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In the given question, we are asked to identify which state did not experience a decline in the rate of population growth during the decade 2001-2011 compared to the previous decade 1991-2001.
Option 1 is Tamil Nadu. The correct answer is 1, so Tamil Nadu is the state that did not experience a decline in population growth.
To better understand this, we can dissect each option. Option 2 is Kerala. We do not know if Kerala experienced a decline or not, so we cannot determine if it is the correct answer. Option 3 is Goa. Similarly, we do not know if Goa experienced a decline or not, so we cannot determine if it is the correct answer. Option 4 is Andhra Pradesh. Again, we do not know if Andhra Pradesh experienced a decline or not, so we cannot determine if it is the correct answer.
Therefore, the correct answer based on the information provided is Tamil Nadu, as it is the only state that we know did not experience a decline in population growth during the mentioned time period.