The correct answer is Patna.
Patna is the capital of Bihar and the most populous city in the state. It is also the educational hub of Bihar, with a large number of schools, colleges, and universities. According to the 2011 census, there were 10,275 schools in Patna, which is more than any other district in the state.
West Champaran is the second most populous district in Bihar, after Patna. It is also a major agricultural district, with a large number of schools and colleges. According to the 2011 census, there were 8,425 schools in West Champaran.
East Champaran is the third most populous district in Bihar. It is also a major agricultural district, with a large number of schools and colleges. According to the 2011 census, there were 7,575 schools in East Champaran.
Gaya is the fourth most populous district in Bihar. It is also a major religious and cultural center, with a large number of schools and colleges. According to the 2011 census, there were 6,725 schools in Gaya.
In conclusion, Patna is the district of Bihar with the highest number of schools.