In the following questions, answers are based on the diagram given below,…
2025
In the following questions, answers are based on the diagram given below, where the triangle represents doctors, the circle represents players, and the rectangle represents the artists. Which numbered space represents doctors who are players but not artists?
- A.
2
- B.
3
- C.
4
- D.
5
Show answer & explanation
Correct answer: C
In a three-set Venn diagram, a compound condition of the form "A and B but not C" is satisfied only by the region that lies inside both A and B while lying completely outside C; a region that also falls inside C does not qualify, even though it lies within A and B.
Here, the triangle stands for doctors, the circle for players, and the rectangle for artists.
The required group — doctors who are players but not artists — must lie inside both the triangle and the circle, and completely outside the rectangle.
Scanning the diagram for a region satisfying all three conditions together, only the region numbered 4 lies inside the triangle and the circle while staying outside the rectangle.
Checking the alternative regions confirms this: the region numbered 2 lies inside the rectangle as well (so those people are also artists), and the regions numbered 3 and 5 each fail to lie in the triangle-and-circle overlap — leaving region 4 as the only region that fits doctors who are players but not artists.