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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 tables are knives. All knives are paper. Some papers are blue. Conclusions: (I) Some blues are tables. (II) Some papers are tables.
Neither conclusion (I) nor (II) follows.
Only conclusion (I) follows.
Only conclusion (II) follows.
Both conclusions (I) and (II) follow.
Only conclusion (II) follows.
Represent the statements as overlapping circles (Venn Diagram). 'Some X are Y' implies overlap, 'All Y are Z' implies Y is inside Z. Check if the circle for 'Blues' and 'Tables' must intersect (Conclusion I) or 'Papers' and 'Tables' must intersect (Conclusion II).
Represent the statements as overlapping circles (Venn Diagram). 'Some X are Y' implies overlap, 'All Y are Z' implies Y is inside Z. Check if the circle for 'Blues' and 'Tables' must intersect (Conclusion I) or 'Papers' and 'Tables' must intersect (Conclusion II).
Analyze Statements
1. 'Some tables are knives': Tables and Knives circles intersect. 2. 'All knives are paper': The entire Knives circle is contained inside the Paper circle. 3. 'Some papers are blue': Paper and Blue circles intersect.
Evaluate Conclusion (I)
Conclusion: 'Some blues are tables.' Looking at the diagram, the Blue circle intersects with the Paper circle, but not necessarily with the Tables circle. Therefore, this does not logically follow.
Evaluate Conclusion (II)
Conclusion: 'Some papers are tables.' Since some tables are knives and all knives are paper, the part of the Table circle that represents knives is inherently part of the Paper circle. Thus, some papers are indeed tables. This follows.
A: Incorrect; Conclusion (II) is valid. C: Incorrect; Conclusion (II) follows. D: Incorrect; Conclusion (I) does not follow.
D is correct because conclusion (II) is a direct consequence of the statements (transitive relationship via 'knives'), whereas (I) remains a possibility but not a necessity.
In Syllogism questions, if a conclusion is not 100% true in ALL possible valid diagrams, it is considered false. Always check for alternate possibilities.
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