18. Any of the following can be true EXCEPT:
(A) J and O are both off.
(B) K and N are both off.
(C) K and P are both on.
(D) L and M are both on.
(E) N and O are both on.
19. If L and O are on, which one of the following must be true?
(A) J is and K is off.
(B) J is off and N is on.
(C) K is off and M is on.
(D) K is off and P is on.
(E) M is off and P is on.
20. Which one of the following can be true?
(A) Only J, K, and M are off.
(B) Only J, L, and M are off.
(C) Only K, M, and O are off.
(D) Only L, N, and O are off.
(E) Only M, N, and O are off.
21. If P is on, what is the maximum number of lights that can be off?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
22. What is the minimum number of lights that must be on?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
23. If J is on, which one of the following could be a complete and accurate list of the remaining lights that are also on?
(A) K, L, and M
(B) L, N, and P
(C) L, O, and P
(D) M, N, and O
(E) L and P
Question 7-11
Five seats on a train are arranged in two rows that face each other. The seats in row 1 are seat 1 and seat 2. The seats in row 2 are seat 3, seat 4, and seat 5 in that order. Seat 1 is directly across from seat 3. Seat 2 is directly across from seat 4. Seat 5 is not directly across from any other seat. Three women-, Betty, and Carol-and two men-David Edmund-each must be seated in one of me five seats, one person to a seat.
Betty sits in seat 4.
Carol sits next to neither Betty nor David.
Alice does not sit directly across from Carol.
7. If Edmund sits directly across from Betty, which one of the following must be true?
(A) Alice does not sit directly across from anyone.
(B) Alice sits directly across from David.
(C) Alice sits next to Edmund.
(D) David sits next to Alice.
(E) David sits next to Edmund.
8. If Edmund does not sit directly across from anyone, which one of the following is a complete and accurate list of those (other than Edmund) who cannot sit in seat 1?
(A) Betty
(B) Carol
(C) David
(D) Betty and Carol
(E) Betty and David
9. If none of the five passengers sits directly across from a passenger of the same sex, how many seating arrangements of the five passengers are possible?
(A) exactly 0
(B) exactly 1
(C) exactly 2
(D) exactly 3
(E) exactly 4
10. How many of the seats could be the one Alice selects as her seat?
(A) 1 only
(B) 2 only
(C) 3 only
(D) 4 only
(E) 5 only
11. How many different seating arrangements of the passengers might there be for row 2?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
