India and China did not have any conflict, politically and culturally, since a thousand years ago. Still don't.
I do not see any reason why Indians do not like China. Some of them may not get used to the way things are done here (culture difference), but this is normal. Most Indian friends I have here love this country.
India is also a country with rich and long history, like China. I am facinated with its culture and would like to visit the country one day.
It depends on the person! Most Indians I meet in Taiwan like Chinese culture. I have a few Indian classmates and they all think Taiwan is "cool".
On the other hand, I once met an Indian boy who thought of China as this power-hungry crony of Pakistan. He was friendly to me, though, so I guess many Indians don't like the country China but are fine with Chinese people and Chinese culture.