Colleges in Pune

A composite score of 600 or above in the Management Aptitude Test (MAT) conducted by AIMA in either September - 2017 / December 2017 / February 2018 / May 2018 OR
A composite score of 450 or above in GMAT 2017 OR 2018 OR
A composite score or 300 or above in GRE 2017 OR 2018 OR
70 percentile or above in the Common Management Admission Test (CMAT 2018) OR
70 percentile or above in the Common Admission Test 2017 (CAT) conducted by the Indian Institutes of Management (IIMs) OR
70 percentage or above in the XAT Test for Management Admissions (XAT) 2018
70 percentile or above in the ATMA 2018.

You can check the complete details by going through the following link:
https://christuniversity.in/institute-of-management/institute-of-management-mba/master-of-business-administration-(mba)/682

I shall not give you a judgement about the same but will try to explain both sides.
Suppose you do B.Sc IT, the positive side is that, it's a 3-year course, not done through JEE type tough entrances. It has limited syllabus and specialisation in IT and Computer Sc.
Now, let me tell you the risks involved:
1. B.Sc is less preferred by employers when B.Tech is available in abundance.
2. B.Sc gives less technology exposure than BTech.
3. It is of 3 years, whereas, B.Tech is 4 years, so the validity of B.Tech is more for higher studies abroad.
Still, I shall say that if you cannot do B.Tech, then B.Sc is not a bad option.

There are many good colleges in Pune, basically, the government colleges like College of Engineering, Pune etc.
Here is a link:
https://www.shiksha.com/b-tech/ranking/top-engineering-colleges-in-Pune/44-2-0-174-0

You may expect a call from NIBM-Pune. Generally, the CMAT cut-off is around 85-90 percentile.