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Question

Statements: Some houses are offices. Some offices are schools.
Conclusions:
I. Some schools are houses.
II. Some offices are houses.
III. No house is school.
IV. Some schools are offices.

A
Only II and III follow
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B
Only I and IV follow
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C
Only either III or IV, and I follow
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D
Only II and IV and either I or III follow.
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Solution

The correct option is C Only II and IV and either I or III follow.
Since both the premises are particular, no definite conclusion follows. However, I and III involve only the extreme terms and form a complementary pair. So, either I or III follows. II is the converse of the first premise while IV is the converse of the second premise. Thus, both of them hold.

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