Kiribati
Capital of: Tarawa
Tarawa is correct because Kiribati’s seat of government is on South Tarawa, a string of islets joined by causeways on the Tarawa Atoll. Key government functions are spread across these islets, but the capital is the atoll itself. Bairiki and Betio are individual islets/towns within Tarawa (Bairiki historically housed many offices; Betio is the main port), while Kiritimati (Christmas Island) is a distant atoll in the Line Islands and not the capital.
Memory tip: Think “Tarawa ties it all together”—it’s the atoll that includes places like Bairiki and Betio. Also recall the famous WWII Battle of Tarawa on Betio to anchor the name.