Study the Venn diagram given below, in which the circles represent Swimmers, Fishes, and Carnivores, and the…

Question

Study the Venn diagram given below, in which the circles represent Swimmers, Fishes, and Carnivores, and the shaded region marks where the Fishes and Carnivores circles overlap.

Venn diagram showing Swimmers, Fishes, and Carnivores

Based on the diagram, which of the following statements follow?

A. Some fishes are not carnivores.

B. All fishes are swimmers.

C. All fishes are carnivores.

D. Some swimmers are carnivores.

Accepted Answer

Correct answer: D — Concept: For a statement built on a Venn diagram, “All X are Y” holds only if X's circle sits completely inside Y's circle; “Some X are Y” holds if the two circles share any overlap at all; and “Some X are not Y” holds if part of X's circle lies outside Y's circle. Application: In the given diagram, the Fishes circle is drawn entirely inside the Swimmers circle, while the Carnivores circle overlaps only a portion of the Fishes circle (the shaded lens). Checking each statement against this layout: Statement Verdict Reasoning A. Some fishes are not carnivores True Only part of the Fishes circle lies in the shaded overlap with Carnivores, so the rest of Fishes lies outside Carnivores. B. All fishes are swimmers True The Fishes circle is drawn wholly inside the Swimmers circle. C. All fishes are carnivores False Only the shaded lens of Fishes overlaps Carnivores; the fishes outside that lens are not carnivores, so the containment is partial, not total. D. Some swimmers are carnivores True The shaded overlap between Fishes and Carnivores lies inside the Swimmers circle (since Fishes is inside Swimmers), so that same region also overlaps Swimmers and Carnivores. Cross-check: Statements A and C describe the same Fish–Carnivore relationship from opposite ends, so exactly one of them can hold for a diagram that is neither two separate circles nor one circle fully inside the other — the partial, lens-shaped overlap drawn here confirms which one. That same partial-overlap region, because it is drawn inside the Swimmers boundary, is what forces the Swimmers–Carnivores link as well. Result: The statements that follow from the diagram are A, B, and D — option “A, B and D”.

Answer

A. A, B and C

Answer

B. B, C and D

Answer

C. A, C and D

Answer

D. A, B and D

Statement	Verdict	Reasoning
A. Some fishes are not carnivores	True	Only part of the Fishes circle lies in the shaded overlap with Carnivores, so the rest of Fishes lies outside Carnivores.
B. All fishes are swimmers	True	The Fishes circle is drawn wholly inside the Swimmers circle.
C. All fishes are carnivores	False	Only the shaded lens of Fishes overlaps Carnivores; the fishes outside that lens are not carnivores, so the containment is partial, not total.
D. Some swimmers are carnivores	True	The shaded overlap between Fishes and Carnivores lies inside the Swimmers circle (since Fishes is inside Swimmers), so that same region also overlaps Swimmers and Carnivores.

Study the Venn diagram given below, in which the circles represent Swimmers,…