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Yes, you can get admission, but you have to give the entrance examination for the BHU and I think this year's examination process was over so please visit BHU's official website to get more information.

Yes you can, however 5.0 in speaking might have a slight problem.

It depends on the university on what basis they check and will also depend on what you want to study, your overall grades, etc. Applications are evaluated on a case by case basis.

Hi, There is no eligibility here. However typically IELTS test takers are of 16 years minimum. Also, yes you can IELTS after your Diploma as well. The scores are valid for two years, once expired you have to give again. Choose to take the test depending when you are going to apply abroad.

If you are from reserved category then you can easily get top colleges of DU
or Else
If you are from unreserved category then getting good colleges of DU is hard. Other Options are
1. Amity Noida
2. OP Jindal
3. Indraprastha University.