Self-study
Some students attending a small university with a well-known choir live off campus. ████ ███ ████ ████ ███ █████ ██████ ███ ███████ ██ ███ ██████ █ █████████ ██ ███ █████ ██████████ █████████ ████ ████ ██ ███ ████████ ███ ████ ███ ██████ ██ █ █████ ██████
Summary
A professor at a small university with a well-known choir concluded that none of the students who live off campus is a music major. Why? Because all music majors are members of the school’s choir.
Missing Connection
Based on the argument’s premise, we only know that if you’re a music major, you’re a member of the school’s choir. So why does the professor conclude that none of the students who live off campus is a music major?
The professor’s conclusion follows logically if we assume that all students who live off campus aren’t choir members. (Contrapositive: if you’re a choir member, you don’t live off campus).
8.
The professor's conclusion is properly █████ ██ █████ ███ ██ ███ █████████ ██ ████████
a
None of the ████████ ███ ████ ███ ██████ ██ █ ██████ ██ ███ ██████
We already know that all music majors are choir members. If (A) is true, then none of the students who live off campus are in the choir, so none of them is a music major.
b
None of the ████████ ███ ███ █████ ██████ ███ ██████ ██ ████ ███ ██████
This just reinforces the premise that all music majors are in choir so it’s irrelevant.
c
Some of the ████████ ███ ██ ███ ████ ███ ██████ ███ ███ █████ ███████
It doesn’t matter if some students who live on campus aren’t music majors. The correct answer must validate the professor’s conclusion that none of the students who live off campus is a music major.
d
All students who ████ ██ ██████ ███ █████ ███████
The professor’s conclusion is about students who live off campus. (D) is irrelevant.
e
All students who ███ ███████ ██ ███ █████ ███ █████ ███████
This professor’s conclusion is about students who live off campus. (E) tells us nothing about students who live off campus, so it’s irrelevant.