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 :
Correct Answer: Only conclusion II follows
Step 1: Analyze the given statements
1. Only a few Monday is Tuesday: This implies a definite positive and negative relationship: "Some Monday is Tuesday" and "Some Monday is not Tuesday".
2. All Wednesday is Monday: The set of Wednesday is completely contained within the set of Monday.
3. Only Monday is Thursday: In syllogisms, an "Only A is B" statement converts to "All B is A" with an exclusive condition. This means "All Thursday is Monday", and Thursday cannot have any relationship or overlap with any other element except Monday. Thus, No Thursday can be Wednesday or Tuesday.
Step 2: Evaluate Conclusion I
Conclusion I: All Thursday can be Wednesday.
Due to the exclusive nature of the statement "Only Monday is Thursday", Thursday is restricted entirely to Monday and cannot overlap with Wednesday. Therefore, it is impossible for any Thursday to be Wednesday.
Hence, Conclusion I does not follow.
Step 3: Evaluate Conclusion II
Conclusion II: Some Wednesday can be Tuesday.
All Wednesday is inside Monday, and some Monday is Tuesday. There is no direct negative relation specified between Wednesday and Tuesday. Therefore, a possibility exists where the circle of Wednesday overlaps with Tuesday without violating any given statements.
Hence, Conclusion II logically follows as a possibility.
Conclusion:
Only conclusion II logically follows from the given statements.
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