MAT

Yes, you are eligible.

Yes, you have chances to get a call from XIME, Bangalore. You have a decent score and academic profile so you can expect a call. You will just need to perform well in GD/PI.

Dear Kamaludheen,
Across India, for the preparation of CAT and MAT entrance examinations, TIMES, IMS and Career Launcher are the best options. Kindly join any of the above-mentioned coaching institutes.
All the best.

Dear Vivek,
No problem, but you should able to justify the reason behind gap years. Put some industry experience in that gap because the colleges which accept MAT score ask the question about the year gap.
All the best.

Not a chance. Forget about your XAT 2017 score and start preparing for CAT 2017 & XAT 2018. Even tier 3 colleges require at least 60-70 percentile.
The cut-off for XIME is generally around 70-75 percentile.

I don't think there are many colleges under CMAT and MAT for MBA IB. You can appear for CAT exam to pursue MBA IB.

The MAT cutoff for last year was around 600, so in my view you can easily make for your admission at PUMBA.

IMS or TIME is the better option. Self-study at home will help you to a greater extent.

Hi Adil,
You can refer to the below mentioned link:
https://www.shiksha.com/mba/colleges/mba-colleges-in-india-accepting-mat-score?
All the best.

You are eligible to appear for GMAT as there is no marks cut-off criteria to appear for GMAT. You are not eligible to apply for CAT as you do not have min 50% marks in graduation degree. You can apply for MAT but may not be eligible to apply in B-School which uses MAT score as you do not have min 50% marks in B.Com degree.