Crossword Genius

Periodical printed in Bavaria and used in state exam (6,5)

Ross

I believe the answer is:

sunday paper

I'm a little stuck... Click here to teach me more about this clue!

'periodical printed in bavaria and used' is the definition.
I know nothing about this answer so I can't tell whether this works.

'state exam' is the wordplay.
'state' becomes 'sunday' (I can't justify this - if you can you should believe this answer much more).
'exam' becomes 'paper'.
'sunday'+'paper'='SUNDAY PAPER'

'in' is the link.

Can you help me to learn more?

I've seen this clue in The Sunday Times and The Times.
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