SECTION 1

Time-35 minutes

24 Questions


Directions: Each group of questions in this section is based on a set of conditions. In answering some of the questions, it may be useful to araw a rough diagram. Choose the resoonse that most accurately¹ and completely answers each question and blacken the corresponding space on your answer sheet.

Questions 1-6

　　Seven students-fourth-year students Kim and Lee; third-year students Pat and Robin²: and second-year students Sandy, Tety and Val-and only those seven, are being assigned a rooms of equal size in a dormitory. Each room assigned must have either one or two or three students assigned to it and will accordingly be called either a single or a double or a triple. The seven students are assigned to moms in accordence with the following conditions:

　　Lio fourth-year student can be assigned to a triple.

　　No second-year student can be assigned to a single.

　　Lee and Pobin must not share the same room

　　Kim and Pat must share the same room.
　
1. Which one of the following is a combination of rooms to which the seven students could be assigned?

　(A) two triples and one single
　(B) one triple and four singles
　(C) three doubles and a stngle
　(D) two doubles and three singles
　(E) one double and five singles

2. It the room assigned to Robin is a single, which one of the following could be true?

　(A) There is exactly one double that has a second-year student assigned to it.
　(B) Lee is assigned to a stngle.
　(C) Sandy Fat and one other student are zseigned to a triple together.
　(D) Lixactly three of the rooms assigned to the students are singles
　(E) Exactly two of the rooms assigned to the students are doubles.

3. Which one of the following must be true?
　
　(A) Lee is assigned to a single
　(B) Pat sharts a double with another student
　(C) Robin shares a double with another student
　(D) Two of the second-year students share a double with each other
　(E) Neither of the third-year students is assigned to a single

4. If Robin is assigred to a triple, which one of the following must be true?
　
　(A) Lee is assigned to a single
　(B) Two second-year students share a double with each other
　(C) None of the rooms assigned to the students is a single
　(D) Two of the rooms assigned to the students are singles.
　(E) Three of the rooms assigned to the students are singles

5. If Terry and Val assigned to different doubles from each other, other, then it must be true of the students rooms that exactly

　(A) one is a single
　(B) two are singles
　(C) two are doubles
　(D) one is a triple
　(E) two are triples

6. Which one of the following could be true?
　
　(A) The two fourth-year students are assigned to singles.
　(B) The two fourth-year students share a double with cach other.
　(C) Lee shares a room with a second-year student
　(D) Lee shares a room with a third-year student
　(E) Pat shares a triple with two other students

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