Question
In the question below there are some statements
followed by some conclusions. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions definitely follows from the three statements disregarding commonly known facts. Statements: Only a few Hill is Mountains. All Valleys are Mountains. No Valley is a Water. Conclusions: I. Some Valleys can be Hills. II. Some Mountains can be Water. III. Some Water are not Hills.Solution
Only a few Hill is Mountains (I) + [All Valleys are Mountains (A) β Conversion] β Some Mountains are Valleys (I) β Probable conclusion β Some Valleys can be Hills (I). Hence conclusion I follows but conclusion III does not follow. All Valleys are Mountains (A) β Conversion β Some Mountains are Valleys (I) + No Valley is a Water (E) β Some Mountains are not Water (O) β Probable conclusion β Some Mountains can be Water (I). Hence conclusion II follows.
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...