As an asian, this has been my experience as well. Of course there are exceptions, but most asians I know (not just in my country) usually just speak 2 languages.
But which part of Asia are you from? Here in India, schools are required (at least on paper) to teach three languages, so most people are at least trilingual.
Sanskrit is still spoken in some parts of Karnataka state. Also, only some schools run by the federal government teach Sanskrit. Usually it is (1) the official language of the state, (2) English and (3) Hindi. (If Hindi is the official language of the state, then any other Indian language, or a foreigh language, would be offered. For historical reasons most schools in Tamil Nadu state do not offer Hindi, but will have another third language such as French.)
