RAS question
Which Venn diagram best represents the relationship among: Doctors, Males, Females?
Correct answer: (B) Males and Females are separate, each overlapping with Doctors.
The correct Venn diagram shows Males and Females as separate disjoint sets, with the Doctors set overlapping both of them.
Explanation
NCERT explains that Venn diagrams use circles to show relationships between sets, and that the intersection of two sets contains elements common to both. Here, Males and Females are mutually exclusive categories, so their intersection is empty and their circles must not overlap. Doctors is a separate set based on profession, and its members can belong to either sex category. Therefore, the Doctors circle must intersect the Males circle for male doctors and the Females circle for female doctors, while the Males and Females circles remain disjoint. Option B is the only diagram that captures both parts of the relationship: no overlap between Males and Females, but overlap between Doctors and each of them.
Why the other options are wrong
- (A) It incorrectly makes Males and Females overlap, although these two sets are mutually exclusive in the relationship given.
- (C) It wrongly places all Doctors inside Males, excluding female doctors even though Doctors can overlap with Females as well.
- (D) It wrongly treats Males as a subset of Females and keeps Doctors separate, missing both the mutual exclusiveness of the sex categories and the overlap of Doctors with each.
Concept
This tests set relationships through Venn diagrams, especially intersection and disjoint sets. Such questions recur in RAS reasoning because they check whether a candidate can translate everyday categories into precise set logic.