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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: Some beds are tables. No tables are chairs. Conclusions: (I) All tables are beds. (II) Some chairs are beds.
Only conclusion (II) follows.
Both conclusions (I) and (II) follow.
Neither conclusion (I) nor (II) follows.
Only conclusion (I) follows.
Neither conclusion (I) nor (II) follows.
Translate statements into a mental Venn diagram or use standard rules of conversion and direct connection. If no positive bridge exists between chairs and beds, any definite conclusion about them is false.
Translate statements into a mental Venn diagram or use standard rules of conversion and direct connection. If no positive bridge exists between chairs and beds, any definite conclusion about them is false.
Analyze Statement 1
Some beds are tables. This indicates an overlapping region between the set of beds and the set of tables.
Analyze Statement 2
No tables are chairs. This means the set of tables and the set of chairs are completely disjoint (mutually exclusive).
Check Conclusion I (All tables are beds)
From 'Some beds are tables', we only know a part of tables are beds, not all tables. Therefore, Conclusion I does not logically follow.
Check Conclusion II (Some chairs are beds)
Chairs are separated from tables, but there is no direct negative or positive statement connecting chairs and beds. Thus, Conclusion II is a possibility but not a definite logical consequence.
A: Only conclusion (II) follows is incorrect because chairs have no definite connection to beds. B: Both conclusions follow is incorrect because neither conclusion is definitively true. D: Only conclusion (I) follows is incorrect as all tables being beds is not supported.
C is correct because neither conclusion (I) nor conclusion (II) logically follows from the given statements.
In syllogism questions involving negative statements ('No'), always check whether the unlinked terms have any definite universal relationship. If not, any positive conclusion between them is considered doubtful and does not follow.
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