Explanation:

- Meghalaya: This state shares a boundary with Bangladesh. It is located to the north of Bangladesh and is known for its hilly terrain and rainforests.

- Manipur: This state does not share a boundary with Bangladesh. It is bordered by Myanmar to the east and Assam and Nagaland to the west and north, respectively.

- Tripura: This state shares a significant border with Bangladesh. It is almost entirely surrounded by Bangladesh on the north, west, and south.

- Assam: This state shares a border with Bangladesh through the Barak Valley, although the boundary is relatively small compared to other neighboring states.

Correct Answer: Manipur