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Australian AMC 2013 - Intermediate Question 25

AMC AUSTRALIA · Australian AMC 2013 - Intermediate

Question 25

In 3013, King Warren of Australia is finally deposed. The five remaining earls argue about which one of them will be king, and which one of the others will be treasurer.

Akaroa will be satisfied only if Darlinghurst or Erina is treasurer.

Bairnsdale will be satisfied only if Claremont is treasurer.

Claremont will be satisfied only if Darlinghurst is either king or treasurer.

Darlinghurst will be satisfied only if Akaroa is either king or treasurer.

Erina will be satisfied only if Akaroa is not king.

It is not possible for all five to be satisfied, so in the end they appoint king and treasurer so that the other three earls are satisfied. Who becomes king?
  1. Akaroa
  2. Bairnsdale
  3. Claremont
  4. Darlinghurst
  5. Erina