GATE

Hello Renu,
GATE is an entrance exam for doing PG in engineering. Eligibility for this is Graduation in engineering. Since you have done B Sc, you are not eligible to appear for GATE.

Without GATE, you only have the option of admitted in any private institution, which can't prefer GATE and conducts their own entrance test.

Yes, GATE exam is compulsory for all the students who wants to go for higher studies after B.Tech and through GATE exam score, you can get the college.

GATE Online Application Processing System (GOAPS) is open now. You may submit your application at http://gate.iitg.ac.in/

Hello Shubham,
It depends upon your interest. If you are happy with the package, and if do not wish to go for further study, then you may not give the exam. It totally depends upon your choice.

Students with B.Tech Automobile Engineering degree from recognized engineering colleges or universities are eligible to appearing GATE.

Hello Aniket,
You can get the syllables for GATE exam in the link provided just select your branch and download the syllabus:
http://www.gate.iitg.ac.in/?page_id=55

Eligibity criteria for appearing on GATE is that candidate must have completed Bachelors degree in Engineering/ Technology (4 years after 10+2 or 3 years after B.Sc./Diploma in Engineering/ Technology) and those who are in the final year of such programs. Even if you had backs, you are eligible to appear for GATE.