The question is based on the following Venn diagram, in which three…
2009
The question is based on the following Venn diagram, in which three intersecting circles represent people who know Hindi, people who know English, and people who work as teachers. The regions are marked a, b, c, d, e, f, and g.
Among the labeled regions a–g, which region represents people who do not know English and are not teachers?
Answer: B. g — ConceptIn a Venn diagram, each circle represents a set. A required group is found by keeping the regions that satisfy every stated condition and excluding any…
- A.
e
- B.
g
- C.
b
- D.
a
Attempted by 4 students.
Show answer & explanation
Correct answer: B
Concept
In a Venn diagram, each circle represents a set. A required group is found by keeping the regions that satisfy every stated condition and excluding any region that lies inside a forbidden set.
The word “not” means outside the corresponding circle, while an overlap means membership in all overlapping sets.
Application
Consider all labeled regions a through g.
Exclude every part inside the English-knowing circle because the selected people must not know English.
Exclude every part inside the teachers’ circle because the selected people must not be teachers.
The remaining Hindi-only region is g.
Cross-check
Region g lies inside the Hindi circle but outside both the English and teachers’ circles, so it satisfies both exclusions simultaneously.
Result
Therefore, the region to be selected is g.