The correct answer is option 1: "Schemes run under the National Rural Employment Guarantee Act are sponsored by the Central Government alone."

The National Rural Employment Guarantee Act (NREGA) is a social welfare scheme launched by the Indian government in 2005. It aims to provide rural employment opportunities to the people in rural areas of India.

Under this act, the responsibility for funding and implementing the schemes lies solely with the Central Government. The funds are allocated by the Central Government to the State Governments, who are then responsible for implementing the schemes at the local level. The State Governments are required to allocate a certain percentage of the funds received to the Panchayat bodies for the implementation of the schemes.

However, it is important to note that while the Central Government provides the funding for the schemes, the actual implementation and management of the schemes are carried out by the State Governments and Panchayat bodies. The Central Government plays a supervisory role to ensure that the schemes are implemented effectively and efficiently.

In conclusion, the schemes run under the National Rural Employment Guarantee Act are sponsored by the Central Government alone, with the State Governments and Panchayat bodies being responsible for the implementation of the schemes.