Statements: a. Some shirts are pants. b. All shoes are shirts. c. All pants are gloves. Conclusions: I. Some shoes are gloves. II. Some shirts are gloves. III. No pants are shoes. IV. All gloves are shirts.
AOnly II follows
BBoth I and III follow
COnly III follows
DOnly I and IV follow
Answer & Solution
Correct answer: A. Only II follows
Let shirts, pants, shoes, and gloves be sets.
From statement $a$, some shirts are pants.
From statement $c$, all pants are gloves. Therefore, the pants mentioned in $a$ are also gloves, so some shirts are gloves. Hence conclusion $II$ follows.
Conclusion $I$ says some shoes are gloves. We only know that all shoes are shirts, but there is no statement guaranteeing that any shoe is a pant or a glove. So $I$ does not follow.
Conclusion $III$ says no pants are shoes. There is no such restriction given. Pants and shoes may overlap or may not overlap. So $III$ does not follow.
Conclusion $IV$ says all gloves are shirts. We only know all pants are gloves, not all gloves are shirts. So $IV$ does not follow.
Thus only conclusion $II$ follows. Checking the options, this matches option $A$.