Explanation:

Statement 1: An administrator of a union territory is an agent of the President and not head of state like a governor. The President can specify the designation of an administrator; it may be Lieutenant Governor or Chief Commissioner or Administrator.

Statement 2: The Union Territories of Puducherry (in 1963) and Delhi (in 1992) are provided with a legislative assembly and a council of ministers headed by a chief minister. The remaining five union territories do not have such popular political institutions.

Statement 3: But, the establishment of such institutions in the union territories does not diminish the supreme control of the president and Parliament over them. The Parliament can make laws on any subject of the three lists (including the State List) for the union territories. This power of Parliament also extends to Puducherry and Delhi, which have their own local legislatures. This power remains unaffected even after establishing a local legislature for them. But, the legislative assembly of Puducherry can also make laws on any subject of the State List and the Concurrent List. Similarly, the legislative assembly of Delhi can make laws on any subject of the State List (except public order, police and land) and the Concurrent List.