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

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • 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
  • 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

two part analysis question

This topic has 1 expert reply and 0 member replies
datonman Senior | Next Rank: 100 Posts Default Avatar
Joined
28 May 2014
Posted:
53 messages

two part analysis question

Post Sun Nov 08, 2015 5:22 pm
A city is hosting a table tennis tournament for its residents. Each team has exactly two players, and each team is on exactly one team. In each round, each team plays exactly one other team and either wins or loses. The winning team advances to the next round and the losing team is eliminated. No team or player drops out except by losing a game. The tournament is in progress, and exactly 512 players participated in the first round.

From the available options, select a number of tournament rounds and a number of teams such that after the specified number of rounds there will be the specified number of teams remaining in the tournament. Make only two selections, one in each column.
Attachments

This post contains an attachment. You must be logged in to download/view this file. Please login or register as a user.

Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
Post Mon Nov 09, 2015 7:08 am
datonman wrote:
A city is hosting a table tennis tournament for its residents. Each team has exactly two players, and each team is on exactly one team. In each round, each team plays exactly one other team and either wins or loses. The winning team advances to the next round and the losing team is eliminated. No team or player drops out except by losing a game. The tournament is in progress, and exactly 512 players participated in the first round.

From the available options, select a number of tournament rounds and a number of teams such that after the specified number of rounds there will be the specified number of teams remaining in the tournament. Make only two selections, one in each column.
We know that if there are two players per team, and there are 512 players, there are 512/2 = 256 teams. After each round, half the teams are eliminated. So after one round, there will be 128 teams left. After two rounds, there will be 64 teams left. After 3 ---> 32 left. After 4 ---> 16 left. After 5 ---> 8 left. After 6 ---> 4 left. After 7 ----> 2 left. After 8 ---> 1 left, and this team won the tournament.

Of the above options, the only possibility that will work is that after 4 rounds, there will be 16 teams remaining.

_________________
Veritas Prep | GMAT Instructor

Veritas Prep Reviews
Save $100 off any live Veritas Prep GMAT Course

Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now!

Best Conversation Starters

1 LUANDATO 153 topics
2 lheiannie07 87 topics
3 Roland2rule 75 topics
4 AAPL 62 topics
5 ardz24 60 topics
See More Top Beat The GMAT Members...

Most Active Experts

1 image description EconomistGMATTutor

The Economist GMAT Tutor

166 posts
2 image description GMATGuruNY

The Princeton Review Teacher

130 posts
3 image description Jay@ManhattanReview

Manhattan Review

128 posts
4 image description Rich.C@EMPOWERgma...

EMPOWERgmat

121 posts
5 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

99 posts
See More Top Beat The GMAT Experts