It is currently 23 Nov 2017, 06:32

### 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
Intern
Joined: 11 Jun 2007
Posts: 22

Kudos [?]: 14 [6], given: 0

### Show Tags

21 Dec 2008, 11:13
6
KUDOS
3
This post was
BOOKMARKED
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 the team scored 9 points after 5 games, what is the least number of the remaining matches it has to win to reach a 40-point mark by the end of the tournament?

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

[Reveal] Spoiler: OA
C

Source: GMAT Club Tests - hardest GMAT questions

Kudos [?]: 14 [6], given: 0

Intern
Joined: 07 Jul 2010
Posts: 12

Kudos [?]: 8 [4], given: 3

### Show Tags

09 Sep 2010, 01:45
4
KUDOS
To get the least number of required wins, we need the most optimistic scenario for the remaining matches which means draws for each of these matches.

Let's x be the number of wins and y the number of draws:
x+y=15 (1)

The number of points to reach is 40 while current score is 9, hence we need 31 points. We can write the following equation

3x+1y=31
or using (1) 3x+(15-x)=31-->2x=16-->x=8

Kudos [?]: 8 [4], given: 3

CEO
Status: Nothing comes easy: neither do I want.
Joined: 12 Oct 2009
Posts: 2756

Kudos [?]: 1912 [3], given: 235

Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35

### Show Tags

24 Jul 2010, 17:22
3
KUDOS
gk2k2 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 the team scored 9 points after 5 games, what is the least number of the remaining matches it has to win to reach a 40-point mark by the end of the tournament?

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

Remaining matches = 15
Remaining points = 40=9 = 31

let x be the number of matches won

3*x + (15-x)*1 >= 31
2x >= 16 => x=8
_________________

Fight for your dreams :For all those who fear from Verbal- lets give it a fight

Money Saved is the Money Earned

Jo Bole So Nihaal , Sat Shri Akaal

GMAT Club Premium Membership - big benefits and savings

Gmat test review :
http://gmatclub.com/forum/670-to-710-a-long-journey-without-destination-still-happy-141642.html

Kudos [?]: 1912 [3], given: 235

Intern
Joined: 19 Dec 2008
Posts: 12

Kudos [?]: 13 [2], given: 0

### Show Tags

21 Dec 2008, 14:28
2
KUDOS
No the answer is C:) 8...

Remaining matches: 15
40-9= 31 points in the remaining matches
8 wins X3= 24
7 draws x1=7

Kudos [?]: 13 [2], given: 0

Manager
Joined: 04 Aug 2010
Posts: 151

Kudos [?]: 33 [2], given: 15

### Show Tags

08 Sep 2010, 06:26
2
KUDOS
3 for Victory; 1 for Draw; 0 for Loss
20 matches total

After 5 games of total of 9 points, the team has 15 games left to gain 31 points to reach 40.

To find the least number of wins, we need to assume that the team doesn't lose and can get points from drawing the games too.

With no loss: L = 0
Eq 1, With 15 games left: V + D = 15
Eq 2, With 31 points to go: 3*V + 1*D = 31

Solve for D with equation 1: D = 15 - V
Solve for V with equation 2: V = 8

Number of victories needed = 8
Ans C

Kudos [?]: 33 [2], given: 15

Intern
Joined: 11 Jun 2007
Posts: 22

Kudos [?]: 14 [1], given: 0

### Show Tags

21 Dec 2008, 14:47
1
KUDOS
It was n't quite apparent then but it makes sense now. And I guess for the same reason 11 was not one of the choices!!

Kudos [?]: 14 [1], given: 0

Intern
Joined: 24 Jun 2010
Posts: 41

Kudos [?]: 6 [1], given: 3

Location: Toronto
Schools: Berkeley Haas, UCLA Anderson, NYU Stern

### Show Tags

29 Jul 2010, 07:22
1
KUDOS
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 [?]: 6 [1], given: 3

Intern
Joined: 25 Aug 2010
Posts: 40

Kudos [?]: 12 [1], given: 3

### Show Tags

08 Sep 2010, 06:15
1
KUDOS
tricky question...

i picked D~10. because i think 3win*10+1draw=31, but i forgot there is 15 games altogether to be played, and the question asks about AT LEAST...

Kudos [?]: 12 [1], given: 3

Manager
Joined: 09 Sep 2009
Posts: 57

Kudos [?]: 11 [1], given: 13

### Show Tags

08 Sep 2010, 07:34
1
KUDOS
This question can be solved in a much easier fashion, if we use the answer options..
Ans: C

Kudos [?]: 11 [1], given: 13

Intern
Joined: 19 Jul 2010
Posts: 5

Kudos [?]: 2 [1], given: 1

### Show Tags

08 Sep 2010, 07:46
1
KUDOS
very tricky question.

Kudos [?]: 2 [1], given: 1

Manager
Joined: 04 Dec 2009
Posts: 69

Kudos [?]: 9 [1], given: 4

Location: INDIA

### Show Tags

08 Sep 2010, 20:36
1
KUDOS
Ans C 8*3=24 , 7*1=7 and 0
so 31 points can be earn
_________________

MBA (Mind , Body and Attitude )

Kudos [?]: 9 [1], given: 4

Intern
Joined: 29 Jul 2010
Posts: 44

Kudos [?]: 4 [1], given: 1

### Show Tags

08 Sep 2010, 20:53
1
KUDOS
I believe that there is something wrong in the question formation. I donno, I may be wrong.. Are there anybody with me?

Kudos [?]: 4 [1], given: 1

Intern
Joined: 23 Jul 2010
Posts: 17

Kudos [?]: 11 [0], given: 12

Location: New York
Schools: Booth, Columbia, Ross, Kellogg

### Show Tags

08 Sep 2010, 07:45
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 [?]: 11 [0], given: 12

Manager
Joined: 09 Sep 2009
Posts: 57

Kudos [?]: 11 [0], given: 13

### Show Tags

09 Sep 2010, 06:23
Francois wrote:
To get the least number of required wins, we need the most optimistic scenario for the remaining matches which means draws for each of these matches.

Let's x be the number of wins and y the number of draws:
x+y=15 (1)

The number of points to reach is 40 while current score is 9, hence we need 31 points. We can write the following equation

3x+1y=31
or using (1) 3x+(15-x)=31-->2x=16-->x=8

Atta Boy!..that is some way to do it..
Kudos + 1 :D

Kudos [?]: 11 [0], given: 13

Intern
Joined: 02 Sep 2010
Posts: 7

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

### Show Tags

09 Sep 2010, 10:41
3 points for win (w); 1 point for draw (d)
20 total - 5 played = 15 games left = # wins + # draws --> w + d = 15
points to make = 40 total - 9 so far = 31 points --> 3w + 1d = 31
subtract:
-(w+d)-15

-w - d = -15
3w + d = 31
___________ +
2w = 16
w = 8

Check: 8 + d = 15 ; d=7; 3(8) +1(7) = 24 + 7 = 31

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

Intern
Joined: 02 Apr 2010
Posts: 46

Kudos [?]: 6 [0], given: 0

Location: Mumbai

### Show Tags

14 Sep 2010, 08:55
Make a note of what we have to find out. We need to find how many winning matches are needed to get 40 points?

Since 9 points are achieved in 5 matches we are left with 31 points that should be filled with less winning matches. If you try with 8; you will have 8*3(win)+7*1(draw)=31.

_________________

Consider kudos for good explanations.

Kudos [?]: 6 [0], given: 0

Manager
Joined: 27 Jul 2010
Posts: 86

Kudos [?]: 22 [0], given: 6

### Show Tags

13 Sep 2011, 08:25
picking numbers solved in under 1min30sec
40 - 9 = 31 points need
Points from Draws + Points from Winning
15 * 1 + 3*0 (0) = 15
14 *1 + 3*1 (3) = 17
and so on
13 6
12 9
11 12
10 15
9 18
8 21
until
7 *1 + 3*8 (24) = 31

Kudos [?]: 22 [0], given: 6

Senior Manager
Joined: 01 Nov 2010
Posts: 282

Kudos [?]: 87 [0], given: 44

Location: India
Concentration: Technology, Marketing
GMAT Date: 08-27-2012
GPA: 3.8
WE: Marketing (Manufacturing)

### Show Tags

13 Sep 2011, 23:15
nice explanation by gurpreetsingh.
_________________

kudos me if you like my post.

Attitude determine everything.
all the best and God bless you.

Kudos [?]: 87 [0], given: 44

Intern
Status: Looking for High GMAT Score
Joined: 19 May 2012
Posts: 36

Kudos [?]: 6 [0], given: 58

Location: India
Concentration: Strategy, Marketing
WE: Marketing (Internet and New Media)

### Show Tags

13 Sep 2012, 05:33
Very tricky question got 11 as the poster ..

Knew i had missed something and 10 could not be the answer but did not the logic
_________________

“The best time to plant a tree was 20 years ago. The second best time is now.” – Chinese Proverb

Kudos [?]: 6 [0], given: 58

Director
Status: Final Countdown
Joined: 17 Mar 2010
Posts: 534

Kudos [?]: 361 [0], given: 75

Location: India
GPA: 3.82
WE: Account Management (Retail Banking)

### Show Tags

13 Sep 2012, 06:03
Apply-"hit and trial" , start with the middle number(when you see the ACs in order such as 6,7,8,9,10 ,because it will tell you whether you have to go up or down . in this question one might get lucky because C=8 is the right answer.GMAT loves to ask such questions, because in the middle of the test GMAT wants you to boggle with simple yet silly manual calculation.
_________________

" Make more efforts "
Press Kudos if you liked my post

Kudos [?]: 361 [0], given: 75

Re: M10 Q35   [#permalink] 13 Sep 2012, 06:03

Go to page    1   2    Next  [ 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®.