MAT

CAT date will be announced in July. MAT, May date is already out.

Since your graduation score is less than 50 % marks, the chances for getting into good colleges is remote, as their mandatory criteria for graduation is 50% marks, but still you can get admission in some colleges that offers Bharathiyar University as their eligibility criteria is 45% marks.

Yes, you can go for it.
All the best.

TIME.
They provide not only good coaching and material for practice but also, they conduct various model exams every week and once the syllabus is over they conduct model exams every day for about 3 weeks.

You can apply in all the best colleges in Pune, like Balaji Group, DY Patil, PIMR, Pune University, Indira group, Kirloskar etc. at Delhi IMS and IMT Ghaziabad. All the best.

You may refer to the following link for a list of top MBA colleges in NCR accepting MAT scores:
https://www.shiksha.com/mba/ranking/top-mba-colleges-in-delhi/ncr-accepting-mat/2-2-0-10223-306

It not only depends on MAT score but also depends on your 10th and 12th score. It also depends on Colleges decisions and there rules. But for some college it requires 90+ score in MAT to offer you scholarship.