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Population density is calculated as the number of people living per square kilometer. According to the Census 2001 data, the options given were Kerala, Madhya Pradesh, Uttar Pradesh, and West Bengal.
Option 1: Kerala - While Kerala has a high population density, it does not have the highest compared to some other states in India.
Option 2: Madhya Pradesh - This state has a large area but its population density is much lower due to the relatively sparse population in some parts.
Option 3: Uttar Pradesh - Uttar Pradesh has the largest population in India. However, because the state is also quite large in terms of area, its population density is not the highest.
Option 4: West Bengal - According to the Census 2001, West Bengal had the highest population density among all states in India, because of its relatively high population and smaller area. Therefore, the correct answer is option 4, West Bengal.