Question
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 conclusions logically follow(s) from the statements. Statements: All lines are circle. All circle are triangles. Some squares are triangles. Conclusions: I. Some triangles are lines. II. Some squares are circle. III. All circle are lines.Solution
All lines are circle (A) + All circle are triangles (A) → All lines are triangles (A) → Conversion → Some triangles are lines. (I). Hence conclusion I follows. Some squares are triangles (I) + [All circle are triangles (A) → Conversion] → Some triangles are circle (I) → No conclusion. Hence conclusion II does not follow. All lines are circle (A) → Conversion → Some circle are lines. (I). Hence conclusion III does not follow.
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