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The correct arrangement of the urban agglomerations in descending order as per their population size according to Census 2011 is:
1. Mumbai
2. Delhi
3. Kolkata
4. Chennai
In option 1, the arrangement is Delhi - Mumbai - Kolkata - Chennai. This is not the correct order because Mumbai has the highest population according to Census 2011, followed by Delhi. Kolkata and Chennai have the third and fourth highest populations respectively.
In option 2, the arrangement is Mumbai - Delhi - Kolkata - Chennai. This is the correct order because Mumbai has the highest population, followed by Delhi. Kolkata and Chennai have the third and fourth highest populations respectively, which matches the correct arrangement.
In option 3, the arrangement is Mumbai - Kolkata - Delhi - Chennai. This is not the correct order because Delhi should be the second highest population, not Kolkata.
In option 4, the arrangement is Kolkata - Chennai - Mumbai - Delhi. This is not the correct order because Mumbai should have the highest population, followed by Delhi. Kolkata and Chennai have the third and fourth highest populations respectively.
Therefore, option 2 is the correct arrangement of the urban agglomerations in descending order as per their population size.