Problem: Assume that, for a certain school, it is true that
I: Some students are not honest.
II: All fraternity members are honest.
A necessary conclusion is:
Answer Choices:
A. Some students are fraternity members.
B. Some fraternity members are not students
C. Some students are not fraternity members
D. No fraternity member is a student
E. No student is a fraternity member.
Solution:
(A) is invalid by figures
(B) is invalid by figure
(C) is valid in all cases (since some students exist who are not honest and, hence, they can't be fraternity members all of whom are honest)
(D) is invalid by figures
(E) is invalid by figures