The correct answer is option-2, which states that the period covered by the recommendations of the 12th Finance Commission is from the year 2005 to 2010.

Option-1 suggests that the period is from 2004 to 2009. Option-3 suggests the period is from 2006 to 2011, while option-4 suggests the period is from 2007 to 2012.

It is important to note that the Finance Commission is a constitutional body in India that is responsible for making recommendations regarding the distribution of financial resources between the central government and the state governments.

The period covered by the recommendations of the Finance Commission is usually five years. The commission studies various aspects such as the financial position of the central and state governments, the resources available, and the spending requirements. Based on its analysis, the commission then makes recommendations on the sharing of resources between different levels of government.

In the case of the 12th Finance Commission, the correct answer is option-2, as it covers the period from 2005 to 2010.