CAT

Hi, yes you are eligible for CAT. You just need to do a planned study in math since you feel you are weak in that subject. Being an experienced person in the same field I would like to suggest you to solve practice question papers as many as you can, this will help you in scoring and accuracy in your answer.
Good Luck.

Yes, you can appear for CAT exam this year. Online application for CAT exam form starts around the month of Aug-Sep.

Well, you have fair chances, but then, it all depends upon the number of applications received this year and your GD/PI performance.

Hi,
You have scored very less in your CAT score. Therefore, you will not be able to get admission in MBA college with this score.

Hi,
You can get admission in Techno India Salt Lake - Master of Business Administration with 70 percentile in CAT and 80 percentile in MAT.

Hi, IIM accepts CAT and GMAT score for executive MBA. https://www.shiksha.com/business-management-studies/articles/important-dates-of-top-iim-epgp-programmes-blogId-14710.

Hi, You can refer the below link for MBA in healthcare under CAT exam:
https://www.shiksha.com/mba/colleges/mba-colleges-Mumbai-all?uaf[]=exam&uaf[]=specialization&ts=32677745&rf=filters&ct[]=10224&sp[]=236&ex[]=327&ed[]=et_20.

Hi, You have scored very less in CAT therefore you will not be able to get admission in any college with your CAT score. With your MAT score you can go for college in the below mentioned link:
https://www.shiksha.com/mba/colleges/mba-colleges-accepting-mat-india.