Lucknow

1.RUDRA CLASSES
Coaching Center Geeta Sadan A-1/5, Sector-A Above Syndicate Bank, Near BOB Bank Kapoorthala
2.T.I.M.E.
Coaching Center Triumphant Institute of Management Education Pvt. Ltd., 2nd Floor, Abv Bata Show Room, Sky Business Cntr, 9 Commercial Complex

It is the best college for PGDM course in Lucknow.
It is the best college for management studies in Lucknow. It not only provides learning, but also improves your skills sets. In corporate world skill sets are so important to survive and this college focuses on those skills which make you an excellent manager.

Please don't prefer biotechnology in B.Tech stream, it would be very difficult for you find jobs in that stream, Indian company HR's love to recruit only BSc student with less pay scale and won't give preference to us. Better if you would change your mind set early to switch to other stream.

Yes Integral university is good university for BBA Please check the college all other detail and review by the students studying here by the link given below
https://www.shiksha.com/university/integral-university-lucknow-21870

Hello Sapna,
Getting a good job depends on the university from which you get your B.Tech degree. So, check links given below and know the best colleges, check their cut-offs and average placements, and more information about them.
https://www.shiksha.com/b-tech/colleges/b-tech-colleges-greater-noida
https://www.shiksha.com/b-tech/colleges/b-tech-colleges-lucknow
Hope this helps.
All the best.

Babu Banarasi Das is a good option if one wants to pursue this course because the faculties possess experience of more than 10 years or so and the infrastructure also provides you the facility of residing in the campus if you're a student from outside.

If you don't want to skip a year before you crack CLAT then you can choose this alternative. Lucknow University is fairly good.

Kindly check:
https://goo.gl/oDwpKf

BBD University will be beneficial for you to pursue MBA amongst the two choices you have because the facilities hold the industrial experience as well. So, one would be gaining much knowledge and will have better exposure.
The perks of this institution is that its location is on the main road unlike the latter one.