The Brahmani is a major seasonal river in the Odisha state of eastern India.
The Brahmani is formed by the confluence of the Sankh and South Koel rivers near Rourkela. Hence, 1 is not correct.
Together with the river Baitarani, it forms a large delta before emptying into the Bay of Bengal at Dhamra.
Nagavali:
The River Nagavali is also known as Langulya is one of the main rivers of Southern Odisha and Northern Andhra Pradesh States in India, between Rushikulya and Godavari basins.
Nagavali River originates in Kalahandi District, in eastern Ghats. Hence, 2 is correct.
Subarnarekha:
​The Subarnarekha originates from the Ranchi Plateau in Jharkhand forming the boundary between West Bengal and Odisha in its lower course. Hence, 3 is not correct.
It joins the Bay of Bengal forming an estuary between the Ganga and Mahanadi deltas. Its total length is 395 km.
Vamsadhara:
​It is an east-flowing river that originates in the Kalahandi district of Odisha, Eastern Ghat, flows in Odisha, along its boundary with Andhra Pradesh and finally joins the Bay of Bengal at Kalingapatnam, Andhra Pradesh. Hence, 4 is correct.
It is the main river of the north-eastern Andhra region and the Boddepalli Rajagopala Rao Project was constructed on it to meet the irrigation needs of the region.