Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
All classes are tools. Some tools are nails. No nail is a class.
Conclusions:
(I) Some classes are nails.
(II) All tools are classes.
(III) Some nails are tools.

Correct option is C

Conclusion I: Some classes are nails.

According to the third statement, No nail is a class, which directly contradicts this conclusion. Therefore, Conclusion I does not logically follow.

Conclusion II: All tools are classes.

The first statement says, All classes are tools. However, it does not imply that all tools are classes. It only indicates that the entire set of classes is a subset of tools, but the reverse isn't necessarily true. Therefore, Conclusion II does not logically follow.

Conclusion III: Some nails are tools.

According to the second statement, Some tools are nails. This implies that there is an overlap between tools and nails, meaning some nails are indeed tools. Therefore, Conclusion III logically follows.

Final Answer:

Only Conclusion III logically follows from the given statements.

Venn diagram: