SQL query, am I wrong somewhere?

Question

I am trying to pull distinct City names and only one zipcode for any given City.

zip city    state
00603   AGUADILLA   PR
00604   AGUADILLA   PR
00605   AGUADILLA   PR

Query:

SELECT DISTINCT (city),(zip) 
  FROM zips 
 WHERE state = 'PR'

I tried group by clause as well, let me know where am I wrong here.

Answer 1

SELECT city, max(zip) from zips where state='PR' group by city, state

Answer 2

select city, max(zip)
from zips
where state='PR'
group by city