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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 clothes are rings. No cloth is a bottle. Conclusions: (I) Some rings are bottles. (II) Some rings are clothes.
Both conclusions (I) and (II) follow
Neither conclusion (I) nor (II) follows
Only conclusion (II) follows
Only conclusion (I) follows
Only conclusion (II) follows
Convert statements to standard Venn diagrams or 100/50 method. All C are R (+) and No C is B (-). A positive statement combined with a negative conclusion can be tested directly.
Convert statements to standard Venn diagrams or 100/50 method. All C are R (+) and No C is B (-). A positive statement combined with a negative conclusion can be tested directly.
Analyze Statement 1
All clothes are rings means the set of clothes is completely inside the set of rings.
Analyze Statement 2
No cloth is a bottle means there is no intersection between clothes and bottles.
Evaluate Conclusion I
Some rings are bottles. Since no direct relationship or definite overlap is given between rings and bottles, this conclusion does not logically follow.
Evaluate Conclusion II
Some rings are clothes. Since all clothes are rings, it directly follows that some rings are clothes.
A: Both conclusions following is incorrect because Conclusion I is indefinite. B: Neither conclusion following is incorrect because Conclusion II is definitely true. D: Only conclusion I following is incorrect because Conclusion I does not follow.
C is correct because 'Only conclusion (II) follows' since all clothes are rings directly implies that some rings are clothes, whereas the relationship between rings and bottles is indefinite.
In affirmative universal statements ('All A are B'), the reverse ('Some B are A') is always true.
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