Last visit was: 08 Jul 2025, 10:44 It is currently 08 Jul 2025, 10:44
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
605-655 Level|   Combinations|   Probability|         
User avatar
boomtangboy
User avatar
Joined: 06 Jan 2012
Last visit: 05 Jun 2021
Posts: 163
Own Kudos:
2,581
 [105]
Given Kudos: 33
Status:May The Force Be With Me (D-DAY 15 May 2012)
Location: India
Concentration: General Management, Entrepreneurship
Schools: ISB '14 (D) INSEAD Jan '13 (D) Tuck '15 (D) Ross '15 (D) Duke '15 (D) NUS '15 (D) NTU '15 (WL) Ivey '15 (D) Johnson '16 (S)
Products:
My Reviews
Schools: ISB '14 (D) INSEAD Jan '13 (D) Tuck '15 (D) Ross '15 (D) Duke '15 (D) NUS '15 (D) NTU '15 (WL) Ivey '15 (D) Johnson '16 (S)
Posts: 163
Kudos: 2,581
 [105]
In the diagram above, points A, B, C, D, and E represent the 28 Apr 2012, 21:31
7
Kudos
Add Kudos
98
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

45% (medium)

Question Stats:

74% (02:38) correct 26% (02:29) wrong based on 1662 sessions

History

Date
Time
Result
Not Attempted Yet


In the diagram above, points A, B, C, D, and E represent the five teams in a certain league in which each team must play each of the other teams exactly once. The segments connecting pairs of points indicate that the two corresponding teams have already played their game. The arrows on the segments point to the teams that lost; the lack of an arrow on a segment indicates that the game ended in a tie. After all games have been played, which of the following could NOT be the percent of games played that ended in a tie?

A. 10%
B. 20%
C. 30%
D. 40%
E. 50%

Show Spoiler
Attachment:
TEam.jpg
TEam.jpg [ 5.59 KiB | Viewed 25777 times ]
ShowHide Answer
Official Answer
A
Most Helpful Reply
avatar
raingary
avatar
Joined: 22 Jan 2012
Last visit: 07 Oct 2012
Posts: 25
Own Kudos:
79
 [16]
Posts: 25
Kudos: 79
 [16]
In the diagram above, points A, B, C, D, and E represent the 28 Apr 2012, 21:43
9
Kudos
Add Kudos
7
Bookmarks
Bookmark this Post
Out of the 7 matches displayed in the diagram 2 are ties (AC,ED).

Total matches to be played = 5C2 = 10

Remaining matches to be played= 10-7 =3

the maximum ties that can happen = 2+3 =5
minimum ties that can happen =2

So , percentage of minimum ties = (2/10) *100 =20%

Hence ,A is the answer as 10% is not possible.
General Discussion
User avatar
b2bt
User avatar
Joined: 25 Sep 2012
Last visit: 14 Apr 2024
Posts: 200
Own Kudos:
615
 [1]
Given Kudos: 242
Location: India
Concentration: Strategy, Marketing
Schools: Weatherhead '18 (A$) Northeastern '18 (WL)
GMAT 1: 660 Q49 V31
GMAT 2: 680 Q48 V34
Products:
My Reviews
Schools: Weatherhead '18 (A$) Northeastern '18 (WL)
GMAT 2: 680 Q48 V34
Posts: 200
Kudos: 615
 [1]
In the diagram above, points A, B, C, D, and E represent the 18 Sep 2013, 07:04
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Doesn't look like a 700+ question
avatar
ramannanda9
avatar
Joined: 15 May 2013
Last visit: 22 Apr 2015
Posts: 108
Own Kudos:
256
 [1]
Given Kudos: 34
Status:Persevering
Location: India
Concentration: Technology, Leadership
GMAT Date: 08-02-2013
GPA: 3.7
WE:Consulting (Consulting)
Posts: 108
Kudos: 256
 [1]
In the diagram above, points A, B, C, D, and E represent the 22 Sep 2013, 06:57
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
b2bt
Doesn't look like a 700+ question

Yes, but the key is too just take out the minimum percentage that is possible, which in this case is 20% and be done with it.
User avatar
Poorvasha
User avatar
Joined: 11 Jun 2017
Last visit: 06 Mar 2019
Posts: 55
Own Kudos:
114
 [1]
Given Kudos: 8
Posts: 55
Kudos: 114
 [1]
In the diagram above, points A, B, C, D, and E represent the 15 Sep 2017, 12:30
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Total number of matches = 5C2= 10
From the figure, we can see that the minimum number of ties are 2.
So, option A (1/10*100= 10%) is ruled out for sure.

Hence, answer is A.
User avatar
shashankism
User avatar
Joined: 13 Mar 2017
Last visit: 23 Dec 2024
Posts: 611
Own Kudos:
670
 [4]
Given Kudos: 88
Affiliations: IIT Dhanbad
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE:Engineering (Energy)
Posts: 611
Kudos: 670
 [4]
In the diagram above, points A, B, C, D, and E represent the 30 Apr 2018, 01:59
2
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
boomtangboy


In the diagram above, points A, B, C, D, and E represent the five teams in a certain league in which each team must play each of the other teams exactly once. The segments connecting pairs of points indicate that the two corresponding teams have already played their game. The arrows on the segments point to the teams that lost; the lack of an arrow on a segment indicates that the game ended in a tie. After all games have been played, which of the following could NOT be the percent of games played that ended in a tie?

A. 10%
B. 20%
C. 30%
D. 40%
E. 50%

Total games possible between teams = 5C2 = 10
Total games played = 7
Total games already ended up in tie = 2
Total games left to be played = 3

So, Maximum games that can end in tie = 5
Minimum games that can end in tie = 2

So,Maxm percentage of game that can end in a tie = 50%
Minm percentage of game that can end in a tie = 20%

Hence option A is the answer.
User avatar
Basshead
User avatar
Joined: 09 Jan 2020
Last visit: 07 Feb 2024
Posts: 927
Own Kudos:
286
 [1]
Given Kudos: 432
Location: United States
Posts: 927
Kudos: 286
 [1]
In the diagram above, points A, B, C, D, and E represent the 12 Oct 2020, 06:36
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
The diagram can appear a little intimidating at first but it's simply telling us that 7 games have been played (2 of which ended in a draw)

5C2: 10 games

7 games have ALREADY been played. This means we have 3 games left to be played.

The 3 games may or may not end in a draw. We already know 2 games ended in a draw. So at a minimum after 10 games, 2 will end in a draw. At a maximum after 10 games, 5 will end in a draw.

Answer: 10% (1 out of 10 games in a draw) is not possible as we already know for a fact that 2 games ended in a draw.
User avatar
ChandlerBong
User avatar
Joined: 16 Jan 2022
Last visit: 19 Jan 2025
Posts: 239
Own Kudos:
1,049
Given Kudos: 1,013
Location: India
GRE 1: Q165 V165
GPA: 4
WE:Analyst (Computer Software)
GRE 1: Q165 V165
Posts: 239
Kudos: 1,049
In the diagram above, points A, B, C, D, and E represent the 23 Sep 2023, 06:21
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi KarishmaB,

Can you please share your approach to this question?

Thanks in advance. :)
User avatar
KarishmaB
User avatar
Joined: 16 Oct 2010
Last visit: 08 Jul 2025
Posts: 16,101
Own Kudos:
74,207
 [2]
Given Kudos: 475
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 16,101
Kudos: 74,207
 [2]
In the diagram above, points A, B, C, D, and E represent the 24 Sep 2023, 22:46
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
boomtangboy


In the diagram above, points A, B, C, D, and E represent the five teams in a certain league in which each team must play each of the other teams exactly once. The segments connecting pairs of points indicate that the two corresponding teams have already played their game. The arrows on the segments point to the teams that lost; the lack of an arrow on a segment indicates that the game ended in a tie. After all games have been played, which of the following could NOT be the percent of games played that ended in a tie?

A. 10%
B. 20%
C. 30%
D. 40%
E. 50%

Show Spoiler
Attachment:
TEam.jpg

5 teams - each has to play all the others once

Hence total number of games played will be 5C2 = 10

We have data on 7 games - 2 of those were a tie. We don't know about the other 3 games.
Then, of the 10 games, minimum 2 and maximum 5 could have been a tie.

Hence, the percentage of tie games would be from 20% to 50%.

Answer (A)
User avatar
corrayatom
User avatar
Joined: 07 Feb 2023
Last visit: 04 Jul 2025
Posts: 3
Own Kudos:
80
Given Kudos: 41
Location: Bangladesh
Posts: 3
Kudos: 80
In the diagram above, points A, B, C, D, and E represent the 30 May 2025, 23:10
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Total games 4+3+2+1 = 10
2 already tied. So, 2/10 =0.2 = 20%
It can increase in future, but not decrease. So ans is A.
Moderators:
Bunuel
Math Expert
102593 posts
Krunaal
PS Forum Moderator
678 posts