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Which of the following statements are logically equivalent? A. Some non-dogs are non-friendly animals B. Some dogs are friendly animals C. Some fri
Question



Which of the following statements are logically equivalent?
A. Some non-dogs are non-friendly animals B. Some dogs are friendly animals C. Some friendly animals are dogs D. All dogs are friendly animals
Choose the correct answer from the options given below:

A.

(B) and (C) only

B.

(B) and (D) only

C.

(A), (B) and (C) only

D.

(A) and (D) only

Correct option is A

The statements B and C are logically equivalent because they express the same relationship between dogs and friendly animals in different forms:
· Statement (B): "Some dogs are friendly animals" is a particular affirmative statement, meaning that at least one dog is a friendly animal.
· Statement (C): "Some friendly animals are dogs" is a rephrased form of statement (B) and implies the same relationship, but with the subject and predicate reversed.
Information Booster:
· Statement (A): "Some non-dogs are non-friendly animals": This is not equivalent to statements B or C, as it does not provide a direct relationship between dogs and friendly animals.
· Statement (D): "All dogs are friendly animals": This is a universal affirmative and does not logically match the particular affirmatives in statements B and C.
Additional Knowledge: · Logical equivalence means that statements convey the same meaning or truth value, even if phrased differently.
· Statements B and C are equivalent, as they both indicate that there is an overlap between the categories of dogs and friendly animals.

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