You really pick truly obscure ones, don't you wantok bilong mi
I did a little search in the library and found a slim descriptive grammar. From what I saw there, Dhivehi is rather a typical Indo-Aryan language. I don't know how much of this would be intelligible to Northern Indians, but I remember a Hindi speaker (sage) saying Sinhala was somewhat intelligible at least in its transcribed Roman form.
Another thing I noticed about Thaana is that its letters correspond rather well with Arabic, it even has an equivalent of ayn, which is kind of unusual in Indian languages. My guess is that it's due to the trade and the influence from Arabic. It even writes right to left, again unusual for Indian languages. The more ancient variant of the script, Dhives Akuru, bears some strong resemblences with the South Indian scripts (e.g. Sinhala) but Thaana really doesn't.
Now ego, get back to Tongan *kicks his arse*