Problem

2019 Gauss 8 Problem 18

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?

\textbf{(A)} Bruce owns the fewest cats. \textbf{(B)} Bruce owns the most cats. \textbf{(C)} Kathy owns the most cats. \textbf{(D)} Alice owns the most dogs. \textbf{(E)} Kathy owns the fewest dogs.

If there are no answer choices shown, enter a numerical answer.


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