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Eligibility Criteria for admission to the course is-
Candidates should have completed Diploma in Engineering and Technology or any other equivalent degree or candidates should have passed 3-year B.Sc. Degree examination with Mathematics as one of the subjects in the group combination from a recognized University in the Telangana/Andhra Pradesh state.Candidates should have qualified the exam with at least 45 percent marks and the qualifying marks for reserved categories is 40 percent.
The cutoff for admission varies every year from college to college. Therefore it would be difficult to tell you about the cutoff or the marks required for admission.
You can go htrough the link below and check the previous year allotment details for reference and to have an idea about the rank required for admission.

You've seen some planes flying, perhaps solved some physics problem, and now by some misplaced "knowledge", planes have become your passion. This is worse than a teenage (these days it's earlier, isn't it? ). Crush - worse than an infatuation. Aero has no future, no good career path. Go for mechanical engineering if you care that much. I know you don't feel like reading my answer - your hands are itching to go for that downvote button, perhaps even to the report option - sure, go ahead by all means, but don't pretend with yourself that you didn't read this. I am trying to save you from a regret you will face after four years. Now, to answer your question, join a college that offers aeronautical engineering. Some have their entrance exams, for some, it is just through class 12 marks. Far too many options exist. Refine your question to get those details, or comment - I'll answer more specific ones.

Without a single doubt, you should take maths with commerce. It will help you for anything you decide to study, be it getting into top notch college for graduation or clearing any competitive exams. It always gives you edge over people without maths. No doubt you have to study hard for that and might feel like burdensome, but believe me it is only going to train your mind for analytical problems. And if you're worried of your percentage getting affected by it, don't worry about it, it's your best of four subjects marks that matters for getting into a great college! As you must be aware of the fact that every great college requires you to have maths with commerce, if you are wishing to pursue graduation in the same field.

The candidate must be a graduate in any discipline with 50% aggregate marks from any university or possess an equivalent qualification recognized by the Ministry of HRD, Government of India.
The candidate must have 50% aggregate marks (or equivalent CGPA) in the 10th and 12th board examinations.
Candidates those who are awarded CGPA or grades in place of marks, their CGPA will be converted into equivalent marks based on the equivalence certified by the university/institution/board from where they obtained their degree/certificate. In absence of any instruction from the university, equivalence would be established by dividing obtained CGPA with the maximum CGPA and multiplying the fraction so obtained by 100.
Candidates appearing for the final examination for the Bachelor's degree (or equivalent examination) are eligible to apply. However, they will have to clear their final exam of Bachelor's degree by June 2020.
Marksheet and other documents of passing the final year of Bachelor's degree is to be submitted by September 2020. Failing to submit the requisite documents in time will entitle a student to withdraw from the programme.
Foreign/NRI candidates with above mentioned eligibility criteria are required to submit the filled-up application form along with the requisite documents and application fee of US $50. They will be considered for admission process on the basis of their valid GMAT scores (appeared in year 2019).

The M.Des selection process consists the following
A) Written examination comprising (GAT)
B) Creative Ability Test (CAT) followed by Group Discussion and Personal Interview (GD/PI) for shortlisted candidates of the written examination.
A) Written exam (General ability test) comprise the following
1. Quantitative Ability : This consists the Addition, Multiplication, Division, Fractions, Percentage, Rate of Interest, Work and Task, Ratio and Proportion, and Distance.
2. Communication Ability : It includes questions on synonyms, antonyms, words with corresponding meanings, singular, plural, one word substitutes, idioms and phrases, correct spellings, comprehend a situation from a given passage etc.
3. Analytical Ability : Concepts and practice of creative and lateral thinking are likely to be useful.
4. General Knowledge and Current Affairs : This sub-test is designed to test the candidates general knowledge and current affairs.
b) CREATIVE ABILITY TEST (CAT): This test is administered for both UG and PG Design Programmes to judge the intuitive ability, power of observation in concept development and design ability of the candidate. An
important aspect of the test is the creative and innovative use of colour and illustration skills.

Yes, it is possible to pursue an MA in Sociology even if you have completed your engineering degree. Many universities and educational institutions offer postgraduate programs in sociology to students from diverse academic backgrounds.
To pursue an MA in Sociology, you may need to fulfill certain prerequisites or requirements set by the university or institution offering the program. These requirements can vary, but they often include a bachelor's degree in any discipline from a recognized university. As you have already completed your engineering degree, you meet the basic requirement for eligibility.
It's important to note that some universities may have specific admission criteria or additional requirements for students coming from non-social science backgrounds. These requirements could include taking prerequisite courses or demonstrating a strong interest in sociology through your statement of purpose or letters of recommendation.
To get accurate and detailed information about the specific admission requirements, curriculum, and application process for an MA in Sociology at a particular university, I recommend visiting the official website of the university or contacting their admissions office directly. They will be able to provide you with specific details regarding their program and any additional requirements for engineering graduates interested in pursuing sociology.