Which of the following does not require the use of information from census?

The option that does not require the use of information from a census is "Controlling geographical mobility of labour among the states or regions". This is because controlling geographical mobility of labour involves policies and regulations to restrict or encourage the movement of people between regions or states, and it does not necessarily require census data to be effective. The other options such as allocating central government revenue, planning for development, demarcating constituencies, and providing social amenities all require census data to accurately assess the population, demographics, and needs of the states or regions in question.