Question

Statement: All engineers are good at math.
Conclusion 1: Some people good at math are engineers.
Conclusion 2: All people good at math are engineers.
Which conclusion follows?

• A. Only Conclusion 1 follows
• B. Only Conclusion 2 follows
• C. Both Conclusions follow
• D. Neither follows

Hint:

In logical reasoning, ensure that conclusions are directly supported by the given statement without making additional assumptions.

Answer 1

The Correct Option is A

Step 1: Analyze the given statement and conclusions. 
The statement says that "All engineers are good at math." This implies that every engineer is a part of the group of people who are good at math. 
- Conclusion 1: Some people good at math are engineers. This follows because the statement tells us that all engineers are good at math, but not all people who are good at math must be engineers. Therefore, some people who are good at math could be engineers. 

- Conclusion 2: All people good at math are engineers. This does not follow because the statement only specifies that all engineers are good at math, but it does not claim that all people who are good at math are engineers.

Step 2: Conclusion. 
Thus, only Conclusion 1 follows. The correct answer is (a).