Questions 9-13
Every morning five commuters, M, N, O, P, and Q, go to one railroad station and board a train that stops at exactly six subsequent stations, numbered 1-6; the train stops first at station 1 and proceeds in Numerical order to station 6.
M always gets off either at station 1 or at station 2.
O always gets off the station before or one station after Q's station.
P always gets off at station 3.
Q always gets off at station 4, 5, or 6.
No one reboards the morning train after getting off.
9. On a morning when no one gets off at stations 5 and 6, which of the following must be true?
(A) M gets off at station 2.
(B) N gets off at station 2.
(C) O gets off at station 4.
(D) N and P get off at the same station.
(E) O and P get off at the same station.
10. On a morning when Q gets off at station 4, and no more than two of the commuters get off at any one station, which of the following must be true?
(A) If N gets off at station 2, M gets off at station 1.
(B) If N gets off at station 3, O gets off at station 5.
(C) If N gets off at station 4, O gets off at station 5.
(D) If O gets off at station 3, N gets off at station 2.
(E) If O gets off at station 3, N gets off at station 5.
11. Stations at which it is possible for N and O to be the only commuters getting off the morning train include which of the following?
Ⅰ. Station 3
Ⅱ. Station 4
Ⅲ. Station 5
(A) Ⅰonly
(B) Ⅲ only
(C) Ⅰand Ⅱ only
(D) Ⅱ and Ⅲ
(E) Ⅰ, Ⅱ, and Ⅲ
12. On a morning when no one gets off at station 1, and each of the five commuters gets off at a different station, which of the following GANNOT he true?
(A) N gets off one station before Q.
(B) P gets off one station before O.
(C) M gets off at station 2.
(D) N gets off at station 5.
(E) Q gets off at station 6.
13. A new commuter, R, joins the group and gets off every morning at station 5. On a morning when two commuters gets off at the same station and all other commuters get off alone, which of the following could be the station at which the two commuters get off?
(A) Station 1
(B) Station 2
(C) Station 3
(D) Station 4
(E) Station 6
Questions 14-18
Two families are planning to go on a canoe trip together. The families consist of the following people:
Robert and Mary Henderson and their three sons, Tommy, Dan, and William;
Jerome and Ellen Penick and their two daughters, Kate and Susan.
There will be three canoes, with three people in each canoe.
At least one of the four parents must be in each canoe.
At least one person from each family must be each canoe.
14. If the two mothers ride together in the same canoe, and the three brothers each ride in a different canoe, which of the following must be true?
(A) Each canoe has both only male and females in.
(B) One of the canoes has only females in it.
(C) One of the canoes has only males in it.
(D) The sisters ride in the same canoe.
(E) The fathers ride in the same canoe.
15. If Ellen and Susan are together in one of the canoes, which of the following could be a list of the people together in another canoe?
(A) Dan, Jerome, Kate
(B) Dan, Jerome, William
(C) Dan, Kate, Tommy
(D) Jerome, Kate, Mary
(E) Mary, Robert, Tommy
16. If Jerome and Mary are together in one of the canoes, each of the following could be a list of the people together in another canoe
EXCEPT
(A)Dan, Ellen, Susan
(B) Ellen, Robert, Tommy
(C)Ellen, Susan, William
(D)Ellen, Tommy, Wiliam
(E)Kate, Robert, Susan
17. If each of the Henderson children rides in a different canoe, which of the following must be true?
Ⅰ.The Penick children do not rode together.
Ⅱ.The Penick parents do not ride together.
Ⅲ. The Henderson parents do not ride together.
(A)Ⅰonly
(B)Ⅱonly
(C)ⅠandⅡonly
(D)Ⅰand Ⅲ only
(E)Ⅰ,Ⅱ, and Ⅲ