IIT

Hello Vallabh,
IITs are similar to the other engineering colleges when it comes to the branches offered.
You can find the courses like ECE, EEE, CSE, IT, mechanical, etc, and in addition to these, you can also find some courses like aerospace, engineering physics, industrial engineering, etc.
Based on your ranks in JEE Advanced, you can get a seat in various branches.

Since you are left with your JEE Mains attempts, so you can fill the JEE Mains form to get into IITs.

Hello Moni,
I suggests you to join job first, and then gain some experience and then go for M.Tech degree. This will benefit you at the time of job.

Dear Ratan,IIT-Kanpur, IIT-Bombay, IIT-Delhi, IIT-Kharagpur offer courses in Aerospace Engineering.

Hi Arul,
No, IIT Madras DOMS does not accept XAT scores. It accepts only CAT scores as IIMs.
You may also refer :
https://doms.iitm.ac.in/index.php/admissions/mba-admissions/eligibility-and-selection

If you belong to general category, you can't study in IIT after class 12th
But, if you are in OBC /ST/SC category, then you may get a chance to study in IIT.

If you are in general category, you can't study in IIT after class 12th with only 60% marks.
But, if you belong to OBC /ST/SC category, then you may be eligible to take admission in IIT.

Here is a list of the best IIT JAM, TIFR GS, JNU, BHU Coaching & Tuition Institute in Kolkata, West Bengal.
Graduate School of Science (JAM Coaching Kolkata)
Sealdah & Jadavpur Kolkata-700005
(0)-(9433)-(163)-(029)
Resonance
Concept Premiere Education,Kolkata
033-234-2523
Vidyasagar Classes, Kolkata-32
033-(365)-256
Career Line Coaching, Kolkata-98
033-458-3695

Hello Rekha,
Other than JEE Mains, you can write BITSAT, VITEEE, SRM JEEE, AEEE and MUOET.
These are one of the top colleges for engineering and also equally competitive.

Hello Siddharth,
To pursue MBA from IITs, you need to write CAT. For the private colleges, you need to appear for the specified entrance tests (if available) or else they would also accept based on scores in top exams like CAT, MAT, and XAT etc.
So, for private colleges you need to verify the admission procedures carefully.