Which region represents people who are politicians, Indians, and scientists…
2010
Which region represents people who are politicians, Indians, and scientists simultaneously?
Answer: C. a — ConceptIn a Venn diagram, simultaneous membership in several sets is shown by the region common to all those sets. A pairwise overlap contains two sets, while…
- A.
b
- B.
c
- C.
a
- D.
d
Attempted by 4 students.
Show answer & explanation
Correct answer: C
Concept
In a Venn diagram, simultaneous membership in several sets is shown by the region common to all those sets.
A pairwise overlap contains two sets, while the central common overlap of three circles represents their three-way intersection.
Application
A politician belongs to set P.
An Indian belongs to set I.
A scientist belongs to set S.
A person satisfying all three descriptions must therefore lie in I ∩ S ∩ P; the diagram labels this common region a.
Contrast
The region b lies in I and P but outside S, so it represents Indian politicians who are not scientists.
The region c lies only in I, outside both S and P.
The region d lies in I and S but outside P, so it represents Indian scientists who are not politicians.
Cross-check
The label a is inside all three circle boundaries, while b, c, and d each lie outside at least one required circle.
Result
Therefore, the required region is a.