My air rank 7067 general cat.which niit and branch suitable and high chance of admission .my home state rajasthan.

Hi aspirant, below i will mention some nits you have good chances of converting.

Nit kolkata for etrx(up to 2nd round)
Nit Nagpur for extc(2nd round)
Nit Rourkela for mechanical,etrx(1st round),
Nit Allahabad for mechanical,extc, etrx(1st round)
Dr br  ambedkar nit jalandhar for cse (1st round)
Punjab engineering college(cse)  1st round
Nit warangal( mechanical possible in later rounds)
Nit durgapur for cse(1st round)
Nit goa for cse (1st round)
Nit kurukshetra for IT(1st round)
Nit jaipur  for extc (2nd round) etrx(1st)
Nut jamshedpur for cse(1st round)
Jamia milia islamia delhi for mech (1st round)
Rest new nits and iiits you can convert.  You can get the detailed information from the following college predictor. Since you have a good percentile, don't take any risk while choosing colleges, you can get the predictor in below link.
https://engineering.careers360.com/jee-main-college-predictor