The correct answer is Malayalam.
Lakshadweep is a group of islands in the Arabian Sea and is a Union Territory of India.
The majority of its population has close cultural and historical ties with the state of Kerala.
Because of this connection, Malayalam is the main language spoken by the people of Lakshadweep.
Some islands also use a local dialect called Jeseri, which is closely related to Malayalam.
Hindi and English are used for official and administrative work along with the local language.