Choose the correct option for the Venn diagram given below
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.