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Dear Sameer,
67.33 is a good score in GATE EE 2019, congratulations on that.
For PSUs, this is a decent score, and yes you have very good chances to get into a PSU, but it majorly depends from PSU to PSU cutoff.
As per career360 rank predictor, you GATE Score is 750+,
https://engineering.careers360.com/gate-score-predictor
Few of PSUs you can get into are
> ONGC
https://engineering.careers360.com/articles/ongc-recruitment-through-gate
> NTPC
https://engineering.careers360.com/articles/ntpc-recruitment-through-gate
> IOCL, Powergrid etc.
you can check your eligiblity by going onto career360.com
Coming to colleges, it totally depends in the branch you want to get admission into, but the top pics would be IIT Kgp Microelectronics and VLSI, IIT Roorkee VLSI.
You can find the details in the link below
https://engineering.careers360.com/articles/gate-cutoff-for-ee
Let me know if anything else is required.
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