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Hello,
If you able to secure the rank which you have mentioned than you will surely have a lot of opportunities and also you can apply in any best IIT you are willing to only in IIT Bombay will be difficult as it currently the best IIT and has a very very high cutoffs but definitely in this rank you can get Mechanical, Civil, Electrical and many more branches so ultimately you will have a lot choices after that you can easily select the best one for you.
Thank you..
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