Which of the following is correct in the context of syllogism?

A) With two negative premise, affirmative conclusion can be drawn
B) Predicate of the conclusion is the minor term.
C) Middle term must be distributed at least once in the premises
D) With two universal premises, particular conclusion can be drawn
E) The term distributed in the conclusion must be distributed in the premises.

Choose the most appropriate answer from the options given below.

The correct option is C and E Only.

Let us analyze each statement in the context of standard rules for categorical syllogisms to understand why statements C and E are correct, while others are incorrect:

Statement A: With two negative premises, an affirmative conclusion can be drawn.
According to the rules of syllogism, no conclusion (neither affirmative nor negative) can be drawn from two negative premises. This is known as the fallacy of exclusive premises. Therefore, Statement A is incorrect.

Statement B: Predicate of the conclusion is the minor term.
In a standard categorical syllogism, the predicate of the conclusion is defined as the major term, while the subject of the conclusion is the minor term. Therefore, Statement B is incorrect.

Statement C: Middle term must be distributed at least once in the premises.
This is one of the primary rules of syllogism. The middle term (the term that appears in both premises but not in the conclusion) must be distributed in at least one premise. If it is not distributed in either premise, the syllogism commits the fallacy of the undistributed middle. Thus, Statement C is correct.

Statement D: With two universal premises, a particular conclusion can be drawn.
In modern (Boolean) logic, drawing a particular conclusion (which implies existential import) from two universal premises (which do not imply existential import) is invalid and commits the existential fallacy. Therefore, Statement D is incorrect.

Statement E: The term distributed in the conclusion must be distributed in the premises.
According to the rules of distribution, any term that is distributed in the conclusion must also be distributed in the premise in which it occurs. Violating this rule leads to the fallacy of the illicit major (if the major term is illegally distributed) or the fallacy of the illicit minor (if the minor term is illegally distributed). Thus, Statement E is correct.

Since only statements C and E are valid rules of syllogism, the correct answer is indeed C and E Only.