All hammers are tools. Some tools are useless things. All useless things are trash. Which of the following conclusions is NECESSARILY TRUE given only the information above? CONCLUSIONS: I. Some hammers are trash II. Some tools are trash III. All useless things are tools.
All hammers are tools. Some tools are useless things. All useless things are trash. Which of the following conclusions is NECESSARILY TRUE given only the information above? CONCLUSIONS: I. Some hammers are trash II. Some tools are trash III. All useless things are tools.
Explanation
Based on the statements:
- Since some tools are useless things and all useless things are trash, it follows that some tools must be trash.
- Conclusion I cannot be confirmed as we do not know if any hammers fall into the category of tools that are trash.
- Conclusion III is false because not all useless things are tools.
Thus, only II is necessarily true.