Identify the correct option regarding the Statements and Conclusions given:
Statements:
I. All pets are dogs.
II. All dogs are cats.
Conclusions:
I. All pets are cats.
II. All cats are pets.
- AOnly Conclusion I follows.
- BOnly Conclusion II follows.
- CNeither Conclusion I nor Conclusion II follows.
- DBoth Conclusion I and Conclusion II follow.
Solution & Step-by-step Explanation
Based on the given statements, we can deduce using Venn diagrams:
* "All pets are dogs" implies .
* "All dogs are cats" implies .
Combining them gives , which means (All pets are cats). Thus, Conclusion I follows.
However, is not necessarily true. Thus, Conclusion II does not follow.
* "All pets are dogs" implies .
* "All dogs are cats" implies .
Combining them gives , which means (All pets are cats). Thus, Conclusion I follows.
However, is not necessarily true. Thus, Conclusion II does not follow.