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Given below are three logical statements: (A) If all Dogs are Cats, then some Dogs are Rats. (B) No Dog is a Cat, unless some

Given below are three logical statements: (A) If all Dogs are Cats, then some Dogs are Rats. (B) No Dog is a Cat, unless some Cats are Rats. (C) Only if some Cats are Rats, some Dogs are Rats. If all the above three statements are true, then which of the following need not be true? (1) All Cats are Rats (2) No Dog is Rat (3) All Dogs are Rats (4) All Dogs are Cats

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