If 'some men are vegetarians' is given as false. which of the following can be inferred to be true from it?
(A) All men are vegetarians.
(B) No men are vegetarians.
(C) Some men are not vegetarians.
(D) All non-vegetarians are men.
Choose the correct answer from the options given below:

Correct option is C

If the statement "Some men are vegetarians" is false, it implies that there are no men who are vegetarians. This means the correct logical inferences are:
1. (B) No men are vegetarians – This statement is true because the falsity of "some men are vegetarians" implies the complete absence of vegetarian men.
2. (C) Some men are not vegetarians – This statement is also true because if no men are vegetarians, it logically follows that all men are non-vegetarians, which supports this inference.
Information Booster: 1. Contradiction of ‘Some’ Statements:
· The negation of "Some men are vegetarians" is "No men are vegetarians."
2. Key Logical Terms:
· Some: Indicates at least one or more.
· No: Indicates none or zero.
3. Immediate Inferences:
· If "Some A are B" is false, then "No A are B" must be true.
Additional knowledge
(A) All men are vegetarians:
· This cannot be inferred because it contradicts the falsity of "some men are vegetarians."
(D) All non-vegetarians are men:
· This is incorrect because the statement provides no information about whether non-vegetarians can include women or other groups.