13. If Norma enters the marathon, then which one of the following cannot be
true?
(A) Both Kevin and Olivia enter the sprint.
(B) Kevin enters the relay and Olivia enters the sprint.
(C) Kevin enters the marathon and May enters the relay.
(D) Julio enters the marathon and May enters the relay.
(E) Julio enters the marathon and Kevin enters the relay.
14. If both Kevin and Olivia enter the relay, then which one of the following
must be true?
(A) Julion and Tamio enter the marathon.
(B) May enters the marathon.
(C) May enters the sprint.
(D) Tamio enters the sprint.
(E) Norma enters the sprint.
15. If both Julio and Kevin enter the same event, then which of the following
can be true?
Ⅰ.Julio enters the relay.
Ⅱ. May enters the marathon.
Ⅲ. Olivia enters the relay.
(A) Ⅰonly
(B) Ⅱ only
(C) Ⅲ only
(D) Ⅰand Ⅱonly
(E) Ⅰ,Ⅱ,and Ⅲ
16. If Norma and Olivia each enter different events, then which one of the
following cannot be true?
(A) Kevin and Olivia enter the marathon.
(B) Julio and Norma enter the relay.
(C) May and Olivia enter the relay.
(D) Norma and Tamio enter the relay.
(E) Olivia enters the sprint and Tamio enters the relay.
17. If both Julio and Kevin enter the relay, then which one of the following
must be false?
(A) May and Norma enter the marathon.
(B) May and Olivia enter the marathon.
(C) Norma and Tamio enter the sprint.
(D) May and Norma enter the sprint.
(E) May enters the sprint and Tamio enters marathon.
Questions 18-23
Seven lights-J, K, L, M, N, O, and P-have only two possible settings: on or
off. They are arranged on a particular electric circuit as follows.
If K is on, L is off; if K is off, L is on.
J and N cannot both be on.
If M is off, either J or N is on; if either J or N is on, M is off.
If P is on, L is on.
If O is off, N is off; if O is on, N is on.
Assume that the circuit is working as designed.
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
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