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# M09-23

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Intern
Joined: 17 Mar 2011
Posts: 11

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09 Sep 2017, 03:11
I think this is a poor-quality question. I think the wording is unclear. "....and all of his remaining games." is confusing. Did he win 25% of his remaining games or did he win ALL of his remaining games? I know it seems silly once you know what the question is asking, but I had to waste time unnecessarily trying to figure out whether I read the question wrong or if there was a catch somewhere that i missed. A small updated to the wording would help.
Intern
Joined: 16 Sep 2012
Posts: 10
GMAT 1: 660 Q44 V37

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20 Sep 2017, 02:09
Per statement 2 - "The player won 75 percent of the games he played." Doesn't this directly answer the question 'the ratio of the number of games he won to the number of the games he lost' to be 3:1 since if he won 75% he lost 25%? What am I missing?

Will appreciate a response.

Thanks!
Math Expert
Joined: 02 Sep 2009
Posts: 59587

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20 Sep 2017, 02:22
1
asachi wrote:
Per statement 2 - "The player won 75 percent of the games he played." Doesn't this directly answer the question 'the ratio of the number of games he won to the number of the games he lost' to be 3:1 since if he won 75% he lost 25%? What am I missing?

Will appreciate a response.

Thanks!

Yes, it does. The solution just solves the statement similarly to statement (1) to illustrate the way of finding the number of remaining games.
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Joined: 02 Sep 2009
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20 Sep 2017, 02:24
aj16 wrote:
I think this is a poor-quality question. I think the wording is unclear. "....and all of his remaining games." is confusing. Did he win 25% of his remaining games or did he win ALL of his remaining games? I know it seems silly once you know what the question is asking, but I had to waste time unnecessarily trying to figure out whether I read the question wrong or if there was a catch somewhere that i missed. A small updated to the wording would help.

I don;t think it's confusing at all.

The player won 25 percent of the first 20 games he played and all of his remaining games. So, 25% of the first 20 games and 100% of the remaining games.
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Manager
Joined: 26 Feb 2018
Posts: 51
Location: India
GMAT 1: 640 Q45 V34
GPA: 3.9
WE: Web Development (Computer Software)

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07 May 2018, 02:04
I think this is a high-quality question and I agree with explanation.
Manager
Joined: 15 Nov 2016
Posts: 139
GMAT 1: 480 Q34 V22

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29 Jul 2018, 02:17
Total games = T
Remaining games after 20 games = T-20
Won 25% of the first 20 games = 5
Lost = 15
Won 100% of the remaining games = T-20

Q = Win/Lost or Win/15
S1 = T/4 + 45 = T; T=60; Sufficient
S2 = 3T/4 = T-15; T=60; Sufficient
D
Manager
Joined: 10 Dec 2017
Posts: 150
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18 Aug 2018, 14:20
Given conditions:
Player won 25% of the first 20 games
20*1/4= 5 games won or 15 lost in first 20 matches. Player also won remaining of his matches.
so the number of games he lost is 15.
we have to find
number of matches he won/ number of matches he lost
= (5+remaining matches)/15

1) If the player had won 25 percent of the total games he played, he would have lost 30 more games than he actually did.

let the total number of games he played is X
then he won X/4 games(25%) or lost 3X/4(75%) games
Given 3X/4 = 15 +30(as he already lost 15 in First 20 matches)
3X/4=45
X =60 matches
so remaining matches are 40
Required ratio is (5+40)/15=45/15 Sufficient
2) The player won 75 percent of the games he played.
Let the total games he played is X
3X/4 he won and X/4 he lost.
X/4 =15 (As he won remaining of his matches after first 20 matches)
X=60
so remaining matches are 40
Required ratio is (5+40)/15=45/15 Sufficient
Intern
Joined: 28 Nov 2012
Posts: 14

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21 Mar 2019, 07:42
I think this is a poor-quality question and I don't agree with the explanation. question should be
and won all of his remaining games.
Then the explanation justifies the question.
the question misses WON ALL OF HIS REMAINING GAMES
Manager
Joined: 24 Jan 2017
Posts: 66
Location: Brazil
Concentration: Strategy, Entrepreneurship
GPA: 3.5
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29 Nov 2019, 11:40
Bunuel wrote:
Official Solution:

(1) If the player had won 25 percent of the total games he played, he would have lost 30 more games than he actually did. The player won 25% of his first 20 games and 100% of the remaining games, in order to win 25% of total matches he should have won 25% of the remaining games (instead of 100%, so 75% less). So 75% losses in the remaining games result in 30 more losses: $$0.75*R=30$$, where $$R$$ is the number of the remaining games. We have only one unknown $$R$$, hence we can solve for it and thus we'll have all information needed to get the ratio. Sufficient.

(2) The player won 75 percent of the games he played. So, $$0.25*20+1*R=0.75*(20+R)$$. The same here: we have only one unknown $$R$$, hence we can solve for it and thus we'll have all information needed to get the ratio. Sufficient.

Bunuel In statement (1) If the player had won 25 percent of the total games he played, he would have lost 30 more games than he actually did - the word MORE doesn't mean 30 + 15 (loses)? If so, the equation shouldn't be 3/4 * R= (15 +30)? Many tks!
Manager
Joined: 20 Sep 2018
Posts: 91
GMAT 1: 590 Q47 V25

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03 Dec 2019, 01:35
IMHO, THE IDEAL WAY to solve such questions is to modify the question to a very clear cut equation stage , requiring 1/2 variables to resolve the question.
Re: M09-23   [#permalink] 03 Dec 2019, 01:35

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# M09-23

Moderators: chetan2u, Bunuel