Question

Choose the set in which the third statement can be deduced from the first two statements together.

• A. B-E-A
• B. E-C-F
• C. C-E-A
• D. F-B-D
• E. D-E-A

Hint:

For syllogisms, use the chain rule: if All A$\to$B and All B$\to$C, then All A$\to$C. Check if the third statement follows directly from the first two using standard syllogism patterns.

Answer 1

Answer: (E)

Step 1: Understanding the Concept:
This is a syllogism question. The third statement must be a valid logical deduction from the first two.

Step 2: Detailed Explanation:
Option (E): D = All honest persons are obese; E = All obese persons are good natured; Conclusion: All honest persons are good natured = A. Syllogism: All H $\to$ O (D); All O $\to$ G (E); $\therefore$ All H $\to$ G = A $\checkmark$. Valid deduction.

Step 3: Final Answer:
The answer is D-E-A.