BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

If each of the 12 teams participating in a certain tournament plays exactly one game with each of the other teams, how m

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 1223
Joined: Sat Feb 15, 2020 2:23 pm
Followed by:1 members

If each of the 12 teams participating in a certain tournament plays exactly one game with each of the other teams, how m

by BTGModeratorVI » Mon Sep 07, 2020 7:02 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

If each of the 12 teams participating in a certain tournament plays exactly one game with each of the other teams, how many games will be played?

A. 144
B. 132
C. 66
D. 33
E. 23

Answer: C
Source: Official guide
Top
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

Re: If each of the 12 teams participating in a certain tournament plays exactly one game with each of the other teams, h

by Brent@GMATPrepNow » Wed Sep 09, 2020 6:18 am
BTGModeratorVI wrote: ↑
Mon Sep 07, 2020 7:02 am
 If each of the 12 teams participating in a certain tournament plays exactly one game with each of the other teams, how many games will be played?

A. 144
B. 132
C. 66
D. 33
E. 23

Answer: C
Source: Official guide
There are 12 teams.
If we ask each team, "How many teams did you play?" we'll find that each team played 11 teams, which gives us a total of 132games (since 12 x 11 = 132).

From here we must recognize that each game has been COUNTED TWICE.
For example, if Team A and Team B play a game, then Team A counts it as a game, AND Team B counts it as a game.

So, to account for the DUPLICATION, we'll divide 132 by 2 to get 66

Answer: C

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
User avatar
Senior | Next Rank: 100 Posts
Posts: 33
Joined: Mon Nov 24, 2014 1:47 pm
Location: London

Re: If each of the 12 teams participating in a certain tournament plays exactly one game with each of the other teams, h

by ygcrowanhand » Sun May 03, 2026 4:12 am
Here's my video explanation of the question: https://youtube.com/shorts/jQhxdzNX6NY?feature=share
705+ GMAT Arithmetic Shortcuts FREE 8-Video Course:

https://stan.store/yourgmatcoach

GMAT Office Hours: https://rowanhand.podia.com/gmat-office-hours

Learn more about Private GMAT Tutoring at: https://privategmattutor.london
Top
Post new topic Post Reply
• Page 1 of 1