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

It is currently 19 Sep 2018, 00:17

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

What is the area of the shaded region in the circle above?

  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: 49251
What is the area of the shaded region in the circle above?  [#permalink]

Show Tags

New post 30 Aug 2018, 05:16
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

88% (00:32) correct 13% (00:42) wrong based on 24 sessions

HideShow timer Statistics

Image
What is the area of the shaded region in the circle above?

(1) The radii shown are 60 degrees apart.
(2) The radius of the circle is 2.


Attachment:
image019 (1).jpg
image019 (1).jpg [ 2.03 KiB | Viewed 249 times ]

_________________

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

Senior Manager
Senior Manager
User avatar
S
Joined: 07 Oct 2017
Posts: 273
Re: What is the area of the shaded region in the circle above?  [#permalink]

Show Tags

New post 30 Aug 2018, 05:24
1
Bunuel wrote:
Image
What is the area of the shaded region in the circle above?

(1) The radii shown are 60 degrees apart.
(2) The radius of the circle is 2.


Attachment:
image019 (1).jpg
Shaded area - - - > area of sector - area of triangle

Minimum info needed is angle of Arc and radius

St1) just tells that triangle is equilateral (60-60-60---> both radius gives equal angle)

Radius is still missing

Not sufficient

St2) gives radius but not central angle

Combining
We have both required. Don't calculate. Be assure that you know the answer can be derived.

Imho answer is C

Thank you = Kudos
_________________

Thank you =Kudos
The best thing in life lies on the other side of the pain.

SVP
SVP
User avatar
P
Joined: 08 Jul 2010
Posts: 2298
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: What is the area of the shaded region in the circle above?  [#permalink]

Show Tags

New post 30 Aug 2018, 05:27
Bunuel wrote:
Image
What is the area of the shaded region in the circle above?

(1) The radii shown are 60 degrees apart.
(2) The radius of the circle is 2.


Attachment:
image019 (1).jpg



PLAN: Area of the shaded region = Area of sector - Area of the unshaded triangle in the sector

Also, Area of Sector = (angle/360)*2πr


Question : Area of the shaded region = ?

Statement 1: The radii shown are 60 degrees apart

This gives us only the angle at the centre which also ensures that other two angles of unshaded triangle are 60º (as other two sides are equal to radius) but it doesn't give us the length of radius hence

NOT SUFFICIENT

Statement 2: The radius of the circle is 2

Now, we know the radius but we don't know the angle at the centre of the sector hence

NOT SUFFICIENT

COmbining the two statements

Area of sector = (60/360)*2π*2 = (2/3)π
Area of the unshaded triangle = (√3/4)*2^2 = √3

Hence area of the shaded region = (2/3)π - √3

SUFFICIENT

Answer: option C
_________________

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

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Re: What is the area of the shaded region in the circle above? &nbs [#permalink] 30 Aug 2018, 05:27
Display posts from previous: Sort by

What is the area of the shaded region in the circle above?

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

Events & Promotions

PREV
NEXT


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®.