Direction: Identify the diagram that best represents the relationship among…
2024
Direction: Identify the diagram that best represents the relationship among classes given below.
Shirt, pants, and cloth.
Attempted by 9 students.
Show answer & explanation
Concept: In a Venn diagram, a subset relationship (every member of one category also belongs to another) is drawn as one circle placed entirely inside another. When two categories share no members with each other but both belong to a common broader category, they are drawn as two separate, non-overlapping circles, both placed inside the circle for that broader category.
Application: Cloth is the broader category — both shirts and pants are garments made of cloth, so Shirt and Pants are each a subset of Cloth. However, a shirt is never a pair of pants and a pair of pants is never a shirt, so Shirt and Pants share no members with each other. The diagram needed is therefore one large circle for Cloth, containing two smaller, non-overlapping circles for Shirt and Pants.
Cross-check: Testing each diagram against both conditions (subset of Cloth + no overlap between Shirt and Pants):
Two equal circles placed fully inside one larger circle, not touching each other — satisfies both conditions; this is the diagram required.
Three separate circles with none enclosing the other two — treats Cloth, Shirt, and Pants as three unrelated classes, which is wrong since Shirt and Pants are types of Cloth.
Three circles nested strictly one inside another — shows a single chain of containment, but Shirt and Pants are equal-ranking, separate types under Cloth, not one type of the other.
A nested pair of circles next to a separate plain circle — treats one class as a sub-type of another and leaves the third unrelated, which again does not match Shirt and Pants both being equal, separate subsets of Cloth.

The diagram with a large circle (Cloth) enclosing two smaller, non-overlapping circles (Shirt and Pants) — shown above — is the correct representation.