Name The Year: Bavaria proclaims itself a republic.?

Questions

Trivia : Who anonymously entered a contest in Monaco to find his lookalike and came third?

Trivia : What is a fly agaric?

Trivia : What year was the car seat belt first patented?

Trivia : Which Beatles song is the most recorded song of all time?

Trivia : What sort of establishment is the setting for the movie "The China Syndrome"?