Option 1 states that both Statement I and Statement II are individually true, and that Statement II is the correct explanation of Statement I. Statement I is true because India does indeed have wide variation in population density. The population density in India is not evenly distributed, with some areas being highly populated while others have low population densities. Statement II is also true because factors like agricultural productivity and history of settlements have greatly influenced the population density pattern in India. Areas with higher agricultural productivity tend to have higher population densities, as they can support larger populations. Similarly, areas with a long history of settlements, such as urban areas, tend to have higher population densities. Therefore, Option 1 is the correct answer as both statements are true and Statement II provides a correct explanation for Statement I.