The question given below contains three elements. These elements may or may…
2024
The question given below contains three elements. These elements may or may not have some inter linkage. Each group of elements may fit into one of these diagrams at (A), (B), (C), (D) and/or (E). You have to indicate the group of elements which correctly fits into the diagrams. Which of the following diagrams indicates the best relation between Lion, Dog and Snake?
Attempted by 2 students.
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Concept: In a classification Venn diagram, the way three circles are drawn encodes the relationship between the three groups. Three fully separate (disjoint) circles mean the groups share no member and none is a sub-category of another. Two overlapping circles mean the two groups share some members. One circle drawn fully inside another means the inner group is entirely a sub-category of the outer group. Three circles nested one inside another mean a three-level chain of sub-categories.
Application: Lion, Dog, and Snake are three entirely distinct, unrelated categories. A Lion is a wild feline, a Dog is a domestic canine, and a Snake is a limbless reptile. No lion is a dog or a snake, no dog is a lion or a snake, and no snake is a lion or a dog — none of the three is a sub-category of either of the other two, and no individual can belong to two of these groups at once. So the diagram must show all three groups as completely independent of one another, with no shared boundary, no overlap, and no containment between any pair.
Cross-check: Checking the relationship implied by each type of diagram against Lion, Dog, and Snake rules out every diagram except one:
A diagram of three circles nested one inside another (each fully inside the next) would mean each group is a sub-category of the next — for example the smallest group is a sub-type of the middle group, which is in turn a sub-type of the largest. Lion, Dog, and Snake have no such chain of sub-categories, so this diagram does not fit.
A diagram of one large circle with two smaller circles that touch each other and both touch the large circle's edge would mean two of the groups share a special direct link with each other while both connect to the third. Lion, Dog, and Snake do not have any such special link between any two of them, so this diagram does not fit either.
A diagram of one large circle containing two smaller circles inside it (touching each other but both enclosed by the larger one) would mean two of the groups are both sub-categories of the third, larger group. None of Lion, Dog, or Snake is a broader category containing the other two, so this diagram does not fit.
Answer: Only the diagram with three completely separate circles — no shared boundary, no overlap, and no containment between any pair — correctly represents three fully independent categories, which is exactly the relationship between Lion, Dog, and Snake.