Bareilly

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Hi Neema,
You can directly connect with the institute, they will mostly conduct a personal interview as an admission criterion.

There is an entrance exam to get admission in NIFT you need to pass that to get admission.

Hi Hardik,
Check with TIME, Career Launcher, IMS, etc. You can choose amongst the one all are good institutes.

Please refer to the links provided below for details on both colleges. You should be able to add both colleges to a compare list and analyze which college you would prefer to complete your Bachelors from.
https://www.shiksha.com/humanities-social-sciences/articles/heritage-universities-of-india-part-2-blogId-8541
https://www.shiksha.com/college/veterinary-college-bangalore-51531
After completing your Bachelors, you can opt for a Masters or join the industry in your respective field. The choice is yours.

I attended classes in TIME, Bareilly. It is a good guidance place to prepare for management exams, go for it.

You can pursue B.Lib from IGNOU. It is a very well established brand name in the field of distance education. It also has a very reasonable fee structure. For further details, kindly visit the below mentioned URL.
http://www.ignou.ac.in/ignou/aboutignou/school/soss/programmes/detail/148/2
I hope this would suffice. All the best.