Brain Game Time! Another Logic Games Challenge.

Atlas LSAT has posted the most recent Logic Games Challenge #21 and they invite our listeners to join in: College Comedy Tour

A comic is planning her college tour schedule for the year. Her tour will include performances at least one of exactly eight different schools: Penn, Queens, Rice, Stanford, Tufts, Utah, Vermont and Wellesley. Her tour schedule must conform to the following conditions:

•If she performs at Rice, she will perform at neither Penn nor Stanford.
•If she performs at Queens, she will perform at neither Stanford nor Tufts.
•If she performs at Wellesley, she will perform at either Tufts or Utah, but not both.

1. Which one of the following could be a complete and accurate list of the schools at which she performs?
(A) Queens, Rice, Wellesley, Vermont
(B) Queens, Rice, Tufts, Vermont, Wellesley
(C) Rice, Tufts, Utah, Wellesley
(D) Rice, Stanford, Tufts, Wellesley
(E) Penn, Stanford, Tufts, Vermont, Wellesley

2. If she performs at Wellesley and Vermont, but not Utah, then she could also perform at any one of the following schools EXCEPT:
(A) Penn
(B) Queens
(C) Rice
(D) Stanford
(E) Tufts

3. If she performs at exactly four schools, including Tufts and Utah, the schools at which she does NOT perform could include any of the following pairs EXCEPT:
(A) Wellesley and Stanford
(B) Queens and Stanford
(C) Vermont and Rice
(D) Penn and Rice
(E) Stanford and Vermont

4. If she performs at exactly five schools, and does NOT perform at Rice, it could be true that she performs at neither
(A) Vermont nor Stanford
(B) Vermont nor Tufts
(C) Tufts nor Queens
(D) Tufts nor Utah
(E) Queens nor Stanford

5. If she performs at Rice, what is the maximum number of schools that could be included in the tour?
(A) 6
(B) 5
(C) 4
(D) 3
(E) 2

6. If she performs at exactly five schools, including Stanford and Vermont, the schools at which she does NOT perform could include any of the following EXCEPT:
(A) Penn
(B) Queens
(C) Rice
(D) Tufts
(E) Utah

Challenge Problem – Not for the faint of heart…
7. If she performs at exactly five schools, how many different groupings of schools (disregarding the order visited) are possible?
(A) 8
(B) 7
(C) 6
(D) 5
(E) 4

Think you have the answers? E-mail them to First person to submit the correct answers wins a $25 Amazon gift card. The best explanation posted on Atlas LSAT Forums wins $25 as well.

Answers to Logic Games Challenge #20: (1)E (2)D (3)C (4)A (5)E (6) C (7) E

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