From time to time, the President of a company appoints planning Boards, each consisting of exactly three members. Eligible for appointment are three executives from Marketing—R, S, and T—and three executives from Finance—U, V, and W. Any given Board is subject to the following restrictions on appointments:
1. At least one member must be from Marketing, and at least one member must be from Finance.
2. If R is appointed, S cannot be appointed.
3. Neither T nor V can be appointed unless the other is appointed also.
4. If U is appointed, W must also be appointed.
1. Which of the following is an acceptable Board?
(A) R, T and W
(B) S, V, and W
(C) T, U, and V
(D) T, V, and W
(E) U, V, and W
2. If appointees from Marketing are in the majority on a Board, that Board must include
(A) R
(B) S
(C) U
(D) V
(E) W
3. If appointees from Finance are in the majority on a Board, that Board must include
(A) R
(B) S
(C) U
(D) V
(E) W
4. If R is appointed to the same Board as W, which of the following will be true of that Board?
(A) Appointees from Marketing are in the majority.
(B) Appointees from Finance are in the majority.
(C) S is a Board member.
(D) V is a Board member.
(E) U is not a Board member.
5. If the restrictions on appointments apply also to a four-member Board appointed from the same group of executives, which of the following will be true?
(A) If R is appointed, W must also be appointed.
(B) If S is appointed, U must also be appointed.
(C) If T is appointed, R must also be appointed.
(D) If V is appointed, S must also be appointed.
(E) If W is appointed, U must also be appointed.
