Question

Statements: No gentleman is poor. All gentlemen are rich.
Conclusions:
I. No poor man is rich.
II. No rich man is poor.

• A. Only conclusion I follows
• B. Only conclusion II follows
• C. Either I or II follows
• D. Neither I nor II follows
• E. Both I and II follow

Answer 1

The correct option is D Neither I nor II follows

The first premise is an E-type proposition, So, the middle term 'gentleman' forming the subject is distributed. The second premise is an A-type proposition. So, the middle term 'gentlemen' forming the subject is distributed. Since the middle term is distributed twice, the conclusion cannot be universal. Since one premise is negative, the conclusion must be negative. Thus, it follows that 'Some rich men are not poor'. Thus, neither I nor II follows.