Government schools in Sikkim are primarily run by:

The State Education Department
Private organizations
Religious institutions
International NGOs

The correct answer is: a) The State Education Department.

Government schools in Sikkim are primarily run by the State Education Department. The department is responsible for the overall management of government schools, including the appointment of teachers, the provision of textbooks and other teaching materials, and the maintenance of school buildings and facilities.

Private organizations, religious institutions, and international NGOs also run schools in Sikkim, but they account for a smaller proportion of the total number of schools.

Private schools are run by individuals or groups of individuals, and they are not subject to the same regulations as government schools. Religious institutions run schools that are based on their religious beliefs, and international NGOs run schools that are designed to provide education to children from disadvantaged backgrounds.

The State Education Department is responsible for the overall quality of education in Sikkim, and it sets standards for all schools, regardless of whether they are government-run or private. The department also provides funding to all schools, which helps to ensure that all children in Sikkim have access to a quality education.