Which statement about the years between the end of world war ii and the beginning of the korean war is not true?

the united states administered south korea.
the korean peninsula was caught in a cold war struggle.
u. s. troops left south korea in 1949.
china administered north korea.

The Korean Peninsula was caught in a Cold War struggle.

Explanation:

As a product of the cold war, the united states and soviet union divided the Korean peninsula into sovereign states and the formation of a new south Korea in 1948 a socialist state and in 1949, the USSR and the US troops withdrew from the country.  And the new war started in 1950 between the china supported North Korea and the American supported South Korea.