Question
Read the given statements and conclusion carefully.
Assuming the information given in the statement is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some Linear are Parallel. Some Parallel are Triangular. No Square is a Triangular. All Circle are Square. Conclusion: I. No Circle is Triangular. II. Some Linear are Triangular. III. Some Parallel are not Circle.Solution
All Circle are Square (A) + No Square is a Triangular (E) → No Circle is a Triangular (E). Hence conclusion I follows. Some Linear are Parallel (I) + Some Parallel are Triangular (I) → No conclusion. Hence conclusion II does not follow. All Circle are Square (A) + No Square is a Triangular (E) → No Circle is a Triangular (E) + [Some Parallel are Triangular (I) → Conversion] → Some Triangular are Parallel (I) → Some Parallel are not Circle. (O*). Hence conclusion III follows.
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