The Barak River originates in the hills of:

The correct answer is: Manipur.

The Barak River is a river in northeastern India. It is the largest tributary of the Brahmaputra River. The Barak River originates in the hills of Manipur and flows through the states of Assam and Mizoram. It joins the Brahmaputra River near Karimganj in Assam. The Barak River is a major source of irrigation and drinking water for the people of the region. It is also a popular destination for fishing and boating.

The other options are incorrect because:

• Nagaland is a state in northeastern India. It is located to the north of Manipur. The Barak River does not originate in Nagaland.
• Assam is a state in northeastern India. It is located to the south of Manipur. The Barak River flows through Assam.
• Mizoram is a state in northeastern India. It is located to the south of Assam. The Barak River flows through Mizoram.