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Statements: Some tables are chairs. All chairs are desks. Conclusions: (I) Some desks are tables. (II) Some tables are desks.
Only conclusion I follows
Only conclusion II follows
Both I and II follow
Neither I nor II follows
Both I and II follow
In syllogisms, 'Some A are B' always implies 'Some B are A'. Since all chairs are desks, any table that is a chair is automatically a desk, confirming both conclusions.
In syllogisms, 'Some A are B' always implies 'Some B are A'. Since all chairs are desks, any table that is a chair is automatically a desk, confirming both conclusions.
Analyze Statement 1
Some tables are chairs. This creates an intersection between the set of Tables and the set of Chairs. This implies that at least some Tables are Chairs and some Chairs are Tables.
Analyze Statement 2
All chairs are desks. This means the entire circle of Chairs is contained within the circle of Desks.
Evaluate Conclusions
Because some tables are chairs and all chairs are desks, the region where tables and chairs overlap is now inside the desk circle. Therefore, some tables must be desks (Conclusion II). Conversely, if some tables are desks, then some desks are tables (Conclusion I).
A is incorrect because conclusion II also logically follows from the premises. B is incorrect because conclusion I also logically follows from the premises. D is incorrect because both conclusions are logically valid deductions.
C is correct because both conclusions are logically supported by the overlapping Venn diagram sets formed by the provided statements.
Always remember the conversion rule: Some A are B is equivalent to Some B are A. This saves time in questions involving 'Some' relationship statements.