IIT

Hi Karan, don't get disappointed too easily. At least try for the JEE entrance. Rather, if you want admission in a private college, go for SRM, Amity, GLA, Galgotias, LPU, etc. They offer various courses with good placements for candidates.

Hall and Knight's Elementary and Higher Algebra
Loney's Trigonometry Coordinate Geometry
Calculus by GP Thomas.

Hii Sriniwas,
If you go with the trend, pursuing Ph.D after M.Sc seems to be the most followed option. However, most of the IITs have great campus recruitment facilities for not only B.Tech students but also for other programmes such as M.Sc, M.Tech, integrated Ph.D, etc. For sure, you'll get a decent paying job.

Apply first as a foreign student for the IIT exam. Give the exam at your given location. If you are eligible for admission and your rank is high, then you should apply for Visa.

There is no particular rule that is stopping you from doing it. It is allowed in nearly all places except the forces like police and army.

It will be from 2019 onwards.

It's not a compulsion that a student can get placed with IIT or NIT. It depends on the skills of the student and ability to expose his/her ideas and also on technical knowledge.

IITs do offer M. Design. You can also refer to other colleges/universities like
National Institute of Design, Bengaluru, Tumkur Road, Bangalore which offers this course.

Hi,
Well, it is difficult to get any government college with 71%. Most of the engineering colleges give more preference to the entrance exam score for the entrance.
Regards.