CBSE 12th

Yes, you can get admission in B.Tech. Just see the criteria for the colleges you shortlisted, and according to your entrance rank you can apply in the colleges.

7.5 CGPA as this will reflect your academics and if you choose 56%, you will be the sufferer.

As per the score that you have got in JEE Mains exam, chances for getting any IIT are nil but you can get some other good engineering. The maximum cut-off score is 81 for general students and you have 83. Participate in the counselling process of private as well as government colleges. You will easily get admission in a good college.

There are a lot of Diploma courses you can enquire about on the website of Mumbai University.
All the best.

Hello Dilip,
If you are going to appear in improvement exam 2018 then this is the rule of improvement exam that you should not use you this year result for any higher study.
And, if you used the result then your improvement result are not valid.

In Hyderabad, there are some colleges which have good rank among other state colleges for B.Sc nursing programmes.
You should try for below mentioned colleges :-
Nizam's Institute of Medical Sciences - [NIMS]
JMJ College of Nursing,Principal street,Sanath Nagar Industrial Estate,Hyderabad
Yashoda College of Nursing, Nalgonda X Roads, Malakpet, Hyderabad

If you are a PCM student then you can go for B.Sc in IT as it has a lot of scope.
If you are a PCB student then you can do B.Sc in microbiology or biotechnology as there is a lot of scope for both the courses besides this if you are interested in something in the medical field, you can go ahead with physiotherapy or pharmacy.
All the best.

There are many B.Sc courses which you can choose. But, nowadays there is a lot of scope for B.Sc IT. It is really a good course. You can go for it, if you are interested.
Moreover, do what you like, don't do it just because someone is telling you.
All the best.

You should apply for National colleges like:
St.' Paul's College
Wilson College.