UP High Court RO / ARO 05 Jan 2022 Shift 2

The Venn diagram represents which of the given alternatives?

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Verified Answer
A. Women, Officer, Stenographer
B. Flower, Stems, Roots
C. Table, Furniture, Carpet
D. Male, Doctors, Singers

Explanation:

The Venn diagram shows three concentric circles, which typically represent a hierarchical relationship where each inner circle is a strict subset of the next larger circle. This means if the circles are $A, B, C$ from innermost to outermost, then $A \subset B \subset C$. \nLet's analyze each option: * **Option 1: Women, Officer, Stenographer.** If we try to fit this into a nested structure, we might consider 'Stenographer' as the innermost, 'Officer' as the middle, and 'Women' as the outermost. While it is generally true that all stenographers are officers (in a professional context), it is not true that all officers are women. Therefore, the relationship 'Officer' $\subset$ 'Women' is false, and this option does not perfectly fit the nested diagram. * **Option 2: Flower, Stems, Roots.** These are distinct parts of a plant, but they do not form a nested hierarchical relationship. A stem is not a subset of a flower, nor are roots a subset of stems. They are separate components. This option clearly does not fit the diagram. * **Option 3: Table, Furniture, Carpet.** In this option, 'Furniture' is a broad category of household items. A 'Table' is a specific type of furniture. Thus, 'Table' $\subset$ 'Furniture' is a correct and clear subset relationship. However, a 'Carpet' is a floor covering and is generally not considered a type of furniture, nor is it a subset of 'Table'. Therefore, the inclusion of 'Carpet' in a strict nested hierarchy with 'Table' and 'Furniture' is logically inconsistent for a standard Venn diagram. Despite this logical inconsistency for the third element, this option contains the strongest partial subset relationship among the choices (Table is a subset of Furniture). In some reasoning contexts, if a perfect fit is unavailable, the option with the most significant correct partial relationship might be considered the intended answer, assuming 'Furniture' is the broadest category, 'Table' is a subset, and 'Carpet' is loosely associated as another household item, though not strictly nested. Given the choices, and acknowledging the flaw for 'Carpet', this option is often selected as the 'best fit' due to the clear 'Table' $\subset$ 'Furniture' relationship. * **Option 4: Male, Doctors, Singers.** These categories represent overlapping sets. Some males are doctors, some are singers, and some doctors are also singers. This relationship would be represented by intersecting circles, not concentric (nested) circles. This option clearly does not fit the diagram. \nConsidering the flaws in all options for a perfectly nested Venn diagram, Option 3 is chosen as the most plausible due to the clear subset relationship between 'Table' and 'Furniture', even though 'Carpet' does not fit the strict nesting.