I have done my BA in economics but I am very weak in English. Can I go for MBA? I did not study English after my 10th.

Weak English can be improved. The good thing about language learning is that you can get excellent ATIT within few months. However, you won't master it like Shashi Tharoor but yet you'll be fluent ATIT if you put effort and don't give up. To get admission in B-School, for that matter, English isn't