2. Questions 12-19

A housing committee will consist of exactly five representatives, one of whom will be its chairperson. The representatives will be selected from among a group of five tenants--F, G, J, K, and M--and a group of four homeowners--P, Q, R, and S. The following conditions must be met:
The committee must include at least tow representatives from each group.
The chairperson must be a representative belonging to the group from which exactly two representatives are selected.
If F is selected, Q must be selected.
If G is selected, K must be selected.
If either J or M is selected, the other must also be selected.

M and P cannot both be selected.
(12). Which one of the following is an acceptable selection of representatives for the committee?
(A) F, G, Q, R, S
(B) F, J, K, P, Q
(C) F, P, Q, R, S
(D) J, K, M, Q, S
(E) J, M, P, Q, S

(13). Which one of the following lists three representatives who could be selected together for the committee?
(A) F, G, J
(B) F, G, M
(C) F, J, M
(D) G, J, K
(E) G, J, M

(14). If M is the chairperson of the committee, which one of the following is among the people who must also be on the committee?
(A) F
(B) G
(C) K
(D) P
(E) R

(15). If F is the chairperson of the committee, which one of the following is among the people who must also be on the committee?
(A) G
(B) K
(C) P
(D) R
(E) S

(16). If F is selected, any one of the following people could be the chairperson of the committee EXCEPT:
(A) G
(B) K
(C) P
(D) Q
(E) S

(17). If neither F nor K is selected for the committee, which one of the following can be true?
(A) G is selected.
(B) P is selected.
(C) J is the chairperson.
(D) Q is the chairperson.
(E) S is the chairperson.

(18). If the chairperson of the committee is to be a homeowner, which one of the following must be true?
(A) If G is selected, Q is also selected.
(B) If G is selected, R is also selected.
(C) If J is selected, F is also selected.
(D) If J is selected, Q is also selected.
(E) If J is selected, R is also selected.

(19). The committee must include at least one representative from which one of the following pairs?
(A) F, P
(B) G, J
(C) K, Q
(D) M, P
(E) R, S

KEYS: DCEBACAC