With reference to river Teesta, consider the following statements:

1. The source of river Teesta is the same as that of Brahmaputra but it flows through Sikkim.
2. River Rangeet originates in Sikkim and it is a tributary of river Teesta.
3. River Teesta flows into Bay of Bengal on the border of India and Bangladesh.

Which of the statements given above is/are correct?

Let's analyze each statement:

Statement 1: The Teesta River originates from the Pahunri glacier, while the Brahmaputra originates from the Angsi Glacier. Therefore, they do not have the same source. Statement 1 is incorrect.

Statement 2: The Rangeet River originates in Sikkim and is indeed a tributary of the Teesta River, the largest river in Sikkim. Statement 2 is correct.

Statement 3: The Teesta River flows through Sikkim and West Bengal before entering Bangladesh and eventually draining into the Brahmaputra River (Jamuna), and then into the Bay of Bengal. It does not flow into the Bay of Bengal on the border of India and Bangladesh. Statement 3 is incorrect.

Hence, only statement 2 is correct.

Sources:

• Wikipedia - Teesta River
• India-WRIS - Brahmaputra River
• Wikipedia - Rangeet River