CAT

Hi Bishal,
Well in my opinion, if you fall under OBC category you must have you OBC certificate for the admission and if you have that, then there shall not be any problem in getting admission and also you must have a good past academics record as your CAT score is average and you have to perform really well in GD/PI.

The chances are less because TAPMI follows a trend of taking admissions for percentile above 80 in CAT. Have you written XAT?

Your score is more than enough for getting call for the GD/PI.If you can perform well in GD/PI surely you will be selected.

B.Tech students have advantage of strong quantitative aptitude, so they are good with numbers. Despite of choosing other courses, if your quant is strong, one can score better and hold good positions.

People get even 100 percentile in CAT exam with regular college studies. It completely depends on your dedication, hard work and the amount of distraction in your life.

3 to 4 months are good enough to prepare for CAT exam, if you spend 6 to 8 hours daily in preparation. But, to be honest more than preparation hours, it is about the study material and your understanding.

You try and appear for other competitive exams during the year. With this percentile, it's difficult to get admission in any institute.

The criteria for CAT is 60 percentile. Try applying with your XAT/MAT scores.

The eligibility criteria for OBC students is 85 percentile overall with no sectional cut-offs.

It is a very good score, though you won't get calls from top 5 IIMs. You can still get calls from other IIMs, you can wait for them or you can apply for colleges like BITS - Pilani, SP Jain, etc.