Dear Candidate, with your score at 240 it's difficult for you to get admission into IITs, but in NITs it can be a long shot, although there may be a slim chance for you too in NITs. For PSUs, the chances are slim because PSUs also consider the aggregate of your engineering degree while interviewing candidates. There are many factors they look at before recruiting. Either ways you didn't mention your stream for which you are applying for. We will provide you with the College Predictor for you based on your Gate Score. Hopefully it will be helpful to you.

Link :- https://engineering.careers360.com/gate-college-predictor

Hope it helps. Thank You.