Logical reasoning — syllogism and conclusions Statements: • The average number of persons per household is 5 in urban areas, whereas it is 7 in rural areas. • The national average is 6. Conclusions to evaluate: I. Population per unit area in rural regions is higher than in urban regions. II. More persons live in the same household in rural areas compared to urban areas.

Difficulty: Easy

Correct Answer: Only conclusion II follows

Explanation:


Introduction / Context:
This verbal reasoning item tests whether you can separate what is actually stated from what is only suggested. The statements compare average household size in urban versus rural areas and also provide a national average. We must judge which conclusions logically and unavoidably follow from only these statements, without importing outside knowledge about density, geography, or demography.



Given Data / Assumptions:

  • Average persons per household: urban = 5.
  • Average persons per household: rural = 7.
  • National household size average = 6.
  • No information about number of households, total population, or land area is provided.


Concept / Approach:
Use the strict follow test. A conclusion follows only if it must be true in all possible scenarios consistent with the given statements. If a conclusion needs extra facts (like land area or number of households), it does not follow.



Step-by-Step Solution:

Check conclusion I: It claims rural population density (population per unit area) is higher. Density requires total population and land area. Household size alone cannot determine density. Therefore I does not follow.Check conclusion II: It restates the given comparison for household size. Since rural household size is 7 and urban is 5, it is necessary that more persons live in an average rural household than in an average urban household. Hence II follows.


Verification / Alternative check:
Construct examples: rural household size 7, urban 5, but rural land area could be far larger, so density may be lower. This confirms that I is not guaranteed, while II is a direct restatement.



Why Other Options Are Wrong:

  • Only conclusion I follows: rejects the direct restatement and relies on missing density data.
  • Either I or II follows: I is not compelled, so the either clause fails.
  • Neither conclusion: ignores the explicit household size comparison.
  • Both conclusions: includes an unsupported density claim.


Common Pitfalls:
Confusing household size with population density; assuming typical rural spread or urban crowding when no area data is given.



Final Answer:
Only conclusion II follows

More Questions from Statement and Conclusion

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion