Hello Aspirant,
Yes, of course, you can get into IITs after completing Undergraduation in Sastra University. You can go for M.Tech in CSE Branch but for this you have to appear for GATE exam and should score good score to get seat in any of the IITs. Eligibility Criteria for GATE is described below :-
As per the latest eligibility criteria for GATE, candidates who possess certification from any of the professional societies must ensure that those examinations conducted by the societies are approved by MHRD/AICTE/UGC/UPSC as equivalent to B.E./B.Tech./B.Arch./B.Planning etc. Also, candidates who registered for certification equivalent to B.E./B.Tech from any of the professional societies will also be eligible for GATE. Note that this is the eligibility criteria for GATE 2021 if you have to appear after this then you have the check the detailed criteria at that time.
Note that these eligibility criteria are just for GATE examination, criteria for admissions into M.Tech courses at different IITs will be decided separately.
For more details refer to the link given below :-
https://engineering.careers360.com/articles/gate-eligibility-criteria
I hope this information helps you.
Good Luck!!
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