Given the statements:

- 23% Hockey is Tennis.
- All Tennis is Golf.
- Some Cricket is Golf.

Consider the conclusions:

I. Some Cricket are not Hockey.

II. All Golf being Cricket is a possibility.

Which of the conclusions logically follow from the statements?

Question

Given the statements:

- 23% Hockey is Tennis.
- All Tennis is Golf.
- Some Cricket is Golf.

Consider the conclusions:

I. Some Cricket are not Hockey.

II. All Golf being Cricket is a possibility.

Which of the conclusions logically follow from the statements?

Accepted Answer

**Solution:**

1. From the statements:
   - "23% Hockey is Tennis" means some part of Hockey overlaps with Tennis.
   - "All Tennis is Golf" means Tennis is a subset of Golf.
   - "Some Cricket is Golf" means there is some overlap between Cricket and Golf.

2. Analyze Conclusion I: "Some Cricket are not Hockey"
   - The statements do not provide any direct relationship between Cricket and Hockey.
   - Since there is no information about Cricket and Hockey's overlap or exclusion, we cannot definitively conclude this.

3. Analyze Conclusion II: "All Golf being Cricket is a possibility"
   - Since some Cricket is Golf, it is possible that all Golf could be Cricket (no contradiction).
   - Hence, this conclusion is logically possible.

**Answer:** Only Conclusion II follows.

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