Between 1227 and 1259 the Mongol rulers succeeded in capturing Iran and Korea.
- The Mongol Empire became powerful as they kept expanding their empire in Asia and Europe.
- The Mongol conquest in Iran happened during the Khwarazmian Empire when Shah Muhammad II broke the treaty with the Mongols.
- The Mongol conquest in Korea happened with several campaigns between 1231 to 1270.
- The Mongol fought against the Goryeo dynasty in Korea.
Therefore we can conclude that Iran and Korea we conquered by Mongols between 1227 and 1259.
Thus option Iran and Korea are the correct answer.
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