In which year was the Department of Sports transformed into the Department of Youth Affairs and Sports?

The correct option is 1985.

Here is a step-by-step explanation of the historical context:
1. The Department of Sports was initially set up by the Government of India in the year 1982, coinciding with the hosting of the 9th Asian Games in New Delhi.
2. During the celebration of the International Youth Year in 1985, the government merged youth welfare programs with sports activities.
3. Consequently, in 1985, the department was renamed and transformed into the Department of Youth Affairs and Sports.
4. Later, this department was upgraded to a full-fledged Ministry of Youth Affairs and Sports in the year 2000.