B.Tech Mechanics

Nope, there are better colleges like MSRIT, RV, BMS and PESIT.

https://www.shiksha.com/b-tech/resources/ts-eamcet-college-predictor?utm_source=shiksha&utm_medium=email&utm_campaign=clientmailers
Use this link to predict college you may get seat.

Please check for your eligibility to pursue M. Des from the criteria mentioned at the link provided below:
Master of Design (M. Des. ): Eligibility:
The eligibility to pursue Master of Design, one need to have a Bachelor of Design or Bachelor of Architecture degree with a minimum of 50% marks. There are several universities which are offering Master of Design from distance learning also. Their list is as followed:
Amity University, Noida
Aesthetic College of Interior Designing, Calicut, Kerala
Delhi Institute of Technology and Paramedical Sciences, New Delhi
Regards.

Yes, it's good enough for BE mechanical and you can join with 165+ itself. Placements also will be provided for mechanical department.

Hello, hope you are doing well. You can check the list of college including NIT and IIIT's you can get according to your marks and rank here. Use Shiksha JEE College Predictor: https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=cconnect&utm_medium=CR_JEECP&utm_campaign=7489993.