• PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • 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
  • 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
  • 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
  • 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
  • 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

OG 13 Problem

This topic has 1 member reply
oquiella Master | Next Rank: 500 Posts Default Avatar
Joined
12 May 2015
Posted:
164 messages
Thanked:
3 times

OG 13 Problem

Post Tue Dec 22, 2015 3:08 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If K is an integer and 2<k<7, for how many different values of k is there a triangle with sides of lengths 2,7, and k?

    A. One
    B. Two
    C. Three
    D. Four
    E. Five

    Answer: A


    Why please explain your reasoning

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Marty Murray Legendary Member
    Joined
    03 Feb 2014
    Posted:
    2037 messages
    Followed by:
    129 members
    Thanked:
    948 times
    GMAT Score:
    800
    Post Tue Dec 22, 2015 10:47 pm
    Quote:
    If K is an integer and 2 < k < 7, for how many different values of k is there a triangle with sides of lengths 2,7, and k?

    A. One
    B. Two
    C. Three
    D. Four
    E. Five
    For three line segments to work as a triangle, the lengths of any two of the segments have to add up to a sum greater than the length of the third. Otherwise two sides will not be long enough to connect with each other and with the ends of the third side.

    The integers k such that 2 < k < 7 are 3, 4, 5 and 6.

    See how many of those could form a triangle with sides 2, 7, and k.

    If the lengths of the three segments were 2, 7 and 3, the segments 2 and 3 long would not be long enough to connect with each other and with the ends of the segment 7 long to form a triangle.

    2 + 4 < 7 Doesn't work.

    2 + 5 = 7 The only way to connect all the ends is to put them together flat. That's not a triangle.

    2 + 6 > 7 -- 7 + 2 > 6 -- 7 + 6 > 2 That works.

    So only K = 6 works and the correct answer is A.

    _________________
    Marty Murray
    GMAT Coach
    m.w.murray@hotmail.com
    http://infinitemindprep.com/
    In Person in the New York Area and Online Worldwide

    Thanked by: oquiella, Anaira Mitch

    Best Conversation Starters

    1 Vincen 180 topics
    2 lheiannie07 65 topics
    3 Roland2rule 49 topics
    4 ardz24 40 topics
    5 LUANDATO 16 topics
    See More Top Beat The GMAT Members...

    Most Active Experts

    1 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

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

    EMPOWERgmat

    103 posts
    3 image description GMATGuruNY

    The Princeton Review Teacher

    100 posts
    4 image description EconomistGMATTutor

    The Economist GMAT Tutor

    92 posts
    5 image description Jay@ManhattanReview

    Manhattan Review

    79 posts
    See More Top Beat The GMAT Experts