The rural poor across the world, including India; have contributed little to human-induced climate change, yet they are on the frontline in coping with its effects. Farmers can no longer rely on historical averages for rainfall and temperature, and the more frequent and extreme weather events, such as droughts and floods, can spell disaster. And there are new threats, such as sea level rise and the impact of melting glaciers on water supply. How significant are small farms? As many as two billion people worldwide depend on them for their food and livelihood. Small-holder farmers in India produce 41 percent of the country’s food grains, and other food items that contribute to local and national food security.

Question: What is the most logical and rational corollary to the above passage?

The correct option is: Supporting small farmers is an important part of any agenda regarding environmentally sustainable development.

Step-by-step Explanation:

1. Analyze the passage's key premises:
- The rural poor, including those in India, have contributed very little to human-induced climate change, but they suffer its consequences disproportionately.
- Climate change manifests in unpredictable rainfall, changing temperatures, and extreme weather events (like droughts and floods) that threaten farming.
- Small-holder farms are highly significant: about two billion people globally depend on them for food and livelihoods. In India, they produce 41 percent of food grains, playing a vital role in national and local food security.

2. Determine the logical corollary:
- Since climate change directly threatens small-holder farmers who feed billions and secure food supplies, any strategy addressing climate change and environmental sustainability must safeguard their livelihoods.
- Therefore, supporting these small farmers is a crucial, rational component of any agenda geared towards environmentally sustainable development. This directly explains why the first option is the correct corollary.

3. Why other options are incorrect:
- "Poor countries have little role to play in the mitigation of global warming." The passage mentions that the rural poor contributed little to causing climate change, but it does not suggest that poor countries have no role or responsibility in mitigation efforts.
- "Due to a large number of farmer households, India will not have food security problem in the foreseeable future." The passage warns that extreme weather events can spell disaster for these farmers, which actually threatens food security rather than guaranteeing it.
- "Only small-holder farmers in India can ensure food security." The passage states that small-holder farmers produce 41 percent of food grains. While this is a significant portion, the word "only" is too extreme and unsupported, as other sources also contribute to the remaining food security.