If the statement 'All women are honest' is given as true, which of the following propositions can be inferred from it?
(A) 'No women is honest' is false.
(B) 'Some women are honest' is true.
(C) 'No women is honest' is undetermined.
(D) 'Some women are not honest' is false.
Choose the correct answer from the options given below:

Correct option is A

The proposition "All women are honest" is a universal affirmative (A-type) statement. From this, the following inferences can be made:
· A: "No women is honest" is the exact opposite of the given statement, so it is false.
· B: "Some women are honest" must be true because if all women are honest, then at least some women are honest.
· D: "Some women are not honest" is the negation of the given universal affirmative, making it false.
Information Booster:
A: "No women is honest" is the direct negation of the given proposition, making it false.
B: "Some women are honest" is true since a universal affirmative always implies a particular affirmative.
C: "No women is honest" is not undetermined; it is false.
D: "Some women are not honest" is the negation of the given universal statement, making it false.