Hey Tinnavalli!

There is no particular cutoff for SASTRA University the admission at SASTRA  is based on two ways:
Stream 1: JEE main marks + board exam marks (70% seats)
Stream 2: only board exam marks (30% seats)
There is no specific cut off to get a seat in SASTRA University. It depends on the student who scores the highest marks. If you have appeared for JEE Mains then apply under stream 1. If your board exam marks is 90-95% and JEE main marks is between 50-120 then you can get admission under stream 1. 
For stream 2, your board exam marks should be at least above 85-90% to get a seat and if it is more than 95% you can get a good course. 
The last date to apply is June 10th and they will release the rank list on that day.

You must apply for the SASTRA university and wait for the final list and hope for the best.