GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
In a certain football league of 240 players, 100 players are right-foo
[#permalink]
31 Jan 2022, 06:13
31 Jan 2022, 06:13
Expert Reply
3
Bookmarks
00:00
Question Stats:
33% (01:53) correct
66% (01:27) wrong based on 12 sessions
Hide Show timer Statistics
In a certain football league of 240 players, 100 players are right-footed, and 150 players are male. If at least 25 female players are left-footed, what is the maximum number of right-footed male players?
(A) 35
(B) 50
(C) 85
(D) 100
(E) 115
(A) 35
(B) 50
(C) 85
(D) 100
(E) 115
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: In a certain football league of 240 players, 100 players are right-foo
[#permalink]
31 Jan 2022, 06:26
31 Jan 2022, 06:26
Carcass wrote:
In a certain football league of 240 players, 100 players are right-footed, and 150 players are male. If at least 25 female players are left-footed, what is the maximum number of right-footed male players?
(A) 35
(B) 50
(C) 85
(D) 100
(E) 115
(A) 35
(B) 50
(C) 85
(D) 100
(E) 115
One approach is to use the Double Matrix Method. This technique can be used for questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions).
Here, we have a population of football players, and the two characteristics are:
- male or female
- left-footed or right-footed
So we can set up our matrix as follows:
Notice that I used 25+ to represent the fact that there are AT LEAST 25 left-footed female players.
First recognize that we have a total of 100 right-footed players (male and female)
In order to maximize the number of right-footed male players, we must minimize the number of right-footed female players.
Since 0 is the minimum possible number of right-footed female players, we can let 0 equal the number of right-footed female players, which means there are 90 left-footed female players:
When we complete the matrix, we get:
This means there can be a maximum of 100 right-footed male players
Answer: D
To learn more about the Double Matrix Method, watch this video:
gmatclubot
Re: In a certain football league of 240 players, 100 players are right-foo [#permalink]
31 Jan 2022, 06:26
Moderators:
