Correct Option
Statement 1 is correct. The Governor of Punjab concurrently serves as the Administrator of Chandigarh. This administrative arrangement has been in place since 1985, reflecting Chandigarh's status as a Union Territory and its role as the joint capital for both Punjab and Haryana.
Statement 2 is incorrect. Lakshadweep is administered by a separate Administrator, who is directly appointed by the President of India. The Governor of Kerala does not hold any constitutional or administrative responsibility for the Union Territory of Lakshadweep.
Incorrect Options
Option 2 is incorrect because Statement 2 is false, as the Governor of Kerala does not administer Lakshadweep.
Option 3 is incorrect because Statement 2 is false, making the assertion that both statements are correct invalid.
Option 4 is incorrect because Statement 1 is true, indicating that at least one statement is correct.