Read the following premises carefully:
Premise 1: All agricultural engineers are problem solvers.
Premise 2: Some problem solvers are computer programmers.
Which of the following conclusions logically and definitively follow from the given premises?
Options:
(A) Some agricultural engineers may be computer programmers
(B) All computer programmers are agricultural engineers
(C) No agricultural engineer is a computer programmer
(D) A person who is not a problem solver cannot be an agricultural engineer
Answer Key:
A, D
Step-by-Step Solution & Explanation
Syllogistic Analysis:
- $A \subseteq S$ and $S \cap P \ne \emptyset$.
- Conclusion A ('may be') is possible/valid.
- Conclusion D (Contrapositive: $\neg S \implies \neg A$) is strictly valid.
Correct conclusions: **A, D**.