Where is the Atal Bihari Vajpayee Institute of Mountaineering and Allied Sports situated?

The correct answer is Manali, Himachal Pradesh.

Step-by-step Explanation:
1. Identify the Institution: The Atal Bihari Vajpayee Institute of Mountaineering and Allied Sports (ABVIMAS) is a premier national institute in India dedicated to training individuals in mountaineering, skiing, water sports, and other adventure activities.
2. Determine the Location: ABVIMAS is located in the picturesque town of Manali in the Kullu district of Himachal Pradesh. It was established in 1961 by the government of Himachal Pradesh to promote adventure tourism and training.
3. Eliminate Other Options:
- Uttar Kashi, Uttarakhand is home to the Nehru Institute of Mountaineering (NIM).
- Pahalgam, Jammu and Kashmir is home to the Jawahar Institute of Mountaineering and Winter Sports (JIM&WS).
- Darjeeling, West Bengal is home to the Himalayan Mountaineering Institute (HMI).
Therefore, the ABVIMAS is located in Manali, Himachal Pradesh.