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The correct answer is option 2: Rajasthan. The question is asking for the state with the largest gap in male and female literacy rates. This means that there is a significant difference between the percentages of literate males and females in the state.
Option 1: Uttar Pradesh is not the correct answer because it does not have the largest gap in male and female literacy rates.
Option 3: Madhya Pradesh is not the correct answer because it does not have the largest gap in male and female literacy rates.
Option 4: Kerala is not the correct answer because it has one of the highest literacy rates in India and therefore does not have a large gap between male and female literacy rates.
Therefore, option 2: Rajasthan is the correct answer as it has been identified as the state with the largest gap in male and female literacy rates.