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

It is currently 18 Dec 2018, 18:23

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Happy Christmas 20% Sale! Math Revolution All-In-One Products!

     December 20, 2018

     December 20, 2018

     10:00 PM PST

     11:00 PM PST

    This is the most inexpensive and attractive price in the market. Get the course now!
  • Key Strategies to Master GMAT SC

     December 22, 2018

     December 22, 2018

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

In the figure given, line C is a diameter of the circle and parallel

  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: 51280
In the figure given, line C is a diameter of the circle and parallel  [#permalink]

Show Tags

New post 22 Jul 2018, 22:43
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

79% (06:08) correct 21% (01:30) wrong based on 14 sessions

HideShow timer Statistics

Image

In the figure given, line C is a diameter of the circle and parallel to line B. The distance between lines B and C is 2.5. The blue shaded portion, which is the sector formed by the endpoints of the chord on line B, is 1/3 of the area of the circle. What is the area of the green-shaded portion of the circle?

A. 6.5π
B. 7.5π
C. 8.5π
D. 9.5π
E. 10.5π


Attachment:
542.gif
542.gif [ 7.56 KiB | Viewed 420 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

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7113
Re: In the figure given, line C is a diameter of the circle and parallel  [#permalink]

Show Tags

New post 23 Jul 2018, 02:14
Bunuel wrote:
Image

In the figure given, line C is a diameter of the circle and parallel to line B. The distance between lines B and C is 2.5. The blue shaded portion, which is the sector formed by the endpoints of the chord on line B, is 1/3 of the area of the circle. What is the area of the green-shaded portion of the circle?

A. 6.5π
B. 7.5π
C. 8.5π
D. 9.5π
E. 10.5π


Attachment:
The attachment 542.gif is no longer available


1/3 area at centre means 360/3=120° at O
So blue portion makes a 120° angle at centre.
Draw a perpendicular OX so OX bisects the 120 angle therefore OXY becomes 30:60:90 triangle with sides OX:XY:OY in ratio 1:√3:2..
Now OX is 2.5, so OY is 2*OX=2*2.5=5 and OY is nothing but the radius
Area =π*5^2=25π

Now take the green portion..
The green portion makes a 108° angle at centre as lines are PARALLEL..
So if 360° has an area of 25π, 108° will have an area of 25π*108/360=25π*3/10=7.5π

B
Attachments

PicsArt_07-23-03.38.00.jpg
PicsArt_07-23-03.38.00.jpg [ 19.94 KiB | Viewed 324 times ]


_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

GMAT Club Bot
Re: In the figure given, line C is a diameter of the circle and parallel &nbs [#permalink] 23 Jul 2018, 02:14
Display posts from previous: Sort by

In the figure given, line C is a diameter of the circle and parallel

  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®.