Questions 6-12

Exactly six employees—officers F, G, and H, and supervisors K, L, and M—must be assigned to exactly three committees—Policy, Quality, and Sales—with exactly three employees per committee Committee assignments must conform to the following conditions:

Each committee must have at least one officer assigned to it

Each employee must be assigned to at least one committee

All three officers must be assigned to the Policy Committee.

G cannot be assigned to the same committee as L.

K must be assigned to the Sales Committee

6. Which one of the following is a group of three employees who can be assigned together to the Sales Committee?

(A) F, G, and M
(B) F, G, and M
(C) G, K, and L
(D) H, K, and L
(E) K, L, and M

7. If H is assigned to exactly one committee, and if no committee has both F and M assigned to it, then it must be true that

(A) G and M are both assigned to the Quality Committee
(B) K and L are both assigned to the SalesCommittee
(C) K is assigned to exactly two committees
(D) L is assigned to exactly two committees
(E) M is assigned to exactly two committees

8. Which one of the following CANNOT be true?

(A) F is assigned to exactly one committee
(B) G is assigned to exactly three committee
(C) H is assigned to exactly three committee
(D) K is assigned to exactly one committee
(E) L is assigned to exactly two committee

9. If F is assigned to exactly three committees, and G is assigned to exactly two committees, then which one of the following must be true?

(A) G is assigned to the Quality Committee.
(B) G is assigned to the SalesCommittee.
(C) K is assigned to the Quality Committee.
(D) L is assigned to the Sales Committee.
(E) M is assigned to the Quality Committee.

10. Which one of the following is a group of three empoyees who can be assigned together to the Quality Committee?

(A) F, G, and H
(B) F, G, and K
(C) G, H, and K
(D) G, K and L
(E) H, L, and M

11. If L is assigned to exactly two committee. which one of the following must be true?

(A) F is assigned to the Sales Committee.
(B) G is assigned to the Sales Committee.
(C) H is assigned to the Quality Committee.
(D) K is assigned to the Quality Committee.
(E) M is assigned to the Quality Committee.

12. Which one of the following CANNOT be true?

(A) F and G are each assigned to exactly one committee.
(B) F and H are each assigned to exactly one committee.
(C) G and H are each assigned to exactly one committee.
(D) F and M are both assigned to the Sales Committee
(E) G and K are both assigned to the Quality Committee