Engineering Entrance Exam

Yes you are eligible to appear in GATE. you should visit the website of IITs for syllabus,eligibility criteria. if you secure a good rank in it you will get admission in IITs, like IIT roorkee

If you want to do job in the industry than after some years you required a master degree, for managerial post sometimes MBA is the best choice but m.tech is a core field and you spend four year so you can do in the engineering itself unless you got a very precious business school like IIMs, xlri, MDI, FMS and IITs etv

As you have full one year so think to get a seat in IITs definitely you will get a seat in NITs dear. To secure an NITs you should set a target of 175 marks .all the best

No it is not possible to get admission with your JEE mains score, the only way to get admission is based on your JEE Advanced All India Rank.

Depends on ur,category

Obc cut off is 70. Try for good private colleges. NITs n Govt. Colleges have very low chances

The colleges details would be revealed in the counselling, however you may get a chance in the first counselling, although top 5 IHM is not possible however you may get the other IHM's

If you are ST then you may get descent NIT but if you are from General category don't even think about it!
ALL THE BEST!

for cs 250+
for other lower branches 230+