Analyze the statements below and determine which of the conclusions logically follows, assuming the statements to be absolutely true even if they contradict reality.
Statements:Correct Answer :
If only conclusion I follows
Solution :
Correct Answer: If only conclusion I follows
Let us analyze the given statements step-by-step using logical rules of syllogism:
Given Statements:
1. Some Violins are Instruments
2. No Piano is a Violin
3. 0% of Instruments are Brass (which means: No Instrument is Brass)
Evaluating Conclusion I: "Some Violins can be Brass"
- From Statement 3, we know that no Instrument can be Brass.
- From Statement 1, we know that a certain portion of Violins overlaps with Instruments. Therefore, that specific portion of Violins can never be Brass.
- However, there is no restriction placed on the remaining portion of Violins (those Violins that are not Instruments). That portion could potentially be Brass without contradicting any given statement.
- Since Conclusion I states a possibility ("can be"), it is logically valid. Thus, Conclusion I follows.
Evaluating Conclusion II: "No Brass is a Piano"
- The statements establish relations between Violins and Instruments, Pianos and Violins, and Instruments and Brass.
- No relation is given or strictly derived between Brass and Piano.
- Since no definitive relationship can be established between Brass and Piano, a definite negative conclusion cannot be claimed as true.
- Thus, Conclusion II does not follow.
Final Conclusion:
Only Conclusion I logically follows from the given statements.
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