In the following diagram Rectangle represents men, Triangle represents…
2023
In the following diagram Rectangle represents men, Triangle represents educated, Circle represents urban and Square represents government employees.
Which one of the following represents the educated men but not urban?
- A.
9
- B.
5
- C.
4
- D.
11
Show answer & explanation
Correct answer: D
CONCEPT: In a classification-style Venn diagram, each closed shape stands for one category, and every enclosed region is defined by exactly which shapes it lies inside and which it lies outside. To find a region satisfying several conditions joined by ‘and’/‘but not’, locate the area that is inside every shape named affirmatively and outside every shape named negatively.
APPLICATION: Here Rectangle = Men, Triangle = Educated, Circle = Urban. ‘Educated men but not urban’ requires a region inside both the Triangle and the Rectangle, while lying outside the Circle. Region 11 sits inside the Triangle and inside the Rectangle, and it lies outside the Circle’s boundary, so it satisfies all three conditions together: educated, men, not urban.
CROSS-CHECK: Region 4, just above region 11, also lies inside the Triangle and the Rectangle, but it additionally falls inside the Circle — making it educated, men, AND urban, which fails the ‘not urban’ condition. This contrast confirms region 11, not region 4, is the region being asked for.