in jee mains 2018 i have got 50344 in sc rank can i have any government univercity?

Sorry to say but even with your SC rank the chances of getting any NIT or IIIT are low and even if you get one you might not get the core branches so I would suggest you either to prepare for other government entrance exams or to look for any good private college and side by side you can attend jee main counselling and look for the best.

Hii Suraj,
As per your rank and your SC quota you can get admission in NIT of north eastern states.It is sure.And you can also get admission in some good nits but you will not get a good branch.Now the choice is yours either get a good NIT or a NIT with a good branch.
Best of luck.

Yeah!!
You can join state gov. Colleges.

hai suraj, i think there is no such big score as cutoff rank for any jee colleges even you category doesnt helps, but there will always a luck factor opt for all the councelings and you may get the seat in any of the colleges all the best