Three statements are given: (1) All necklaces are squares. (2) Some squares are circles. (3) No circle is a ring. Based on these, determine which conclusions logically follow: I. No square is a ring. II. No ring is a circle. III. Some squares are necklaces.

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Let's analyze each conclusion based on the statements:

Statements:
1. All necklaces are squares.
2. Some squares are circles.
3. No circle is a ring.

Conclusion I: No square is a ring.
- From statement 2, some squares are circles.
- From statement 3, no circle is a ring.
- However, some squares might not be circles, so it is possible that some squares could be rings.
- Therefore, conclusion I does NOT necessarily follow.

Conclusion II: No ring is a circle.
- Statement 3 explicitly says no circle is a ring, which is logically equivalent to no ring is a circle.
- Therefore, conclusion II follows.

Conclusion III: Some squares are necklaces.
- Statement 1 says all necklaces are squares, so necklaces are a subset of squares.
- Hence, some squares (at least those that are necklaces) exist.
- Therefore, conclusion III follows.

Hence, only conclusions II and III follow.

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