Kathy owns more cats than Alice and more dogs than Bruce. Alice owns more dogs than Kathy and fewer cats than Bruce. Which of the statements must be true?

(A) Bruce owns the fewest cats.

(B) Bruce owns the most cats.

(C) Kathy owns the most cats.

(D) Alice owns the most dogs.

(E) Kathy owns the fewest dogs.
We begin by separating the given information, as follows:

- Kathy owns more cats than Alice
- Kathy owns more dogs than Bruce
- Alice owns more dogs than Kathy
- Bruce owns more cats than Alice

From bullets 2 and 3, we can conclude that Alice owns more dogs than both Kathy and Bruce. From bullet 4, we can conclude that answer (A) is not true.

From bullets 1 and 4, we can conclude that both Kathy and Bruce own more cats than Alice. However, we cannot determine if Kathy owns more cats than Bruce, or vice versa.

Therefore, we cannot conclude that (B) or (C) must be true.

From bullet 2, we can conclude that (E) is not true.

Thus the statement which must be true is (D).

ANSWER: (D)