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 Hills are Mountains. Some Road are Rivers. No Hill is River. Conclusion: I. No Mountain is River. II. No Hill is Road. III. Some Mountains are Hills.Solution
All Hills are Mountains (A) → Conversion → Some Mountains are Hills (I) + No Hill is River (E) → Some Mountains are not Rivers (O). Hence conclusion I does not follow. No Hill is River (E) + Some Rivers are Road (I) → Some Road are not Hills (O*). Hence conclusion II does not follow. All Hills are Mountains (A) → Conversion → Some Mountains are Hills (I). Hence conclusion III follows.
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