The correct answer is:
First Mayor
Erster Bürgermeister / Erste Bürgermeisterin
Independent study resource, not a BAMF website. Translations are study aids; the exam is in German.
Quick explanation
The head of government of Hamburg is called Erster Bürgermeister / Erste Bürgermeisterin.
Why is this correct?
In city states the state government is called the Senate; it is headed by a mayor with a special title.
Background
Because the city and the state are one in a city state, the mayor is also head of the state government. The First Mayor heads the Hamburg Senate and represents the state, for example in the Bundesrat. He or she is elected by the state parliament (Bürgerschaft (state parliament)). The three city states use different titles: in Berlin the office is called Governing Mayor, in Hamburg First Mayor and in Bremen President of the Senate.
Why are the other answers wrong?
The other titles do not fit Hamburg: Minister-President is the title in the territorial states, and the other titles belong to the other city states or do not exist in this form.
Memory tip
Berlin: Governing Mayor; Hamburg: First Mayor; Bremen: President of the Senate.
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