• Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT

number of points a circle can intersect a triangle

This topic has 3 expert replies and 3 member replies
AMat700 Newbie | Next Rank: 10 Posts Default Avatar
Joined
31 Jul 2010
Posted:
6 messages
Followed by:
1 members
Thanked:
1 times

number of points a circle can intersect a triangle

Post Tue Feb 22, 2011 8:03 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Which of the following lists the number of points at which a circle can intersect a triangle?

    A)2 and 6 only
    B)2, 4, and 6 only
    C)1, 2, 3 and 6 only
    D)1, 2, 3, 4 and 6 only
    E)1, 2, 3, 4, 5, and 6

    Answer: E

    How do you solve? I don't even understand this question.

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!

    GMAT/MBA Expert

    Anurag@Gurome GMAT Instructor
    Joined
    02 Apr 2010
    Posted:
    3835 messages
    Followed by:
    518 members
    Thanked:
    1852 times
    GMAT Score:
    770
    Post Tue Feb 22, 2011 8:12 pm
    See the following figures:



    Hence, correct answer is E.

    _________________
    Anurag Mairal, Ph.D., MBA
    GMAT Expert, Admissions and Career Guidance
    Gurome, Inc.
    1-800-566-4043 (USA)

    Join Our Facebook Groups
    GMAT with Gurome
    https://www.facebook.com/groups/272466352793633/
    Admissions with Gurome
    https://www.facebook.com/groups/461459690536574/
    Career Advising with Gurome
    https://www.facebook.com/groups/360435787349781/



    Last edited by Anurag@Gurome on Wed Aug 03, 2011 7:54 pm; edited 1 time in total

    Post Wed Feb 23, 2011 6:52 am
    AMat700 wrote:
    Which of the following lists the number of points at which a circle can intersect a triangle?

    A)2 and 6 only
    B)2, 4, and 6 only
    C)1, 2, 3 and 6 only
    D)1, 2, 3, 4 and 6 only
    E)1, 2, 3, 4, 5, and 6

    Answer: E

    How do you solve? I don't even understand this question.
    The quickest approach is to notice how the answer choices differ. Only answer choice E says that 5 intersections are possible:



    Since 5 intersections are possible, eliminate A, B, C and D. No need to try any other options.

    The correct answer is E.

    _________________
    Mitch Hunt
    GMAT Private Tutor
    GMATGuruNY@gmail.com
    If you find one of my posts helpful, please take a moment to click on the "Thank" icon.
    Available for tutoring in NYC and long-distance.
    For more information, please email me at GMATGuruNY@gmail.com.

    Thanked by: melguy, s777, ujjwal.dheer
    Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now.
    Kemmy G Junior | Next Rank: 30 Posts Default Avatar
    Joined
    06 Apr 2011
    Posted:
    19 messages
    Followed by:
    1 members
    Post Mon May 21, 2012 1:53 pm
    @GMATGuruNY,

    I beg to differ. For those who don't even understand the question (like me!) Your explanation doesn't help at all. What if the testmakers purposely threw in the 5 to confuse those who don't know what to do? I'll appreciate if you could give a more detailed explanation. Thank you!

    aircraft Newbie | Next Rank: 10 Posts Default Avatar
    Joined
    15 May 2013
    Posted:
    6 messages
    Post Mon May 20, 2013 2:17 pm
    Define the difference between intersecting and to be tangent in cases 1 three and five...I know the OA, but with all due respect, 1, 3 and 5 strictly speaking is not intersecting.

    Post Mon May 20, 2013 2:26 pm
    aircraft wrote:
    Define the difference between intersecting and to be tangent in cases 1 three and five...I know the OA, but with all due respect, 1, 3 and 5 strictly speaking is not intersecting.
    "Intersect" does not necessarily mean "pass through."
    To intersect is to share a common point.
    So, a line that is tangent to a circle (touching the circle but not passing through it) can be said to intersect the circle.

    The Official Guide doesn't have a formal definition of "intersect," but we can infer its meaning from the test-maker's definition of a closed plane figure (e.g., a rectangle):

    A polygon is a closed plane figure formed by three or more line segments, called the sides of the
    polygon. Each side intersects exactly two other sides at their endpoints.


    So, the adjacent sides of a rectangle do not pass through each other, but they are said to intersect.

    Cheers,
    Brent

    _________________
    Brent Hanneson – Founder of GMATPrepNow.com
    Use our video course along with Beat The GMAT's free 60-Day Study Guide

    Check out the online reviews of our course
    Come see all of our free resources

    GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!
    ygcrowanhand Junior | Next Rank: 30 Posts
    Joined
    24 Nov 2014
    Posted:
    19 messages
    Post Thu Sep 28, 2017 7:05 am
    Hi GMATters,

    Here's my video solution to this question:

    https://youtu.be/pxGsBiEYndo

    Enjoy!

    Rowan

    _________________
    Learn the Top 3 GMAT Arithmetic Techniques with this free PDF guide!

    https://yourgmatcoach.withcoach.com/free-pdf-guide-top-3-700-level-gmat-arithmetic-shortcuts

    Best Conversation Starters

    1 Vincen 180 topics
    2 lheiannie07 65 topics
    3 Roland2rule 49 topics
    4 ardz24 44 topics
    5 LUANDATO 23 topics
    See More Top Beat The GMAT Members...

    Most Active Experts

    1 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

    147 posts
    2 image description Rich.C@EMPOWERgma...

    EMPOWERgmat

    103 posts
    3 image description GMATGuruNY

    The Princeton Review Teacher

    102 posts
    4 image description EconomistGMATTutor

    The Economist GMAT Tutor

    94 posts
    5 image description DavidG@VeritasPrep

    Veritas Prep

    76 posts
    See More Top Beat The GMAT Experts