Question

Statement: All apples are fruits. Some fruits are bananas.
Conclusion I: All apples are bananas.
Conclusion II: Some fruits are not bananas.
Choose the correct option:

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

Hint:

In syllogisms, only draw conclusions that are logically necessary based on the given statements. Avoid assumptions beyond what's directly stated.

Answer 1

The Correct Option is C

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

1. Understanding the Concepts:

- Statements: Known facts or premises.
- Conclusions: Inferences drawn from the statements.
- Use logic and set theory to evaluate if the conclusions necessarily follow.

2. Given Statements:

- All apples are fruits.
- Some fruits are bananas.

3. Evaluate the Conclusions:

- Conclusion I: All apples are bananas.
Since all apples are fruits, but only some fruits are bananas, this does not imply all apples are bananas. So, Conclusion I does not follow.

- Conclusion II: Some fruits are not bananas.
Since only some fruits are bananas, the rest of the fruits are not bananas. Therefore, Conclusion II follows.

Final Answer:

Only Conclusion II follows, so the correct option is C.