Question

If it is true that All men are honest and All politicians are men for which among the following is it impossible to follow from the given premises?

• A. Some politicians are not honest.
• B. All politicians are honest.
• C. One politicians is honest
• D. All honest persons are politicians

Answer 1

The correct option is A Some politicians are not honest.

Politician is a subset of Men and Men is a subset of Honest. Thus, the conclusions that can be drawn are: 1. All politicians are honest 2. At least one politician is honest.
All honest persons are politicians may or may not be true. Thus, option (d) is not a conclusion but a possibility. Therefore, options (b), (c) and (d) are negated. But some politicians are not honest is neither a conclusion nor a possibility. It does not follow from the given premises.