MBA Entrance Exam

You can only appear for CAT exam if you are in the 3rd year of your graduation or you have completed your graduation.

It is impossible to get admission into a "good" college anywhere in India for studying MBA without appearing for any entrance exam. So you need to give one or the other exam, clear all its necessary cutoffs and perform well in the interview rounds(if shortlisted).

Either, you go for self study or any coaching centre. One year is sufficient for preparation. Good Luck!

Hi Ayush,
You can check if you would receive a call from IIMs through IIM call predictor, here:
https://www.shiksha.com/mba/resources/iim-call-predictor
Good luck.

This year CAT will be conducted by IIM Lucknow, check the IIM L website for further notifications.
For MAT - https://www.aima.in/testing-services/mat/mat.html
For XAT - http://xatonline.net.in/
GMAT - http://www.mba.com/india
Keep checking these websites for registrations and online application forms.

Hi Mohith ,
Indeed, it is the right time to start preparing for CAT. Practice can surely get you into one of the IIMs.

Since,You have one year remaining with you, if you want to prepare for CAT side by side BTech, You can opt for two things, Either take CAT coachings, if you can't do that now, then start reading about Current affairs and General Knowledge, preferable books, Manorama Yearbook, Pratiyogita Darpan, Com