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  # Q.3 Population of Rajasthan = 570 lakhs and population of UP = 1660 lakhs. Area of Rajasthan = 3 lakh $$km^2$$ and area of UP = 2 lakh $$km^2$$. (i) How many people are there per $$km^2$$ in both these States? (ii) Which State is less populated?
  
  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.
explanation: The document contains a math question and its corresponding answer. The question involves calculating the population density of two states, Rajasthan and UP, and determining which state is less populated. The answer provides the calculations and the final conclusion.
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distilabel_metadata.content: 3 Tutor System
  Starting just at 265/hour
  
  # Q.3 Population of Rajasthan = 570 lakhs and population of UP = 1660 lakhs. Area of Rajasthan = 3 lakh $$km^2$$ and area of UP = 2 lakh $$km^2$$. (i) How many people are there per $$km^2$$ in both these States? (ii) Which State is less populated?
  
  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.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and its corresponding answer. The question involves calculating the population density of two states, Rajasthan and UP, and determining which state is less populated. The answer provides the calculations and the final conclusion.
  
  Label: question-and-answer