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

It is currently 13 Dec 2018, 07:42

R1 Admission Decisions:

Stanford Chat (Calls Started)  |  Wharton Chat  (Calls Expected Soon)  |  Fuqua Chat (Calls Expected Soon)


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
  • The winning strategy for 700+ on the GMAT

     December 13, 2018

     December 13, 2018

     08:00 AM PST

     09:00 AM PST

    What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
  • GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

     December 14, 2018

     December 14, 2018

     09:00 AM PST

     10:00 AM PST

    10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.

In the circle above, centered on point O, angle AOB measures 40 degree

  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: 51185
In the circle above, centered on point O, angle AOB measures 40 degree  [#permalink]

Show Tags

New post 04 Apr 2018, 22:21
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

90% (01:30) correct 10% (01:48) wrong based on 34 sessions

HideShow timer Statistics

Image
In the circle above, centered on point O, angle AOB measures 40 degrees. If line segment BD measures 18 inches, what is the measure, in inches, of minor arc BC?


A. 3π

B. 4π

C. 5π

D. 6π

E. 7π

Attachment:
ArcBC.png
ArcBC.png [ 7.73 KiB | Viewed 681 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

Intern
Intern
User avatar
B
Joined: 03 Aug 2016
Posts: 40
In the circle above, centered on point O, angle AOB measures 40 degree  [#permalink]

Show Tags

New post 04 Apr 2018, 22:47
Bunuel wrote:
Image
In the circle above, centered on point O, angle AOB measures 40 degrees. If line segment BD measures 18 inches, what is the measure, in inches, of minor arc BC?


A. 3π

B. 4π

C. 5π

D. 6π

E. 7π

Attachment:
ArcBC.png


Given: AOB = 40 degrees; BD = 18 inches

BD is the diameter --> radius = 18/2 = 9 inches.

AOB = 40 degrees, then, BOC (which is holding the minor arc BC in question) = 140 degrees.

Length of the minor arc = (n/360) (2*π*r) --> (140/360) (2*π*9) = 7π

IMO, answer is E.
_________________

Please press +1 Kudos if you find my post/reply helpful :-)

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2204
Premium Member CAT Tests
In the circle above, centered on point O, angle AOB measures 40 degree  [#permalink]

Show Tags

New post 05 Apr 2018, 05:48
Bunuel wrote:
In the circle above, centered on point O, angle AOB measures 40 degrees. If line segment BD measures 18 inches, what is the measure, in inches, of minor arc BC?


A. 3π

B. 4π

C. 5π

D. 6π

E. 7π

Attachment:
ArcBCed.png
ArcBCed.png [ 11.24 KiB | Viewed 486 times ]

• Find arc BC's length as a fraction of circumference.

Arc BC's central angle measure
as a part of the circle's 360 degrees =
Arc BC's fraction of circumference

• Arc BC's central angle = ?
Arc BC's central angle lies on a straight line with
arc AB's central angle = 40°
So Arc BC's central angle = (180 - 40) = 140°

• Arc BC is what fraction of the circle's circumference?

\(\frac{Part}{Whole}=\frac{140°}{360°}=\frac{14}{36}=\frac{7}{18}\)

• Circumference of circle in inches?
BD = diameter = 18 inches
Circumference = \(\pi d = 18\pi\) in

• Measure, in inches, of arc BC?
Arc BC \(=\frac{7}{18}\) of circumference

\(\frac{7}{18}* 18\pi= 7\pi\)

Answer E
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: In the circle above, centered on point O, angle AOB measures 40 degree  [#permalink]

Show Tags

New post 10 Apr 2018, 10:02
Bunuel wrote:
Image
In the circle above, centered on point O, angle AOB measures 40 degrees. If line segment BD measures 18 inches, what is the measure, in inches, of minor arc BC?


A. 3π

B. 4π

C. 5π

D. 6π

E. 7π

Attachment:
ArcBC.png


Since angle AOB is 40 degrees, angle BOC is 140 degrees.

Thus, arc BC is 140/360 = 14/36 = 7/18 of the entire circumference of the circle.

Since the diameter is 18, the circumference is 18π.

Thus, arc BC is 18π x 7/18 = 7π.

Answer: E
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: In the circle above, centered on point O, angle AOB measures 40 degree &nbs [#permalink] 10 Apr 2018, 10:02
Display posts from previous: Sort by

In the circle above, centered on point O, angle AOB measures 40 degree

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


cron
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®.