Question
In each of the following question below are given some
statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statements: Some hotels are motels. All motels are restaurants. Some restaurants are rooms. Conclusions: I. Some hotels are rooms. II. Some motels are rooms. III. Some rooms are motels. IV. Some restaurants are hotels.Solution
Some hotels are motels (I) + All motels are restaurants (A) → Some hotels are restaurants (I) + Some restaurants are rooms (I) → No conclusion. Hence conclusion I does not follow. All motels are restaurants (A) + Some restaurants are rooms (I) → No conclusion. Hence neither conclusion II nor III follow. Some hotels are motels (I) + All motels are restaurants (A) → Some hotels are restaurants (I) → Conversion → Some restaurants are hotels (I). Hence conclusion IV follows.
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