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xkcd #2922: Pub Trivia
(imgs.xkcd.com)
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...is the second largest city in Australia. But also has an inflated sense of self-importance.
;)
It was also the capital before Canberra, so I guess it gets to be the other one after Canberra?
Only Melbourne was previously the official capital of the federated colonies which became the Commonwealth of Australia. Sydney was, and still is, the capital of NSW - but was never the capital of the country.