The correct answer is option 'C' - 2003-04.

Explanation:

India is one of the largest food grain producers in the world. The country has made significant progress in increasing its food grain production over the years. Crossing the 200 million tonnes per year mark in food grain production is a significant milestone for the country. Let's understand why the correct answer is 2003-04.

1. Overview of India's food grain production:
- India has been an agrarian economy for centuries, and agriculture plays a crucial role in the country's economy.
- Food grain production refers to the total output of cereal crops like rice, wheat, maize, etc.
- The Green Revolution in the 1960s brought about significant improvements in agricultural practices, leading to increased food grain production.

2. Year-wise food grain production:
- To determine the year when India crossed the 200 million tonnes per year mark, we need to analyze the annual food grain production data.
- The data shows that India's food grain production has been increasing consistently over the years.

3. Analyzing the given options:
- Option 'a) 2013-14': This is unlikely to be the correct answer because India had already crossed the 200 million tonnes per year mark before this period.
- Option 'b) 2014-15': This is also unlikely to be the correct answer for the same reason mentioned above.
- Option 'c) 2003-04': This is the correct answer because it is the earliest option provided, and India had indeed crossed the 200 million tonnes per year mark by this time.
- Option 'd) 2016-17': This cannot be the correct answer as India had already crossed the 200 million tonnes per year mark much earlier.

4. Conclusion:
- Based on the analysis, the correct answer is option 'C' - 2003-04.
- It is important to note that India's food grain production has continued to increase since then, further contributing to the country's food security and agricultural growth.