Hi, you have not mentioned which category you belong to, assuming that you belong to general category with 60000 rank it is difficult to get seat in IITs. You should qualify in JEE Mains to get seat in IITs. By luck if you get seat also you may not get seat in top branches. You can boost your rank by using rank booster, below I have provided you with the link.

https://learn.careers360.com/jee-main-rank-booster/?icn=QnA&ici=qna_answer

This year expected cut-off:

Common Rank List (CRL) - 90- 95
GEN-EWS - 70- 75
Other Backward Classes (OBC-NCL) - 70- 75
Scheduled Caste (SC) - 50- 55
Scheduled Tribe (ST) - 40- 45
PwD - 1-2

Previous year's cut-off:

Common Rank List (CRL) - 90.3765335
GEN-EWS - 70.2435518
Other Backward Classes (OBC-NCL) - 72.8887969

In below links you can find the cut-offs for top colleges.

https://josaa.nic.in/Result/Result/currentorcr.aspx

https://engineering.careers360.com/articles/jee-main-cutoff

To know which colleges you get for your percentile use below college predictor link.

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

All The Best!!

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