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Two statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: No field is a house. All fields are parks. Conclusions: I. No house is a field. II. Some parks are fields. III. Some houses are fields

Two statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: No field is a house. All fields are parks. Conclusions: I. No house is a field. II. Some parks are fields. III. Some houses are fields Correct Answer Only conclusions I and II follow

The least possible Venn diagram for the given statements is as shown below :

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Conclusions:

I. No house is a field → True (As No field is a house so, No house is a field is definitely true)

II. Some parks are fields → True (As All fields are parks so, Some parks are fields is true)

III. Some houses are fields → False (As No field is a house so, No definite relation is given hence, it is definitely False).

Hence, the correct answer is "Only conclusions I and II follow".

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