UP High Court RO / ARO 10 Dec 2021 Shift 1

Choose the correct option for the Venn diagram given below Diagram Required

Verified Answer
A. (1) Cows, buffaloes, cattle
B. (2) Solids, liquids, gases
C. (3) Fathers, men, teachers
D. (4) Yellow, red, colours

Explanation:

The Venn diagram shows three distinct regions with specific relationships: - A large outer circle (let's call it A). - A smaller inner circle (let's call it B) completely contained within circle A. - A third circle (let's call it C) that is also completely contained within circle A, but does not overlap with circle B. Circles B and C are disjoint subsets of A. \nLet's analyze each option based on this interpretation: (1) Cows, buffaloes, cattle: - Let A = Cattle (the general category of bovine animals). - Let B = Cows (adult female cattle, a specific type within Cattle). - Let C = Buffaloes (a distinct species of bovine, also considered cattle in a broader sense, but distinct from cows). - All Cows are Cattle (B is a subset of A). This fits. - All Buffaloes are Cattle (C is a subset of A). This fits. - No Buffaloes are Cows (B and C are disjoint). This fits. This option perfectly matches the diagram. (2) Solids, liquids, gases: - These are three distinct states of matter. They would be represented by three separate, non-overlapping circles, not a nested structure. This does not fit the diagram. (3) Fathers, men, teachers: - Let A = Men (the general category). - Let B = Fathers (a subset of Men, as all fathers are men). This fits. - Let C = Teachers. Some teachers are men (C would intersect A), and some teachers are fathers (C would intersect B). The diagram shows C not overlapping with B, which implies no teachers are fathers, which is factually incorrect. This does not fit the diagram. (4) Yellow, red, colours: - Let A = Colours (the general category). - Let B = Yellow (a specific colour, a subset of Colours). This fits. - Let C = Red (a specific colour, a subset of Colours, distinct from Yellow). - All Yellow are Colours (B is a subset of A). This fits. - All Red are Colours (C is a subset of A). This fits. - No Red are Yellow (B and C are disjoint). This fits. This option also perfectly matches the diagram. \nBoth (1) and (4) are excellent fits for the diagram. However, in multiple-choice questions, there is usually one best answer. The relationship between 'Cows', 'Buffaloes', and 'Cattle' is a classic example used to illustrate this specific Venn diagram structure in logical reasoning, often preferred due to the clear biological distinction within a broader category. Therefore, (1) is typically considered the intended correct answer for this type of diagram.