GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 20 Jun 2018, 15:28

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

7 teams compete in a track competition. If there are 20

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

1 KUDOS received
CEO
CEO
User avatar
Joined: 21 Jan 2007
Posts: 2694
Location: New York City
7 teams compete in a track competition. If there are 20 [#permalink]

Show Tags

New post Updated on: 27 Jul 2014, 02:59
1
8
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

70% (01:15) correct 30% (01:18) wrong based on 384 sessions

HideShow timer Statistics

7 teams compete in a track competition. If there are 20 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?

A. 3
B. 4
C. 5
D. 6
E. 7

_________________

You tried your best and you failed miserably. The lesson is 'never try'. -Homer Simpson


Originally posted by bmwhype2 on 19 Feb 2008, 10:45.
Last edited by Bunuel on 27 Jul 2014, 02:59, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
SVP
SVP
User avatar
Joined: 24 Aug 2006
Posts: 2098
Re: 7 teams compete in a track competition. If there are 20 [#permalink]

Show Tags

New post 19 Feb 2008, 11:11
1
bmwhype2 wrote:
7 teams compete in a track competition. If there are 20 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?
3
4
5
6
7


7

3(max wins) x 6 =18 (6 teams win three events)

18+2 = 20 (1 team wins 2 events)
1 KUDOS received
Manager
Manager
User avatar
Joined: 22 Feb 2009
Posts: 194
GMAT ToolKit User
Re: 7 teams compete in a track competition. If there are 20 [#permalink]

Show Tags

New post 06 Aug 2014, 19:39
1
bmwhype2 wrote:
7 teams compete in a track competition. If there are 20 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?

A. 3
B. 4
C. 5
D. 6
E. 7


what will happen if one team lost all the events? There will be 6 team left that won at least one event or no more than 3.
Even if each of 6 team won 3 events, there are only 18 events finished ( < 20)--> The possibility of one team lost all the events is 0.
--> there is always at least one team won at least one event
--> E is the answer
_________________

.........................................................................
+1 Kudos please, if you like my post

Current Student
User avatar
Joined: 06 Mar 2014
Posts: 257
Location: India
GMAT Date: 04-30-2015
Reviews Badge
Re: 7 teams compete in a track competition. If there are 20 [#permalink]

Show Tags

New post 29 Mar 2015, 14:16
bmwhype2 wrote:
7 teams compete in a track competition. If there are 20 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?

A. 3
B. 4
C. 5
D. 6
E. 7



Would be great if any expert could guide as to how to go about this question.
Expert Post
3 KUDOS received
EMPOWERgmat Instructor
User avatar
D
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 11803
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: 7 teams compete in a track competition. If there are 20 [#permalink]

Show Tags

New post 29 Mar 2015, 19:08
3
1
Hi earnit,

As wordy as this prompt is, it's really just a 'limit' question - you have to think about minimum and maximum possibilities given the restrictions in the question.

We're told a few facts about a track competition:
1) 7 teams compete in the competition.
2) There are 20 events in the competition
3) There are NO ties in the competition.
4) No team wins MORE than 3 events

We're asked for the MINIMUM number of teams that would win at least 1 event at this competition.

It's the last fact that is the most 'limiting' piece of information: NO team won more than 3 events....

Let's start by trying to MAXIMIZE the number of events that each team wins.....
If each of the first 6 teams won the MAXIMUM number of events possible, then that would account for 6(3) = 18 of the events. There are 20 total events though - so who won THOSE last 2 events?

It would have to be the only team that's left: the 7th team.

This means that EVERY team won at least one event (and it really means that every team won at least 2 events).

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Expert Post
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2570
Re: 7 teams compete in a track competition. If there are 20 [#permalink]

Show Tags

New post 20 Jun 2017, 19:08
bmwhype2 wrote:
7 teams compete in a track competition. If there are 20 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?

A. 3
B. 4
C. 5
D. 6
E. 7


Let’s say 6 teams won 3 events and 1 team won 2 events. Thus, the minimum possible number of teams that won at least 1 event is 7.

Answer: E
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Expert Post
Top Contributor
CEO
CEO
User avatar
P
Joined: 12 Sep 2015
Posts: 2564
Location: Canada
Re: 7 teams compete in a track competition. If there are 20 [#permalink]

Show Tags

New post 13 Jan 2018, 10:22
Top Contributor
1
bmwhype2 wrote:
7 teams compete in a track competition. If there are 20 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?

A. 3
B. 4
C. 5
D. 6
E. 7


The first thing we should recognize is that, if each of the 7 teams get their maximum of 3 wins each, then the total number of wins is 21.

So, the ONLY WAY to distribute 20 wins among 7 teams is for six teams to get 3 wins and one team to get 2 wins.

For example:
Team 1: 3 wins
Team 2: 3 wins
Team 3: 3 wins
Team 4: 3 wins
Team 5: 3 wins
Team 6: 3 wins
Team 7: 2 wins.

So, the minimum possible number of teams that won at least one event must equal 7

Answer: E

Cheers,
Brent
_________________

Brent Hanneson – Founder of gmatprepnow.com

Image

Re: 7 teams compete in a track competition. If there are 20   [#permalink] 13 Jan 2018, 10:22
Display posts from previous: Sort by

7 teams compete in a track competition. If there are 20

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.