Option 1 states that minorities in India have the right to establish and administer educational institutions of their choice. This statement is correct. According to Article 30 of the Constitution of India, minorities, whether based on religion or language, have the right to establish and administer their educational institutions. This means that minority communities can create and manage schools and colleges that cater to their specific cultural, religious, or linguistic requirements. This provision ensures that minority communities in India are able to preserve and promote their unique identity and traditions through education.

Option 2 is incorrect because Article 30 does not only pertain to linguistic, ethnic, and religious minorities. It applies to all minorities, regardless of the reason for their minority status.

Option 3 is partially correct. While every religious denomination does have the right to establish and maintain institutions for religious and charitable purposes, this right is not unfettered. The Constitution allows for reasonable regulations to be imposed on these institutions to ensure public order, morality, and health.

Option 4 is incorrect. The minority status of an educational institution does not change if it receives financial aid from the government. The Constitution protects the autonomy and identity of these institutions, even if they receive financial support from the government.

In conclusion, option 1 is the correct statement as