Hello Aspirant,
Getting admission into a good college depends on various factors like your score or rank , your category, seat availability at the institute, exam difficulty level , etc.
You can use our college predictor link given below to view the available colleges fir you on your TNEA rank,
https://engineering.careers360.com/tnea-college-predictor?icn=TNEA_clgpd&ici=TNEA_article_view_text-mapping
For seeing the participating institutes for TNEA, you can see the following link,
https://engineering.careers360.com/articles/tnea-participating-institutes
Some of these are government college while some are private ones.
It is difficult to say whether you may get admission into Anna University, because it's cutoff trends vary each year depending upon seat availability and category. It the also the same for madras institute of Technology .
Good luck
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