Hello Rittick,

MAT is conducted four times a year in the months of feb, may, sept and dec. The next Mat will be in Sept 2019.

MDI Murshidabad doesn't accept MAT scores. The admissions here are purely through CAT.  Also KJ Somaiya doesn't accept MAT scores. The admissions at KJ are through CAT, XAT, CMAT & GMAT for the MMS (CET exam) and PGDM program.

There are a lot of colleges under MAT some of them are Jaipuria, Christ Bangalore, ITM Business school, GITAM, IILM and many more. But all these are average colleges and it would be great if you appear for CAT as there are some good colleges available even at 70%ile. 

Best Luck!