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Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statements. Statement: Some ceilings are skies. Some skies are blue. Conclusion 1: Some ceilings are blue. Conclusion 2: Some skies are not blue.
Both conclusion 1 and 2 follow
Only conclusion 1 follows
Neither conclusion 1 nor 2 follows
Only conclusion 2 follows
Neither conclusion 1 nor 2 follows
In 'Some' relationships, there is no direct link between the first and last group (Ceiling and Blue) unless explicitly stated, and 'Some' statements never support a 'Not' conclusion.
In 'Some' relationships, there is no direct link between the first and last group (Ceiling and Blue) unless explicitly stated, and 'Some' statements never support a 'Not' conclusion.
Analyze Statement 1 and 2
Statements: (1) Some Ceilings are Skies, (2) Some Skies are Blue. This establishes a chain: Ceiling тЖТ Sky тЖТ Blue. However, the connection between 'Ceiling' and 'Blue' is indeterminate.
Evaluate Conclusion 1
Since the connection between 'Ceiling' and 'Blue' is not defined (they could be separate or overlapping), the relationship 'Some ceilings are blue' is a possibility but not a definite logical consequence.
Evaluate Conclusion 2
Statement 2 says 'Some skies are blue'. This does not imply that the remaining part of the skies are not blue. In syllogisms, 'Some' does not mean 'Some only', thus a 'not' conclusion is invalid.
A: Both are incorrect because no direct relationship exists between ceilings and blue, and 'some' does not imply 'some not'. B: Incorrect because conclusion 1 is only a possibility, not a certainty. D: Incorrect because the statement 'some skies are blue' provides no information about skies that are not blue.
C is correct because neither conclusion 1 (possibility is not certainty) nor conclusion 2 (lack of definitive negative information) logically follow from the given statements.
Always remember that in syllogisms, if a conclusion is only 'possible' and not 'definitely true', it is marked as false in a standard conclusion test. Never assume a negative relationship unless explicitly stated.
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