Statements: Some clothes are marbles. Some marbles are bags. Conclusions: i No…
2026
Statements: Some clothes are marbles. Some marbles are bags.
Conclusions:
i No cloth is a bag.
ii. All marbles are bags.
iii. Some bags are clothes.
iv. No marble is a cloth.
- A.
Only either I or IV follows
- B.
Only either I or II follows
- C.
Only either I or III follows
- D.
None follows
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Correct answer: D
Answer: None follows
Explanation:
From the statement "Some clothes are marbles" we know there exists at least one item that is both a cloth and a marble. Therefore the conclusion "No marble is a cloth" contradicts the premises and cannot follow.
From the statement "Some marbles are bags" we only have an existential claim (at least one marble is a bag). That does not allow the universal conclusion "All marbles are bags."
There is no information linking the specific marbles that are clothes to the specific marbles that are bags. Thus the statement "Some bags are clothes" cannot be inferred.
Similarly, the universal negative "No cloth is a bag" is not supported because the premises allow the possibility that a cloth could also be a bag. Hence none of the conclusions necessarily follows from the given statements.