Questions are based on the following Venn diagram in which three intersecting…
2009
Questions are based on the following Venn diagram in which three intersecting circles represent Hindi-knowing persons, English-knowing persons and persons who are working as teachers. The regions are marked a, b, c, d, e, f and g.
If you want to select Hindi and English knowing teachers, which of the following is to be selected ?
Answer: C. c — ConceptIn a three-set Venn diagram, membership in all three groups is shown by the common intersection of all three circles. A region shared by only two…
- A.
g
- B.
b
- C.
c
- D.
e
Attempted by 6 students.
Show answer & explanation
Correct answer: C
Concept
In a three-set Venn diagram, membership in all three groups is shown by the common intersection of all three circles. A region shared by only two circles excludes the third group.
Application
Let H, E and T denote Hindi-knowing persons, English-knowing persons and teachers, respectively.
The required group is the intersection H ∩ E ∩ T.
In the diagram, the region common to all three circles is labelled c.
Cross-check and contrast
Region g represents Hindi-knowing persons only.
Region b represents Hindi- and English-knowing persons who are outside the teachers circle.
Region e represents English-knowing persons only.
Region c is the only one of these regions lying in all three circles.
Result
Therefore, the required region is c.