Where can I get challenging exercises for Naive Set Theory by Halmos?

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There is a book by L. E. Sigler, Exercises in Set Theory, that is explicitly designed to follow Halmos. The exercises range from the routine to some that are more challenging. If this is too easy for you, then I recommend checking out Komjáth & Totik's Problems and Theorems in Classical Set Theory, which is considerably more challenging. Both books contain answers to the exercises.