Question

"In order to be a teacher, one must graduate from college. All poets are poor. Some Mathematicians are poets. No college graduate is poor." 

Which of the following is true? 
 

• A. Some Mathematicians are not teachers.
• B. Poets are not teachers.
• C. Teachers are not poor.
• D. Some teachers are not Mathematicians.

Hint:

To solve logical reasoning problems, carefully examine the premises and deduce the conclusions by eliminating impossible options.

Answer 1

The Correct Option is D

We are given the following statements: 

1. "In order to be a teacher, one must graduate from college." 

2. "All poets are poor." 

3. "Some Mathematicians are poets." 

4. "No college graduate is poor." 

We need to determine the correct conclusion based on these premises. From the fourth statement, "No college graduate is poor," we can deduce that all teachers, being college graduates, must not be poor. This eliminates options (b) and (c). From the second and third statements, we know that some Mathematicians are poets, and all poets are poor. Therefore, some Mathematicians must be poor, and since teachers are not poor, it follows that some teachers are not Mathematicians. Thus, the correct answer is (d) "Some teachers are not Mathematicians."