Which region represents professors who are both artists and sportspersons?
2011
Which region represents professors who are both artists and sportspersons?
Answer: A. a — ConceptIn a three-set Venn diagram, an element that belongs to all three sets lies in their common intersection. The required region must therefore be inside…
- A.
a
- B.
c
- C.
d
- D.
g
Attempted by 3 students.
Show answer & explanation
Correct answer: A
Concept
In a three-set Venn diagram, an element that belongs to all three sets lies in their common intersection.
The required region must therefore be inside every relevant circle at the same time.
Application
Let A denote Artists, P denote Professors, and S denote Sportspersons.
Professors who are both artists and sportspersons belong to P, A, and S simultaneously.
In the diagram, the region common to circles A, P, and S is labelled a.
Contrast
Region a represents the intersection of A, P, and S.
Region c represents the overlap of P and S outside A.
Region d represents the part of S outside both A and P.
Region g represents the overlap of A and P outside S.
Cross-check
Because region a is inside all three circles, it satisfies all three memberships simultaneously; the other offered regions omit at least one required circle.
Result
The required region is a.