Jeppesen seem to think that India is in the Middle East (if you read the chart labels), but my geography books describe it as South Asia.
My guess -
(1) Mediterranean to Pakistan = Middle East,
(2) India and Bangladesh = South Asia,
(3) Bangladesh to Indonesia to Philippines to Vietnam = South-East Asia,
(4) East of Formosa (Taiwan) = Far East.
Yeah, yeah, I know, Lord Louis Mountbatten coined the term South-East Asia, he was no geographer, but the name kind of stuck.
Regards,
Old Smokey