Question

Statements:
All cats are dogs.
Some dogs are birds.
Conclusions:
I. Some cats are birds.
II. Some dogs are cats.
Which conclusions follow?

• A. Only I follows
• B. Only II follows
• C. Both I and II follow
• D. Neither I nor II follows

Hint:

For syllogism problems, draw Venn diagrams to visualize set relationships. Test each conclusion by checking if it must be true in all possible diagrams. “All A are B” implies some B are A if A exists, but “some B are C” does not guarantee some A are C unless explicitly stated. Evaluate each conclusion independently.

Answer 1

The Correct Option is B

To solve the problem, we need to analyze the given statements and determine which conclusions logically follow.

1. Understanding the Concepts:

- Statements: Known facts from which conclusions are derived.
- Conclusions: Logical inferences drawn from the statements.
- Use set theory and logic to evaluate the validity of the conclusions.

2. Given Statements:

- All cats are dogs.
- Some dogs are birds.

3. Evaluate the Conclusions:

- Conclusion I: Some cats are birds.
Since all cats are dogs and only some dogs are birds, we cannot conclude that some cats are birds. So, Conclusion I does not follow.

- Conclusion II: Some dogs are cats.
Since all cats are dogs, it means some dogs are indeed cats. So, Conclusion II follows.

Final Answer:

Only Conclusion II follows.