that of circle B is 3 : 1.

(2) The ratio of the area of circle A to that of circle B is 9 : 1.



Attachment:
image011.jpg
image011.jpg [ 3.28 KiB | Viewed 336 times ]

Attachment:
image012.jpg
image012.jpg [ 2.59 KiB | Viewed 337 times ]

_________________
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2933
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: Suppose the areas of the two sectors shown are equal, what is the rati  [#permalink]

Show Tags

New post 11 Sep 2018, 04:17
Bunuel wrote:
Image
Image
Suppose the areas of the two sectors shown are equal, what is the ratio of angle a to angle b?


(1) The ratio of the radius of circle A to that of circle B is 3 : 1.

(2) The ratio of the area of circle A to that of circle B is 9 : 1.



Attachment:
image011.jpg

Attachment:
image012.jpg


Ratio of areas = \(angle_1 * r_1^2 / angle_2 * r_2^2\)

now we know that \(angle_1 * r_1^2 = angle_2 * r_2^2\) because ratio of area is 1 as bopth are equal

hence, \(angle_1 / angle_2 = r_2^2 / r_1^2\)

So we need to know only the ratio of the radius


Question : FInd ratio of angles of the two sectors?

Statement 1: The ratio of the radius of circle A to that of circle B is 3 : 1.

SUFFICIENT as per the above reasoning mentioned

Statement 2: The ratio of the area of circle A to that of circle B is 9 : 1.

Ratio of area is same as square of ratio of radius which is needed to answer the question hence

SUFFICIENT

Answer: option D
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
GMAT Club Bot
Re: Suppose the areas of the two sectors shown are equal, what is the rati   [#permalink] 11 Sep 2018, 04:17
Display posts from previous: Sort by

Suppose the areas of the two sectors shown are equal, what is the rati

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.