LSATAR

24 Questions
Time--35 minutes

Directions: Each group of questions is based on a set of propositions or conditions. Drawing a rough picture or diagram may help in answering some of the questions. Choose the best answer for each question and blacken the corresponding space on your answer sheet.

Questions 1–6

Five juniors¾ F,G,H,J, and K¾ and four seniors¾ P,Q,R, and S¾ are to be appointed to serve on one of three committees¾ the Curriculum Committee, the Ethics Committee, or the Recreation Committee. Each committee will have three members, and each student will serve on exactly one committee. The following restrictions apply:

F and Q must serve on the Curriculum Committee.

P must serve on the Recreation Committee.

G cannot serve on the Recreation Committee unless S also serves on the Recreation Committee.

J cannot serve on a committee with either H or Q.

R cannot serve on the same committee as S.

Each committee must include at least one senior.

1. Which of the following is an acceptable assignment of students to the three committees?

Curriculum
Committee Ethics
Committee Recreation
Committee

(A) F,G,H J,K,R P,Q,S

(B) F,Q,S G,H,R J,K,P

(C) F,Q,J G,H,R K,P,S

(D) F,R,Q H,J,K G,P,S

(E) F,S,Q H,K,R G,J,P

2. Which of the following is a complete and accurate list of the committees to which S could be assigned?

(A) Curriculum

(B) Curriculum, Ethics

(C) Curriculum, Recreation

(D) Ethics, Recreation

(E) Curriculum, Ethics, Recreation

3. If K serves on the Recreation Committee, the Ethics Committee must include

(A) G

(B) H

(C) J

(D) R

(E) S

4. If R serves on the Curriculum Committee, then which of the following must be true?

(A) G serves on the Recreation Committee.

(B) H serves on the Ethics Committee.

(C) H serves on the Recreation Committee.

(D) J serves on the Ethics Committee.

(E) K serves on the Recreation Committee.

5. If exactly two seniors serve on the Curriculum Committee, then which of the following must be true?

(A) G serves on the Ethics Committee.

(B) H serves on the Recreation Committee.

(C) J serves on the Recreation Committee.

(D) R serves on the Curriculum Committee.

(E) S serves on the Ethics Committee.

6. Which of the following would completely determine the assignment of students to the three committees?

(A) G serves on the Ethics Committee.

(B) G serves on the Recreation Committee.

(C) H serves on the Curriculum Committee.

(D) R serves on the Ethics Committee.

(E) S serves on the Recreation Committee.

Questions 7–12

Six speakers¾ Jean, Kelley, Louise, Robert, Samuel, and Thomas¾ are to address a conference. Only one speaker speaks at a time, and each speaker speaks only once. The schedule of speakers must meet the following conditions:

Jean speaks sometime after Kelley.

Robert speaks sometime after Louise.

Louise is the third speaker after Samuel.

Kelley speaks either first or third.

7. Which of the following CANNOT be true?

(A) Jean speaks third.

(B) Jean speaks sixth.

(C) Samuel speaks third.

(D) Robert speaks sixth.

(E) Thomas speaks fourth.

8. Which of the following speakers could be scheduled to speak either third or fifth?

(A) Jean

(B) Louise

(C) Robert

(D) Samuel

(E) Thomas

9. Which of the following is a complete and accurate list of the speakers who could speak second?

(A) Samuel

(B) Thomas

(C) Thomas, Jean

(D) Samuel, Thomas

(E) Samuel, Thomas, Jean

10. If Kelley speaks third, then all of the following could be true EXCEPT:

(A) Kelley speaks immediately before Louise.

(B) Kelley speaks immediately after Thomas.

(C) Louise speaks immediately before Jean.

(D) Robert speaks immediately after Louise.

(E) Samuel speaks immediately before Jean.

11. If Jean speaks either immediately before or immediately after Thomas, then which of the following must be true?

(A) Samuel speaks first.

(B) Kelly speaks third.

(C) Thomas speaks third.

(D) Louise speaks fourth.

(E) Robert speaks sixth.

12. Which of the following is a complete and accurate list of the positions in which Jean could speak?

(A) third, fourth

(B) fourth, fifth

(C) third, fourth, fifth

(D) third, fourth, fifth, sixth

(E) second, third, fourth, fifth, sixth

Questions 13-18

Ten patients¾ F, G, H, J, K, P, Q, R, S, and T¾ must be scheduled for appointments with a doctor. The doctor will see one patient in the morning and one patient in the afternoon on consecutive days, Monday through Friday. Each patient will be seen only once and according to the following restrictions:

F, G, H, J, and K must have morning appointments.

F and P must have appointments on the same day but not on Monday.

J and Q cannot be seen on the same day.

K and S must have appointments on the same day.

T's appointment must be the day before J's appointment.

13. Which of the following is an acceptable schedule of appointments?

Mon Tue Wed Thu Fri

(A) AM G K H J F

PM R S T Q P

(B) AM G S F H J

PM Q K P T R

(C) AM H J F K G

PM T R P S Q

(D) AM K H J F G

PM S T R Q P

(E) AM H J K F G

PM T R Q P S

14. Which of the following CANNOT be true?

(A) J's appointment is on Tuesday.

(B) K's appointment is on Monday.

(C) P's appointment is on Wednesday.

(D) Q's appointment is on Thursday.

(E) T's appointment is on Friday.

15. Which of the following must be true?

(A) G's appointment is on the same day as T's.

(B) H's appointment is on the same day as Q's.

(C) J's appointment is on the same day as R's.

(D) Q's appoinTment is on the day after F's appointment.

(E) P's appointment is on the day after K's appointment.

16. If G's appointment is on the day following J's appointment, then which of the following must be true?

(A) G's appointment is on Wednesday.

(B) G's appointment is on Thursday.

(C) K's appointment is on the day before P's appointment.

(D) T's appointment is on the same day as H's appointment.

(E) P's appointment is on the day before T's appointment.

17. If K's appointment is on the second day following P's appointment, then all of the following must be true EXCEPT:

(A) G's appointment is on Monday.

(B) J's appointment is on Tuesday.

(C) K's appointment is on Friday.

(D) Q's appointment is on Thursday.

(E) S's appointment is on Friday.

18. If G's appointment is on Wednesday and H's on Friday, then how many different schedules are possible?

(A) one

(B) two

(C) three

(D) four

(E) five

Questions 19-24

Seven students¾ Frankie, George, Harry, Jenny, Kurt, Lara, and Mark¾ took a test. Each student received a different score, and the scores were distributed as follows:

Frankie scored higher than George.

George scored higher than Kurt.

Kurt scored higher than Mark.

Harry scored higher than both George and Lara but lower than Jenny.

Lara did not receive the lowest score.

19. Which of the following is a possible ranking of the scores, from highest to lowest?

(A) Frankie, Jenny, Kurt, Harry, George, Lara, Mark

(B) Frankie, Jenny, Harry, Lara, George, Kurt, Mark

(C) Frankie, George, Jenny, Harry, Kurt, Lara, Mark

(D) Jenny, Frankie, Harry, Kurt, George, Lara, Mark

(E) Jenny, Frankie, Harry, George, Kurt, Mark, Lara

20. Which of the following must be true?

(A) Frankie received the highest score.

(B) Jenny received the highest score.

(C) George received the fourth highest score.

(D) Kurt received the lowest score.

(E) Mark received the lowest score.

21. Which of the following must be true?

(A) Frankie scored higher than Harry.

(B) Harry scored higher than Kurt.

(C) Lara scored higher than Kurt.

(D) Kurt scored higher than Lara.

(E) Mark scored higher than Lara.

22. Which of the following is a complete and accurate list of the students who could have gotten the three highest scores?

(A) Frankie, George, Jenny

(B) Frankie, Harry, Jenny

(C) Frankie, Harry, Jenny, Lara

(D) Frankie, Harry, Lara, George

(E) Frankie, George, Harry, Jenny, Lara

23. If George scored higher than Lara, then it is possible to determine the exact ranking of how many students?

(A) one

(B) two

(C) three

(D) four

(E) five

24. If Lara scored higher than George, then it is possible to determine the exact ranking of how many students?

(A) one

(B) two

(C) three

(D) four

(E) five

Answer Key

1. B
2. E
3. A
4. E
5. A

6. B
7. C
8. A
9. D
10. E

11. E
12. D
13. C
14. E
15. C

16. D
17. A
18. A
19. B
20. E

21. B
22. C
23. B
24. C

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