The correct answer is (a) Chamoli District.
Chhota Kailash is a mountain peak in the Garhwal Himalayas, India. It is located in the Chamoli District of Uttarakhand state. The peak is 6,200 meters (20,300 feet) high and is considered to be a sacred place by Hindus and Buddhists.
The mountain is named after Mount Kailash, which is located in Tibet. Mount Kailash is considered to be the holiest mountain in Hinduism and Buddhism. It is the abode of Lord Shiva and is believed to be the center of the universe.
Chhota Kailash is a popular pilgrimage destination for Hindus and Buddhists. The mountain is also a popular destination for trekking and mountaineering.
The other options are incorrect because:
(b) Pithoragarh District is located in the Kumaon Himalayas.
(c) Bageshwar District District is located in the Kumaon Himalayas.
(d) Uttarkashi District is located in the Garhwal Himalayas.