Discussion
Given below are two statements and four conclusions drawn based on the statements.
Statement 1: Some bottles are cups.
Statement 2: All cups are knives.
Conclusion I: Some bottles are knives.
Conclusion II: Some knives are cups.
Conclusion III: All cups are bottles.
Conclusion IV: All knives are cups.
Which one of the following options can be logically inferred?
Answer: A
The answer is Only conclusion I and conclusion II are correct.
Conclusion I: the bottles that are cups are, like every cup, knives, so some bottles are knives. Conclusion II: since every cup is a knife and cups exist, some knives are cups; this is the converse of 'All cups are knives' restricted to 'some'.
Conclusion III does not follow: only some bottles are known to be cups, and nothing says every cup is a bottle. Conclusion IV reverses 'All cups are knives'; there may be knives that are not cups. So any option containing III or IV is wrong.
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