Read the statements given below and determine which of the conclusions logically follow from them, regardless of whether they align with commonly known facts.
Statements:
Only a few Monday is Tuesday.
All Wednesday is Monday.
Only Monday is Thursday.
Correct Answer :
Only conclusion II follows
Solution :
The correct option is Only conclusion II follows.
Step-by-step Explanation:
1. Understanding the given statements:
• "Only a few Monday is Tuesday": This implies two conditions: Some Monday is Tuesday AND Some Monday is not Tuesday.
• "All Wednesday is Monday": This means the entire set of Wednesday lies inside Monday.
• "Only Monday is Thursday": In syllogisms, an "Only A is B" statement means "All B is A" with the strict constraint that B belongs exclusively to A. Therefore, All Thursday is Monday, and Thursday cannot have any relationship or overlap with any other entity (such as Wednesday or Tuesday).
2. Evaluating Conclusion I: "All Thursday can be Wednesday"
Since Thursday is exclusively restricted to Monday by the rule "Only Monday is Thursday", Thursday can never overlap with Wednesday under any condition or possibility. Thus, Conclusion I does not follow.
3. Evaluating Conclusion II: "Some Wednesday can be Tuesday"
Since Wednesday is inside Monday and there is no negative relationship given between Wednesday and Tuesday, a possibility exists where some Wednesday can overlap with Tuesday. Thus, Conclusion II logically follows.
Therefore, Only conclusion II follows.
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