Exam

With such a low percentage in your graduation, you won't be eligible for CAT examination, as eligibility criteria, is a student must have 50% or above in his academics.

There are 2 possible solutions to this question, first go to the website and download and secondly check with some old students.

Sorry, with this marks you will not be able to get Government College.

There is no such biasness towards arts students. Arts students can also prepare for CAT, if they have good hold over mathematics, till class 10th and they prepare hard for the other sections like verbal ability and logical reasoning and data interpretation by practicing proper material.

There is no chance of giving JEE, as you have passed your class 12th in 2014, and I think you have given JEE for 3 times. And, you have less scores, you require minimum of 75%, to get into IIT or other Engineering College. Sorry, but you are not eligible for JEE for next year.

MMM does not come under UPTU university, they conduct their own examination.

I don't think you'll get to know your score, because when I wrote they never mentioned about scores, just had ranks. So unfortunately, you will never know. But, be thorough with CET, which can fetch you good rank in PESSAT.

To check the college, on the basis of JEE Mains ranking, Use JEE Mains College Predictor. Link is given below:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm_medium=CR_JEECP&utm_campaign=6540165.