A Homegrown Logic Game

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Atlas LSAT Teacher
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A Homegrown Logic Game

Postby Atlas LSAT Teacher » Tue May 04, 2010 10:53 am

Not a terribly tough one - but a good game for working on speed for easier games:

The coach of a track-and-field team will select a team of at least five and at most six athletes from a group of nine athletes. The athletes consist of one male sprinter, two female sprinters, three male distance runners and three female distance runners. The coach will select athletes according to the following requirements:

* No more than four females are selected.
* At least as many female distance runners as male distance runners are selected.
* At least three but not more than four distance runners are selected.
* If both female sprinters are selected, then the male sprinter is not selected.


1. Which one of the following could be a complete team selected by the coach?

(A) one male sprinter, two female sprinters, one male distance runner, two female distance runners

(B) two female sprinters, one male distance runner, three female distance runners

(C) two female sprinters, one male distance runner, two female distance runners

(D) one female sprinter, two male distance runners, three female distance runners

(E) one male sprinter, one female sprinter, two male distance runners, one female distance runner

2. If the team includes three female distance runners, which one of the following could be a complete and accurate list of the remaining team members selected?

(A) one male distance runner

(B) two male distance runners

(C) one male distance runner, two female sprinters

(D) one male sprinter, one male distance runner

(E) one male sprinter, two male distance runners

3. Which one of the following could be true?

(A) No male distance runners are selected.

(B) Exactly one female distance runner is selected.

(C) All three sprinters are selected.

(D) All three male distance runners are selected.

(E) All five female athletes are selected.

4. If exactly four distance runners are selected, which one of the following must be true?

(A) Two sprinters are selected.

(B) At least one sprinter is selected.

(C) Exactly two of the selected distance runners are male.

(D) Exactly two of the selected distance runners are female.

(E) At least three of the selected distance runners are female.

5. Which one of the following must be true?

(A) The coach selects at least one female sprinter and at least one female distance runner.

(B) The coach selects at least one female sprinter and at least one male sprinter.

(C) The coach selects at least one female distance runner and at least one male distance runner.

(D) The coach selects at least two male distance runners.

(E) The coach selects at least two female distance runners.

6. Any one of the following could be true about the coach’s selection of team members EXCEPT:

(A) Exactly three female distance runners and exactly one sprinter are selected.

(B) Exactly two male distance runners and exactly one sprinter are selected.

(C) Exactly two female distance runners and exactly two sprinters are selected.

(D) Exactly one male distance runner and exactly two sprinters are selected.

(E) No male distance runners and exactly one sprinter are selected.

7. If the condition that no more than four females are selected is replaced with the condition that no more than three females are selected, and if all other constraints remain in effect, then which one of the following must be true?

(A) No female sprinters are selected.

(B) At least one female sprinter is selected.

(C) At least one male distance runner is selected.

(D) At least one male distance runner and at least one female sprinter are selected.

(E) At least two sprinters are selected.

Have fun!

If you enter your answers here: http://www.atlaslsat.com/logic-games-practice.cfm you can win a free book or money off of a course.

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