It is currently 25 Sep 2017, 08:24

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# M10 Q35

Author Message
Current Student
Joined: 07 Sep 2011
Posts: 74

Kudos [?]: 50 [0], given: 13

GMAT 1: 660 Q41 V40
GMAT 2: 720 Q49 V39
WE: Analyst (Mutual Funds and Brokerage)

### Show Tags

13 Sep 2012, 07:33
40-9= need 31 more points at least
20-5= in 15 games

let x= # wins
let (15-x)= # ties
we want to see min amount of wins with max ties

3x+(15-x)>=31
3x+15-x>=31
2x>=16
x>=8

Kudos [?]: 50 [0], given: 13

Intern
Joined: 13 Sep 2012
Posts: 1

Kudos [?]: [0], given: 0

### Show Tags

13 Sep 2012, 10:27
If the answer is 8... then is it necessary rest all the matches will be drawn... not a single match will be defeated and score 0....

Kudos [?]: [0], given: 0

Intern
Joined: 30 Jun 2011
Posts: 8

Kudos [?]: 1 [0], given: 3

### Show Tags

14 Sep 2012, 09:18
In order to have the least % of victory, the defeat must be 0.
Let x = # of victory after 5 games
y = # of draw after 5 games.

We have:
3x+y=40-9=31 (points)
x+y=15 (games)

Then 2x=16=> x=8

Kudos [?]: 1 [0], given: 3

Intern
Joined: 16 Sep 2012
Posts: 3

Kudos [?]: [0], given: 0

### Show Tags

16 Sep 2012, 14:54
I think you have to consider the defeated matches for the second equation, even though it does not affect the final result.

magnetictempest wrote:
I set this up in two equations:

1) 3W + D = 31
To minimize the number of wins, then we need to maximize the number of points via draw. Total points add up to the remaining 31 points to make it to 40 incremental to the 9 obtained after 5 games.

2) W + D = 15
Total number of wins + draws should add up to the 15 games to make 20 games on top of the 5 games already played

W = 8
D = 7

Minimum wins is 8 => c)

Kudos [?]: [0], given: 0

Intern
Joined: 16 Sep 2012
Posts: 3

Kudos [?]: [0], given: 0

### Show Tags

16 Sep 2012, 14:59
hit and trial is very efficient for this type of problem, save lots of time..

debaranjansahoo wrote:
I know answer is 8. By guessing i started with 7 and ended up with 8. Does any one know any direct method to get the answer for these types of questions rather than hit and trial method.

Kudos [?]: [0], given: 0

Intern
Joined: 28 Jul 2013
Posts: 1

Kudos [?]: [0], given: 0

### Show Tags

12 Sep 2013, 13:01
If the team wins 6 times, to get the maximum points, they should get 20-5-6 draws = 9 draws and it gets 9 + 6*3 + (20-5-6)*1 = 36 points <40 pts -> A is wrong
If it wins 7 times, if the gets 10 draws and loses 3 times the team will reach the 40 points at the end --> Answer is B = 7

Kudos [?]: [0], given: 0

Manager
Joined: 23 Jan 2013
Posts: 172

Kudos [?]: 54 [0], given: 41

Concentration: Technology, Other
Schools: Haas
GMAT Date: 01-14-2015
WE: Information Technology (Computer Software)

### Show Tags

15 Sep 2013, 18:58
The Team has currently scored 9 points in 5 matches , so in the remaining 15 matches it is needs to score 31 points with the condition ( Least number of matches to win ) .
For example
If it has 14 Draws + 1 Win = 14 + 3 = 17 score (REJECTED)
If it has 13 Draws + 2 Wins = 13 + 3*2 = 19 score (REJECTED)

We can formulate D + 3 * W = 31 ( where D = draws , W = wins )
This equation is only satisfied when D = 7 , W = 8

7 ( Draws )* 1 + 3 * 8 ( wins ) = 31 .

Hence least number of wins to obtain a score of 40 in 20 matches is : 8

Hope this helps !!

Kudos [?]: 54 [0], given: 41

Intern
Joined: 14 Jan 2014
Posts: 14

Kudos [?]: 60 [0], given: 60

The scoring system in a certain football competition goes as [#permalink]

### Show Tags

24 Jul 2014, 04:10
The scoring system in a certain football competition goes as follows: 3 points for victory, 1 point for a draw, and 0 points for defeat. Each team plays 20 matches. If a team scored 9 points after 5 games, what is the least number of the remaining matches it has to win to reach the 40-point mark by the end of the tournament?

A) 6
B) 7
C) 8
D) 9
E) 10

[Reveal] Spoiler: My Doubt

Last edited by Gnpth on 24 Jul 2014, 04:22, edited 3 times in total.
formatted the topic

Kudos [?]: 60 [0], given: 60

Moderator
Status: It always seems impossible until it's done!!
Joined: 29 Aug 2012
Posts: 908

Kudos [?]: 1365 [0], given: 263

Location: India
GMAT 1: 680 Q47 V34
The scoring system in a certain football competition goes as [#permalink]

### Show Tags

24 Jul 2014, 04:21
The team has 9 Points now.

And they need 31 points from remaining 15 matches.

The questions ask for minimum wins, by plugging in(Normally start plugging in with option C)

So, 8 Wins will give us 8*3= 24.

and 7 draws will give us 7*1= 7. Total 31 Points.

_________________

Kudos [?]: 1365 [0], given: 263

Math Expert
Joined: 02 Sep 2009
Posts: 41716

Kudos [?]: 124920 [0], given: 12079

### Show Tags

24 Jul 2014, 04:30
Vijayeta wrote:
The scoring system in a certain football competition goes as follows: 3 points for victory, 1 point for a draw, and 0 points for defeat. Each team plays 20 matches. If a team scored 9 points after 5 games, what is the least number of the remaining matches it has to win to reach the 40-point mark by the end of the tournament?

A) 6
B) 7
C) 8
D) 9
E) 10

[Reveal] Spoiler: My Doubt

Merging similar topics. Please refer to the discussion o pages 1 and 2.

Also, please search before posting. Thank you.
_________________

Kudos [?]: 124920 [0], given: 12079

Re: M10 Q35   [#permalink] 24 Jul 2014, 04:30

Go to page   Previous    1   2   [ 30 posts ]

Display posts from previous: Sort by

# M10 Q35

Moderator: Bunuel

 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®.