Identify the diagram that best represents the relationship among classes given…

2017

Identify the diagram that best represents the relationship among classes given below.
Brinjal, Banana, Vegetables

Attempted by 30 students.

Show answer & explanation

Concept: In a class-relationship (Venn) diagram, one class is drawn INSIDE another only when it is fully contained in it (a subset), and two classes are drawn as separate, non-touching circles when they have nothing in common (disjoint). So before choosing a figure, decide the real-world relationship between each pair of terms.

Apply this to Brinjal, Banana and Vegetables:

  • Brinjal is a kind of vegetable, so every brinjal is a vegetable. Brinjal must sit as a smaller circle wholly INSIDE the Vegetables circle.

  • Banana is a fruit, not a vegetable, so it shares nothing with Vegetables and nothing with Brinjal. Banana must be a separate circle, disjoint from the other two.

Cross-check: the matching figure is the one showing a large circle (Vegetables) with one small circle inside it (Brinjal), and a completely separate circle alongside (Banana) — a big circle enclosing a single small circle plus one detached circle outside.

The other figures encode wrong relationships: three fully separate circles would deny that brinjal is a vegetable; one big circle holding two inner circles would wrongly make banana a vegetable too; three circles nested one inside another would wrongly chain all three as subsets.

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