IIT

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.

BITSAT is comparatively tougher than CET, but easier than IIT. BITSAT is about speed and accuracy.