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The school soccer team consists entirely of freshmen and s

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The school soccer team consists entirely of freshmen and s [#permalink] New post 12 Mar 2013, 00:16
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The school soccer team consists entirely of freshmen and sophomores. If there are more sophomores than freshmen on the team, which of the following must be true?

A. If there were two more freshmen on the team, there would be more freshmen than sophomores on the team.
B. If there were two fewer sophomores on the team, there would be more sophomores than freshmen on the team.
C. If all the freshmen were to quit the team, the team would have fewer than half the players it currently has.
D. If all the sophomores were to quit the team, the team would have fewer than half the players it current has.
E. If all the freshmen and the sophomores were to quit the team, the team would still have players.
[Reveal] Spoiler: OA

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Last edited by Bunuel on 12 Mar 2013, 01:30, edited 1 time in total.
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Re: The school soccer team consists entirely of freshmen and s [#permalink] New post 12 Mar 2013, 01:32
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emmak wrote:
The school soccer team consists entirely of freshmen and sophomores. If there are more sophomores than freshmen on the team, which of the following must be true?

A. If there were two more freshmen on the team, there would be more freshmen than sophomores on the team.
B. If there were two fewer sophomores on the team, there would be more sophomores than freshmen on the team.
C. If all the freshmen were to quit the team, the team would have fewer than half the players it currently has.
D. If all the sophomores were to quit the team, the team would have fewer than half the players it current has.
E. If all the freshmen and the sophomores were to quit the team, the team would still have players.


Since there are more sophomores than freshmen on the team, then the sophomores compose more than 50% of the team, thus of all of them quit, the team would have fewer than half the players it current has.

Answer: D.
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Re: The school soccer team consists entirely of freshmen and s [#permalink] New post 14 Mar 2013, 01:10
The school soccer team consists entirely of freshmen and sophomores. If there are more sophomores than freshmen on the team, which of the following must be true?

A. If there were two more freshmen on the team, there would be more freshmen than sophomores on the team.
B. If there were two fewer sophomores on the team, there would be more sophomores than freshmen on the team.
C. If all the freshmen were to quit the team, the team would have fewer than half the players it currently has.
D. If all the sophomores were to quit the team, the team would have fewer than half the players it current has.
E. If all the freshmen and the sophomores were to quit the team, the team would still have players.

Solution:

Let the team consist of 100 members (We can take a smart number in this case). Since there are no other team members the worst case for sophomores can be 51 (>49 freshmen).

A. Can or cannot be true
B. Can or cannot be true
C. if freshmen quit they are already less than half so not possible
D. If sophomores quit they are more than half so remaining team would be less than 50%
E. Already stated that team consists entirely of team consists entirely of freshmen and sophomores
Re: The school soccer team consists entirely of freshmen and s   [#permalink] 14 Mar 2013, 01:10
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