评论
打印
A circus magician has a "magic box " that has exactly six chambers designed to hold at least two animals each. There are five trained animals—a frog, a hen, a mouse, a parakeet, and a rabbit. On the front of the box, chambers 1, 2, and 3 are arranged in a straight line so that chamber 1 is directly adjacent to chamber 2, and chamber 2 is directly adjacent to chamber 3. On the back of the box, the chambers are also arranged in a straight line with chamber 4 directly adjacent to chamber 5, and chamber 5 directly adjacent to chamber 6. No chamber in the front of the box is directly adjacent to a chamber in the back. When working with the animals, the magician must obey the following restrictions:
None of the chambers can contain more than two animals at the same time. The mouse cannot be in the same chamber as any other animal, and any chamber directly adjacent to the chamber that the mouse occupies must remain empty.
Neither the hen nor the frog can be in the same chamber as the parakeet.
13.If the mouse is in chamber 2, and the other four animals are all in chambers, which of the following is a pair of chambers that must be empty?
(A) 1 and 3
(B) 1 and 4
(C) 2 and 4
(D) 3 and 5
(E) 3 and 6
14. If the mouse in chamber 2, the parakeet is in chamber 4, and all the other animals are in chambers, then the hen can be in chamber.
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
15.If no chamber contains more than one animal and each of the five animals is in a chamber, then there is a total of how many different chambers any one of which could be the chamber that contains the mouse?
(A) One
(B) Two
(C) Three
(D) Four
(E) Five
16.If all five animals are in the chambers, the mouse is in chamber 2, and the frog's chamber is different from and not directly adjacent to the hen's chamber, then the parakeet must be in chamber
(A) 1
(B) 3
(C) 4
(D) 5
(E) 6
17.If the hen is in chamber 1 with another animals, one animals is in chamber 5, and two animals are in chamber 3, which of the following pairs of animals must be in chamber 3?
(A) The frog and the mouse
(B) The frog and the parakeet
(C) The frog and the rabbit
(D) The mouse and the rabbit
(E) The parakeet and the rabbit
Questions 18-22
Seven science students—John, Kate, Luz, Mark, Nelson, Olga, and Pat—are to be divided into three groups. One group will consist of three students, and the other groups will consist of two students each. The following conditions apply to the assignment of students to groups:
John cannot be assigned to the group to which Luz is assigned Nelson must be assigned to the group to which Pat is assigned. Olga must be assigned to the group consisting of three students.
18.Which of the following is an acceptable assignment of students to groups?
(A) John, Kate, and Mark; Luz, Nelson, and Olga; Pat
(B) John, Mark, and Olga; Kate and Luz; Nelson and Pat
(C) Kate, Luz, and Olga; John and Nelson; Mark and Pat
(D) Mark, Nelson, and Pat; John and Kate; Luz and Olga
(E) Nelson, Olga, and Pat; John and Luz; Kate and Mark
19.If one of the groups of two consists of Luz and Mark, which of the following must be true?
(A) John is assigned to the group to which Kate is assigned.
(B) John is assigned to the group to which Nelson is assigned.
(C) Kate is assigned to the group to which Pat is assigned.
(D) Kate is assigned to a group consisting of two students.
(E) Nelson is assigned to the group consisting of three students.
20.If Nelson is assigned to the group to which Olga is assigned, which of the following can be true?
(A) Kate is assigned to the group to which John is assigned.
(B) Kate is assigned to the group to which Mark is assigned.
(C) Luz is assigned to the group to which Olga is assigned.
(D) John is assigned to the group consisting of three students.
(E) Pat is assigned to a group consisting of two students.
21.If Mark is assigned to a group to which neither John not Pat is assigned, which of the following must be true?
(A) John is assigned to the group to which Kate is assigned.
(B) John is assigned to the group to which Nelson is assigned.
(C) Kate is assigned to the group to which Luz is assigned.
(D) Kate is assigned tot the group to which Nelson is assigned.
(E) Kate is assigned to the group to which Olga is assigned.
22.If John and Olga are assigned to different groups from each other, which of the following CANNOT be true?
(A) John is assigned to the group to which Mark is assigned.
(B) Luz is assigned to the group to which Kate is assigned.
(C) Nelson is assigned to the group to which Olga is assigned.
(D) John is assigned to the group consisting of three members.
(E) John and Kate are assigned to different groups from each other.
