How do IIM and IIT students from Jammu (J & K) study in a conflict environment? Do their parents allow them to study there?

Unlike the general misconception, Jammu is as safe as any other city in India. Only Kashmir is inflicted by riots and has a conflict environment. My sister had no doubts when she made the decision to pursue MBA from IIM Jammu. In fact, even our parents did not worry about her relentlessly. 

As a part, a little concern on their part is justified. But if the riots and conflicts are the reason your parents can rest assured as Jammu is a very safe city.

Moreover, IITs and IIMs are institutes of great national importance. Hence strict regulations are imposed to maintain safety within the campus.