IIT

No, you can not because it is compulsory to have maths to appear for IIT JEE exam.

Hello,
Thanks for asking.
Yes, you can prepare for IIT JAM 2017 easily.
To prepare for IIT JAM exam, you have to remember some points-
- You have to choose the best books for the preparation of JAM.
- You should solve previous year question papers.
- Don't miss mock test papers.
Checkout further details here - https://goo.gl/VYbs2u
I hope it will help you.
Best of Luck.

It depends on your home state quota and your branch preference. It would be better if you can add some more details to your question.
Thank you.

There will be no effect on your placement but at least you will do much hard work to get next year and achieve better rank than this year.

BITS Pilani has an excellent dual degree program. BITS is a pioneer Institute in concept of dual degree in India.

Yes, but you have to crack JEE advance exam.

Yes, you can do that. Even, if you clear that exam, you will have to face interview in which they will keep stressing on, why do you want change your field?

There are students from other institutes too getting well paid jobs, but IITs have the best campus selection and the best possibility to get good jobs.