Telangana

No, Gokaraju Rangaraju Institute of Engineering and Technology does not offer any MCA courses to students. The institute only offers BTech and MTech courses. You can look for alternate colleges offering the MCA course on the Shiksha website. You can additionally compare different colleges through the compare option on the Shiksha website.

With a General EWS category rank of 81,000 in JEE Mains, you might have a chance at some NITs or IIITs in Andhra Pradesh and Telangana, but it will depend on the specific branch and college, and you might need to consider home-state quota options. 

Hyderabad colleges offering integrated B.Tech in AI after 10th:

- Vignan Institute of Technology and Science (check eligibility)

- SVKM's NMIMS offers a 6-year integrated B.Tech in Automation and AI

Most colleges require 10+2 qualifications for B.Tech AI programs. Verify eligibility and programme details with colleges.

With a NEET score of 272 you might find opportunities for BAMS or BDS in Telangana in private colleges with fees structure of Rs 2 Lacs per annum but securing a government college would be challenging for you. You can search for private institutes offering the same courses. There can be several colleges you might find suitable.

Under Your Specified Budget, Best MBA/PGDM Colleges Include -

Delhi NCR:

1) Noida Institute of Engineering and Technology

2) Galgotias University 

3) Accurate Group of Institutions 

Hyderabad:

1) CMR College of Engineering and Technology 

2) St. Joseph's Degree and PG College

3) Amjad Ali Khan College of Business Administration

Banglaore:

1) Christ University

2) East Point Group of Institutions

3) The Oxford College of Engineering

You will have to go through the basic steps of admission. Do research on the colleges that suit your profile and expectations, then either mail them or contact them on websites or by phone. Attend the counseling and follow the process they guide.