Question

Two statements are given, followed by four options on which conclusions follow. Decide which conclusions logically follow the statements. Statements:
(i) All girls are students.
(ii) All doctors are students.
Conclusions:
I. All girls are students.
II. Some students are girls.
III. Some students are doctors.
IV. All doctors are girls.

• A. Only I follows
• B. Only I and II follows
• C. Only II and IV follow
• D. Only I and II and III follows

Hint:

From “All $A$ are $B$,” exams often accept the immediate inference “Some $B$ are $A$” (assuming $A$ exists). But two different subsets of the same superset cannot be related universally without an explicit linking premise.

Answer 1

The Correct Option is D

From (i) $G \subseteq S$ and (ii) $D \subseteq S$.
Conclusion I repeats (i), so it follows.
From $G \subseteq S$, we can particularize to “Some $S$ are $G$” (assuming $G$ is nonempty), hence II follows.
From $D \subseteq S$, we can particularize to “Some $S$ are $D$” (assuming $D$ is nonempty), hence III follows.
There is no premise linking $D$ and $G$ directly; both are merely subsets of $S$, so IV does not follow.
Therefore, only I, II, and III follow - option (d).