If the statement "All women are honest" is given as true, what could be immediately inferred from the following?
(A) 'No women are honest' is false
(B) 'Some women are not honest is true
(C) 'Some women are not honest' is false
(D) "Some women are honest' is true
Choose the correct answer from the options given below:

Correct option is C

If the statement "All women are honest" is true, the following can be logically inferred:
1. (A) 'No women are honest' is false: If all women are honest, it directly contradicts the assertion that no women are honest, making (A) true.
2. (C) 'Some women are not honest' is false: If all women are honest, the claim that some women are not honest cannot be true, hence (C) is correct.
3. (D) 'Some women are honest' is true: If all women are honest, then it logically follows that some women (a subset) are honest. This makes (D) true as well.
Information Booster 1. Immediate inference relies on logical consistency with the given proposition.
2. In categorical logic:
· "All women are honest" means no woman is dishonest.
· "Some women are not honest" must therefore be false.
· "Some women are honest" is implied because it is part of "all."
3. Contradictory statements like "No women are honest" or "Some women are not honest" are always false when "All women are honest" is true.
Additional knowledge:
(B) 'Some women are not honest' is true is incorrect because it contradicts the initial statement "All women are honest."