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Hi Keerthana.
With this rank, I don't think you will get admission in BIT Mesra, as the cutoff are above 50000. And, if you ask about PSG and BIT, both are really good colleges. Admission to PSG is through TNEA, but you can't get there through TNEA, as there is no other state quota in PSG. To get there, you will have to go for management quota.
Good Luck.
hii
kerthana i m sorry to say that its not possible to get the colleges you have told as the rank is high, but you will get the non core branches there will give try if you are interested
while there are multiple colleges accepting the mains score
https://engineering.careers360.com/colleges/ranking/top-engineering-colleges-in-India-accepting-jee-main-score
all the best
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