The correct answer is option 4, Tamil Nadu. Tamil Nadu is the state that has more than two major ports. A major port refers to a port that is significant in terms of size, infrastructure, and handling of cargo. While other states like Maharashtra, West Bengal, and Odisha also have major ports, Tamil Nadu has more than two of them.

It is important to note that Maharashtra, which is option 1, is also a state with major ports like Mumbai Port and Jawaharlal Nehru Port Trust. Similarly, West Bengal (option 2) has Haldia Port and Kolkata Port, and Odisha (option 3) has Paradip Port. However, these states do not have more than two major ports, unlike Tamil Nadu.

Therefore, the correct answer is option 4, Tamil Nadu, as it is the only state among the given options that has more than two major ports.