MBA Private college

If you would like to pursue MBA online, National Institute of Business Management (NIBM) can be a good option. NIBM offers 1-year MBA, 2-year MBA and 1-year executive MBA in online mode. NIBM also offers online MBA video tutorials to all its registered students. You may visit NIBM's official website for information regarding specialization.

Dear Subrata,
A year loss for MAT exam will affect because for clearing MAT exam it takes less than a month preparation, but if you are graduating this year and targeting admissions in next year I suggest you to prepare for CAT/XAT/SNAP/IIFT because these exams carries value.and if you manages to score anything above 85% then you will be getting in top 20' business schools.
All the very best.

In private you can look for colleges like SP Jain Mumbai, XLRI, Welingkar Mumbai, Alliance Bangalore, UPES Dehradun, ICFAI Hyderabad , IIFT and KJ Somaiya. The dates for GD/PI interviews are already out so if you are interested you can register and appear for GD/PI. Some of these have their own entrance too for candidates who do not have valid CAT/MAT/XAT/NMAT criteria.