Colleges in Ajmer

Here is a list of UGC approved universities- http://recruitmentresult.com/ugc-approved-university-list/

You have not mentioned the examination for which you obtained the rank like JEE/Mains/Advanced or UPSEE, so it is difficult to answer you. However if your rank belongs to JEE Mains/Advanced then visit:
josaa.nic.in
if you enrolled there for seat allotment results. And if your rank belongs to UPSEE. Then you can get admission in following colleges. 1. Azad Institute of Engineering & Technology, Lucknow 2. Dr. Ram Manohar Lohia Avadh University, Faizabad and 3. Sri Ram Murti Smarak College of Engineering & Technology, Lucknow.

It is not good college for MCA. You should opt to other private colleges to do MCA.

For admission in MA in history, you should have passed in BA/or its equivalent degree.

You will definitely get IET-Lucknow. HBTI and MMM is no longer a part of UPTU.

No, with this rank you'll get Government College for lateral entry. For lateral entry in government colleges your rank should be around 100.

Hi Kunal!
You can find all the information about the CUCET exam on this link: https://www.shiksha.com/science/exams/cucet/application-form

As the exam comprises of 4 sections, in the first section, you have to answer 25 MCQs. Section 1 contains the questions related to physics and 2nd section contains the questions related to chemistry and after that, section 3 contains the maths and section 4 contains biology.

Your rank must be under 500 to get a good government college.

Arena Animation/MultiMedia offers various training sessions and certifications and these are private training.
Check out this Answer on Shiksha:
https://ask.shiksha.com/is-arena-animation-s-course-certificate-eligible-for-world-wide-qna-4797477?referenceEntityId=4797701
If you have pre-knowledge about animation, then take demo classes or take guidance from someone who knows animation and shows the Arena Ajmer students' work to them to know what is the level of training.