MAT

Yes, you can join Mohan Lal Sukhadia University without writing MAT entrance test 

Mohan Lal Sukhadia University considers previous year degree marks. The minimum requirement to join Mohan Lal Sukhadia University without writing MAT entrance test  is more than 48 percent.

Some one-year PG courses that accept CAT and MAT results are as follows: 
MBA in Entrepreneurship: This degree is offered at various Indian universities, including the Indian Institutes of Management (IIMs). The semester-based education costs between INR 1 and 20 lakhs.
Post Graduate Diploma in Entrepreneurship Development: This is a two-semester full-time degree program.
MBA in Human Resource Management: Candidates who have graduated from a recognised university and completed an MBA entrance test are eligible for this program.
This course accepts CAT, MAT, XAT, and NMAT results for Business Analytics.

Yes, it is possible that you get admission in Jain deemed to be a university (JET) without the MAT exam. It is not mandatory to pass the MAT entrance exam for admission. Apart from that, universities organize the Jain entrance exam or other entrance exams like CMAT, CAT, XAT, NMAT, and GMAT.

XIME have high cut off for MAT 80%ile +. If you want admission through MAT then write February MAT and try to score better. XIME accepts CMAT also try to get good percentile in CMAT too. I have received 708.5 in MAT exam (95.6 percentile)

For MBA at Gurugram university minimum cut-off for MAT score is 650. And that too may vary according to the quality of candidates applied. The chance of getting admitted will be high if the score is too good.

Yes, without MAT or even if you haven't given any entrance exam you can join Dr D Y Patil institute of Master of Business Administration .

If got  low percentile in your entrance exam or you haven't given any entrance exam you can get admission in DYPIMBA  through management quota.

For more details you can visit respective college