What is the official name of China?

South Korea and Japan both have what type of economy?

Check this site for China's official name.

https://www.cia.gov/library/publications/the-world-factbook/geos/ch.html#Govt

South Korea and Japan both have free-market and capitalistic economies.

The official name of China is the People's Republic of China.

To find out the official name of a country, you can simply do an internet search using the name of the country and the word "official name." This will generally provide you with the most accurate and up-to-date information.

As for South Korea and Japan, both countries have mixed-market economies.

To determine the type of economy a country has, you can search for information on the country's economic system, or specifically look for its economic indicators, such as the presence of government intervention, the role of private enterprise, or the involvement of state-owned enterprises. Many reliable sources, such as government websites, economic reports, and reputable news organizations, provide information on a country's economic system.