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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. Some tables are beds. Conclusions: (I) All beds are chairs. (II) Some tables are chairs.
Both conclusions (I) and (II) follow
Only conclusion (II) follows
Only conclusion (I) follows
Neither conclusion (I) nor (II) follows
Only conclusion (II) follows
Convert statements to standard Venn diagrams or 100/50 method. All chairs are tables (Chair = 100, Table = 50), Some tables are beds (Table = 50, Bed = 50). Conclusion I (All beds are chairs) fails because Bed has no direct relation or positive 100 value. Conclusion II (Some tables are chairs) follows directly from 'All chairs are tables' by conversion.
Convert statements to standard Venn diagrams or 100/50 method. All chairs are tables (Chair = 100, Table = 50), Some tables are beds (Table = 50, Bed = 50). Conclusion I (All beds are chairs) fails because Bed has no direct relation or positive 100 value. Conclusion II (Some tables are chairs) follows directly from 'All chairs are tables' by conversion.
Analyze Statement 1
All chairs are tables. This means the set of chairs is entirely enclosed within the set of tables.
Analyze Statement 2
Some tables are beds. This means there is an intersection between the set of tables and the set of beds.
Evaluate Conclusion I
All beds are chairs. There is no given information or necessary logical constraint linking beds directly to chairs. Hence, Conclusion I does not follow.
Evaluate Conclusion II
Some tables are chairs. Since all chairs are tables, it logically follows that some tables are chairs (conversion of a universal affirmative statement). Hence, Conclusion II follows.
A: Both conclusions do not follow because conclusion I is invalid. C: Only conclusion I is wrong as beds and chairs have no definite connection. D: Neither conclusion is false since conclusion II definitely follows.
B is correct because conclusion II logically follows from the given statements while conclusion I does not.
In affirmative universal statements like 'All A are B', the reverse conversion 'Some B are A' is always true.
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