The correct answer is option 'C' - 5000 villages.

Explanation:

In India, there are approximately 5.6 lakh (560,000) villages. These villages are spread across the country and are home to a large portion of the population. Commercial banks play a crucial role in providing financial services to rural areas, including villages. However, due to various factors such as infrastructure limitations and low population density, not all villages have access to commercial banks.

To determine the number of villages served by commercial banks, we need to consider the outreach and coverage of these banks in rural areas. While commercial banks have been expanding their presence in rural areas, it is important to note that not all villages have a branch of a commercial bank.

Here's a breakdown of the options:

a) 1 Lakh villages: This option suggests that 100,000 villages are served by commercial banks. However, this number seems too high considering the infrastructure and outreach limitations. Therefore, this option is not the correct answer.

b) 10,000 villages: This option suggests that 10,000 villages are served by commercial banks. While this number is more reasonable than option 'a', it still seems relatively high considering the challenges in reaching remote areas. Therefore, this option is not the correct answer.

c) 5000 villages: This option suggests that 5000 villages are served by commercial banks. This number seems more plausible, considering the challenges in reaching rural areas and the limited presence of commercial banks. Therefore, this option is the correct answer.

d) None: This option suggests that none of the villages are served by commercial banks. While it is true that not all villages have access to commercial banks, it is unlikely that none of the villages are served. Therefore, this option is not the correct answer.

In conclusion, out of the 5.6 lakh villages in India, approximately 5000 villages are served by commercial banks.