Consider the following statements:

- Only a few *U* is *K*.
- No *K* is *I*.
- Each *I* is *R*.

Based on these statements, determine which of the following conclusions logically follow:

I. Some *R* is not *K*.

II. All *U* can be *I*.

Question

Consider the following statements:

- Only a few *U* is *K*.
- No *K* is *I*.
- Each *I* is *R*.

Based on these statements, determine which of the following conclusions logically follow:

I. Some *R* is not *K*.

II. All *U* can be *I*.

Accepted Answer

**Solution:**

1. From the statements, we know:
   - Only a few *U* are *K*.
   - No *K* is *I*.
   - Every *I* is *R*.

2. Analyze Conclusion I: "Some *R* is not *K*."
   - Since all *I* are *R* and no *K* is *I*, the subset of *R* that corresponds to *I* cannot overlap with *K*.
   - Therefore, there exists some part of *R* (specifically those that are *I*) which is definitely not *K*.
   - Hence, Conclusion I logically follows.

3. Analyze Conclusion II: "All *U* can be *I*."
   - Given that only a few *U* are *K* and no *K* is *I*, it is impossible for all *U* to be *I* because some *U* are *K* and *K* and *I* do not overlap.
   - Thus, Conclusion II does not follow.

**Answer:** If only conclusion I follows.

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