Question

Statements:
I. Some cats are dogs.
II. No dog is a toy.
Conclusions:
I. Some dogs are cats.
II. Some toys are cats.
III. Some cats are not toys.
IV. All toys are cats.

• A. Only Conclusions I and either II or III.
• B. Only Conclusions II and III follow.
• C. Only Conclusions I and II follow.
• D. Only Conclusion I follows.

Hint:

Use Venn diagrams to verify syllogistic reasoning conclusions.

Answer 1

The Correct Option is A

Step 1: Understanding the given statements.
- Some cats are dogs → Partial overlap between Cats and Dogs.
- No dog is a toy → No intersection between Dogs and Toys.
Step 2: Checking conclusions.
- Conclusion I: Some dogs are cats → True, directly given.
- Conclusion II: Some toys are cats → Not necessarily true, not given in statements.
- Conclusion III: Some cats are not toys → True by possibility, as some cats might not be toys.
- Conclusion IV: All toys are cats → False, as no relation is established.
Thus, the correct answer is (A) Only Conclusions I and either II or III.