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Statements: All circles are triangles. Some triangles are rectangles. All rectangles are squares. Conclusions: I. Some triangles are not rectangles. II. No square is a circle.

1. if only conclusion I follows.
2. if only conclusion II follows.
3. if either conclusion I or II follows.
4. if neither conclusion I nor II follows.

Correct answer: if neither conclusion I nor II follows.

Solution

From 'some triangles are rectangles,' we cannot conclude that some triangles are not rectangles. Also, 'all circles are triangles' and 'all rectangles are squares' do not imply that no square is a circle. Hence neither conclusion follows.

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