Which of the following States/Union Territories were carved out in the Indian Union in the last 25 years?

The correct option is Telangana, Chhattisgarh, Ladakh.

To determine which States and Union Territories (UTs) were carved out in the Indian Union in the last 25 years (relative to the current era), let us examine the formation dates of the entities mentioned in the correct option:
1. Chhattisgarh: It was carved out of Madhya Pradesh on November 1, 2000.
2. Telangana: It was carved out of Andhra Pradesh on June 2, 2014, becoming the 29th state of India at that time.
3. Ladakh: It was established as a Union Territory on October 31, 2019, following the reorganization of the state of Jammu and Kashmir.

All three of these administrative regions were created within the last 25 years. In contrast, the other options contain states established much earlier, such as Madhya Pradesh (reorganized in 1956), Sikkim (became a state in 1975), Goa (became a state in 1987), and Arunachal Pradesh (became a state in 1987).