SECTION 1 Time—35 minutes 24 Questions Directions: Each group of questions in this section is based on a set of conditions. In answering some of the questions, it may be useful to draw a rough diagram. Choose the response that most accurately and completely answers each question and blacken the corresponding space on your answer sheet. Questions 1-5 On Wednesday a physician will have exactly one appointment with seven patients—P, Q, R, S, T, U, W—one patient per appointment. The schedule of appointments chronologically numbered 1 through 7, must meet the following conditions: Q’s appointment is at some time before P’s appointment U’s appointment is at some time before P’s appointment Either R or T has appointment 3 S’s appointment is either the appointment immediately before or the appointment immediately after R’s appointment. 1. Which one of the following is an acceptable schedule of appointments in order from 1 to 7? (A) Q, S, R, P, W, U, T (B) Q, U, W, S, R, T, P (C) S, Q, R, T, W, U, P (D) T, U, R, S, W, P, Q (E) U, Q, T, P, R, S, W 2. If W has appoinment 2 and P has appointment 5. then which one of the following must be true? (A) R has appointment 6 (B) S has appointment 4 (C) S has appointment 7 (D) U has appointment 1 (E) U has appointment 4 3. If U’s appointment is immediately after T’s appointment and immediately before R’s appointment, then which one of the following must be true? (A) Q’s appointment is at some time before P’s appointment. (B) S’s appointment is at some time before P’s appointment. (C) S’s appointment is immediately before Q’s appointment (D) W’s appointment is immediately before P’s appointment (E) W’s appointment is at some time before S’s appointment 4. If P’s appointment is immediately before S’s appointment, then each of the following could be true EXCEPT: (A) R’s appointment is immediately before W’s appointment (B) T’s appointment is immediately before Q’s appointment (C) U’s appointment is immediately before P’s appointment (D) U’s appointment is immediately before Q’s appointment (E) W’s appointment is immediately before T’s appointment 5. If T’s appoinemtne is immediately after P’s appointment and immediately before W’s appointment, then which one of the following must be true? (A) W’s appointment is at some time before R’s appointment. (B) U’s appointment is at some time before R’s appointment. (C) S’s appointment is at some time before U’s appointment. (D) R’s appointment is at some time before P’s appointment. (E) Q’s appointment is at some time before S’s appointment. 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