Which Article of the Constitution mentions about establishing and maintaining institutions for religious and charitable purposes?

The correct answer is Article 26.

Article 26 of the Constitution of India guarantees the Freedom to manage religious affairs. Subject to public order, morality, and health, every religious denomination or any section thereof has the right:

(a) to establish and maintain institutions for religious and charitable purposes;
(b) to manage its own affairs in matters of religion;
(c) to own and acquire movable and immovable property; and
(d) to administer such property in accordance with law.

Overview of other options:

• Article 29: Protection of interests of minorities (right to conserve language, script, or culture).

• Article 30: Right of minorities to establish and administer educational institutions.

• Article 28: Freedom as to attendance at religious instruction or religious worship in certain educational institutions.