Self-study
According to the rules of the university's housing lottery, the only students guaranteed dormitory rooms are fourth-year students. ██ █████████ ███ ███████████ ███████ ██ ███ ██████ ████ ███ ██████ █ █████████ ████ ██████ ██████ ███ ██ ███ █ ███████████ ████████
Summary
The rules of the university’s housing lottery are as follows:
1. If a student is guaranteed a dorm room, they are a fourth year student (”the only” introduces the sufficient condition).
2. If a fourth year student is on the dean’s list, he or she can choose a dorm room before anyone who is not a fourth year student.
Strongly Supported Conclusions
If someone isn’t a fourth year student, they are not guaranteed a dorm room. In addition, they cannot choose a dorm room before any fourth year student who is on the dean’s list gets to choose.
3.
Which one of the following ██████████ ██ ████ ████████ █████████ ██ ███ █████ █████████ ██████
a
Benizer is a ███████████ ███████ ███ ██ ███ ██ ███ ██████ █████ ██ ███ ██ ███ ██████████ █ █████████ █████
Unsupported. We know that anyone who is guaranteed a dorm room is a fourth year student. So, it’s possible Benizer, as a fourth year student, can be guaranteed a dorm room. The dean’s list doesn’t matter for the rule concerning guaranteed dorm rooms.
b
Ivan and Naomi ███ ████ ███████████ ████████ ███ ████ █████ ██ ██ ███ ██████ █████ ██████████ ████ ███ ██████ █ █████████ ████ ██████ ██████
Unsupported. We know that fourth year students on the dean’s list can choose before anyone who isn’t a fourth year. But Ivan isn’t on the dean’s list. So we have no idea whether Ivan can choose before anyone else.
c
Halle, a third-year ████████ ██ ██ ███ ██████ █████ █████ ███ ██ ██████████ █ █████████ █████
Antisupported. Anyone who is guaranteed a room is a fourth year student. Since Halle isn’t a fourth year student, she is not guaranteed a dorm room.
d
Gerald and Katrina ███ ████ ██ ███ ██████ ████ ███ ████ ██████ ██ █ ███████████ ████████ █████ ██████ ███ ██████ █ █████████ ████ ██████ ████████
Must be true. Gerald is a fourth year student on the dean’s list. So, she can choose a room before anyone who isn’t a fourth year student, such as Katrina.
e
Anissa is a ███████████ ███████ ███ ██ ██ ███ ██████ █████ █████ █████ █████ ██ █ ███████████ ███████ ███ ██ ████ ██ ███ ██████ █████ ██ ███ ██████ █ █████████ ████ ██████ ███████
Antisupported. Fourth year students on the dean’s list can choose before anyone who is not a fourth year student. So, Anissa should be able to choose before Jehan.