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Answer :
Population of Rajasthan = 570 lakhs
Population of UP = 1660 lakhs
Area of Rajasthan = 3 lakh\( km^2 \)
Area of UP = 2 lakh \( km^2 \)
(i) Number of people per \( km^2 \)of Rajasthan
= \(\frac{570 lakhs}{3 lakh km^2} \)= 190 per \(km^2 \)
Number of people in UP = 1660 lakhs
Area of UP = 2 lakh\( km^2 \)
Number of people per\( km^2 \)of UP
= \(\frac{1660 lakhs}{2 lakh km^2} =830 per km^2 \)
Since 190 per \(km^2\)< 830 per \(km^2 \)
(ii) Rajasthan is less populated state.