Option 1: Balwant Rai Mehta Committee dealt with the subject of local self-government in India. This committee was appointed in 1957 to examine the working of the Community Development Program and the National Extension Service and to suggest measures for their better coordination and improvement. The committee`s report, known as the Balwant Rai Mehta Report, recommended the establishment of a three-tier Panchayati Raj System in India, which included gram panchayats at the village level, panchayat samitis at the block level, and zilla parishads at the district level. This report served as a landmark in the decentralization of power and decision-making to the grassroots level. It provided a framework for democratic self-governance at the local level and played a significant role in strengthening local governance in India.

Option 2: The Kothari Commission, also known as the Education Commission, was appointed in 1964 to examine the Indian education system and make recommendations for its improvement.

Option 3: There is no Veerappa Moily Committee that dealt with local self-government.

Option 4: There is no Venkatachalam Commission that dealt with local self-government.

In conclusion, the correct answer is option 1, Balwant Rai Mehta