The first modern census in Karnataka was conducted in the year:

1851
1871
1901
1921

The correct answer is: B) 1871.

The first modern census in Karnataka was conducted in 1871. The census was conducted by the British government and was used to collect data on the population, economy, and social structure of the state. The census was conducted every ten years after that, until 1941. After India’s independence in 1947, the census was conducted every five years.

The 1871 census found that the population of Karnataka was 10,974,383. The majority of the population was Hindu (85%), followed by Muslim (10%), Christian (3%), and Jain (2%). The majority of the population spoke Kannada (65%), followed by Telugu (15%), Tamil (10%), and Urdu (5%). The majority of the population lived in rural areas (80%), while 20% lived in urban areas.

The 1871 census was a significant event in the history of Karnataka. It was the first time that the population of the state had been accurately counted. The census data was used to develop policies and programs to improve the lives of the people of Karnataka.

The other options are incorrect because they are not the years in which the first modern census in Karnataka was conducted.