Problem 2 - Entrance Test

Statements: 1. Some tables are chairs. 2. All chairs are furniture. Conclusions: I. Some furniture are tables. II. All tables are furniture.

A. A. Only conclusion I follows.B. B. Only conclusion II follows.C. C. Either conclusion I or II follows.D. D. Neither conclusion I nor II follows.E. E. Both conclusions I and II follow.

Correct: A

Let's represent the statements: Statement 1: Some tables are chairs. (Overlap between Tables and Chairs circles). Statement 2: All chairs are furniture. (Chairs circle is entirely inside Furniture circle). Combining the statements: Since 'Some tables are chairs' and 'All chairs are furniture', it logically follows that 'Some tables are furniture'. Now, let's analyze the conclusions: I. Some furniture are tables. This is a conversion of 'Some tables are furniture', which we derived from the premises. If 'Some A are B', then 'Some B are A' is a valid conversion. Thus, Conclusion I follows. II. All tables are furniture. From the statements, we only know that 'Some tables are furniture'. It is possible that some tables are not furniture (e.g., if there are tables that are not chairs, and those are not furniture). So, Conclusion II does not necessarily follow. Therefore, only conclusion I follows.