Final answer:
South Dakota and Nebraska have areas that are part of both the Central and Mountain Time Zones. Kansas and Texas are fully within the Central Time Zone.
Step-by-step explanation:
The states that have areas that are part of both the Central and Mountain Time Zones are South Dakota and Nebraska. These states are located in the middle of the continental United States and have areas that are at the boundary of the two time zones. Kansas and Texas are fully within the Central Time Zone.