Step 1: Understanding the Question:
The question tests geographic knowledge regarding the Teesta River, its status as an international waterway, and the countries it flows through.
Detailed Explanation:
• Analysis of Statement I: A transboundary river is one that crosses at least one political border, either within a nation or an international border. The Teesta originates in the Himalayas in Sikkim (India) and flows into Bangladesh, where it eventually joins the Brahmaputra (Jamuna). Thus, it is an international transboundary river. Statement I is true.
• Analysis of Statement II: The Teesta River flows from the Pahunri (or Teesta Kangse) glacier in Sikkim, through the state of West Bengal, and then enters Bangladesh. While its catchment area is adjacent to the eastern border of Nepal, the main course of the river does not enter or flow through Nepal. Statement II is false.
• Context: The sharing of Teesta's water is a major diplomatic point of discussion between India and Bangladesh. It is often referred to as the lifeline of Sikkim and North Bengal.
Step 2: Final Answer:
Statement I is correct because the river flows between India and Bangladesh. Statement II is incorrect because it does not flow through Nepal.