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Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and decide which conclusion(s) logically follow(s) from the given statements. Statements: All chairs are tables. No table is a bed. Conclusions: (I) Some beds are chairs. (II) No bed is a table.
Only conclusion (II) follows.
Only conclusion (I) follows.
Neither conclusion (I) nor (II) follows.
Both conclusions (I) and (II) follow.
Only conclusion (II) follows.
Convert statements into Venn or Euler diagrams. 'All C are T' means C is inside T. 'No T is B' means the T circle has zero overlap with B. Thus, C (being inside T) also has zero overlap with B.
Convert statements into Venn or Euler diagrams. 'All C are T' means C is inside T. 'No T is B' means the T circle has zero overlap with B. Thus, C (being inside T) also has zero overlap with B.
Analyze Statement 1
All chairs are tables means the set of chairs is entirely contained within the set of tables (C subset of T).
Analyze Statement 2
No table is a bed means the set of tables has zero intersection with the set of beds (T intersection B is empty).
Evaluate Conclusion I
Some beds are chairs: Since beds and tables have no overlap, beds cannot intersect with chairs (which are inside tables). Conclusion I is False.
Evaluate Conclusion II
No bed is a table: This is the direct converse of 'No table is a bed', which is unconditionally true. Conclusion II is True.
A: Conclusion (I) is false, so options claiming (I) follows are incorrect. C: Conclusion (I) does not follow, so both cannot follow. D: Conclusion (I) is false, so neither conclusion following is incorrect.
B is correct because conclusion (II) directly re-states the negative relationship between tables and beds, whereas conclusion (I) is false as beds and chairs have no overlap.
In syllogisms involving 'No', any negative statement can be reversed: 'No A is B' is identical to 'No B is A'. Always check containment relationships for interior sets like chairs inside tables.
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