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

It is currently 13 Nov 2018, 08:53

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 in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • Essential GMAT Time-Management Hacks

     November 14, 2018

     November 14, 2018

     07:00 PM PST

     08:00 PM PST

    Join the webinar and learn time-management tactics that will guarantee you answer all questions, in all sections, on time. Save your spot today! Nov. 14th at 7 PM PST
  • $450 Tuition Credit & Official CAT Packs FREE

     November 15, 2018

     November 15, 2018

     10:00 PM MST

     11:00 PM MST

    EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)

In the diagram above, points A, B, C, D, and E all lie on the same lin

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

Hide Tags

Senior SC Moderator
User avatar
V
Joined: 14 Nov 2016
Posts: 1316
Location: Malaysia
GMAT ToolKit User Premium Member CAT Tests
In the diagram above, points A, B, C, D, and E all lie on the same lin  [#permalink]

Show Tags

New post 13 Feb 2017, 07:01
3
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

63% (02:09) correct 37% (02:51) wrong based on 89 sessions

HideShow timer Statistics

Image
In the diagram above, points A, B, C, D, and E all lie on the same line. Point B is the center of a smaller circle, on which points A and D lie. Point C is the center of a larger circle, on which points A and E lie. If the straight-line distance from point C to point D is two meters and the straight-line distance from point D to point E is 8 meters, what percentage of the larger circle is filled by the smaller circle?

A. 16%
B. 25%
C. 36%
D. 50%
E. 64%

Attachment:
Untitled.jpg
Untitled.jpg [ 11.82 KiB | Viewed 989 times ]

_________________

"Be challenged at EVERY MOMENT."

“Strength doesn’t come from what you can do. It comes from overcoming the things you once thought you couldn’t.”

"Each stage of the journey is crucial to attaining new heights of knowledge."

Rules for posting in verbal forum | Please DO NOT post short answer in your post!

Advanced Search : https://gmatclub.com/forum/advanced-search/

SC Moderator
User avatar
D
Joined: 13 Apr 2015
Posts: 1691
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
GMAT ToolKit User Premium Member
Re: In the diagram above, points A, B, C, D, and E all lie on the same lin  [#permalink]

Show Tags

New post 13 Feb 2017, 19:04
1
CD = 2; DE = 8

CE = AC = 10

Area of smaller circle = pi*(AD/2)^2 = 36pi

Area of larger circle = pi*(AC)^2 = 100pi

Smaller circle occupies (36pi/100pi)*100 = 36% of larger circle.

Answer: C
Manager
Manager
avatar
S
Joined: 24 Oct 2013
Posts: 141
Location: India
Concentration: General Management, Strategy
WE: Information Technology (Computer Software)
Re: In the diagram above, points A, B, C, D, and E all lie on the same lin  [#permalink]

Show Tags

New post 14 Feb 2017, 05:22
larger circle radius = 8 + 2 = 10

inner circle diameter = 10 + 2 = 12 => radius = 6

larger circle area = 100 pi

smaller circle area = 36 pi

there for 36 %

option C
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50570
Re: In the diagram above, points A, B, C, D, and E all lie on the same lin  [#permalink]

Show Tags

New post 30 Dec 2017, 01:01
hazelnut wrote:
Image
In the diagram above, points A, B, C, D, and E all lie on the same line. Point B is the center of a smaller circle, on which points A and D lie. Point C is the center of a larger circle, on which points A and E lie. If the straight-line distance from point C to point D is two meters and the straight-line distance from point D to point E is 8 meters, what percentage of the larger circle is filled by the smaller circle?

A. 16%
B. 25%
C. 36%
D. 50%
E. 64%

Attachment:
Untitled.jpg


VERITAS PREP OFFICIAL SOLUTION:

The key here is labeling everything that you know. If you know that:

DE = 8

CD = 2

and C is the center of the large circle

Then you can identify that the radius of the large circle is the distance from C to E which is 10, making the area of that circle equal to 100pi.

Then look at the smaller circle. You know that the distance from C to A is the radius of the larger circle, and you've already established that that distance is 10. And if CD is 2, that means that the diameter of the smaller circle is AC + CD (the total distance from A to D) for a total of 12. Since area is based on radius, cut that in half to a radius of 6, meaning that the area is 36pi.

Then, since you want to know what percentage the small circle takes up of the large circle, that's 36 pi out of 100 pi, for a total of 36%.
_________________

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

GMAT Club Bot
Re: In the diagram above, points A, B, C, D, and E all lie on the same lin &nbs [#permalink] 30 Dec 2017, 01:01
Display posts from previous: Sort by

In the diagram above, points A, B, C, D, and E all lie on the same lin

  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®.