Greetings!
Firstly congratulations! you have got really good colleges! Now coming to comparison
Now there are some factors you need to consider, first and foremost is if you are getting better branch in any of these two, just go for it, no need to see further comparison at all, now considering you have same branches in both let's proceed forward.
The final decision has to be taken by you, I would leave you with pros and cons, and believe me there isn't much difference in both of them, the main differences mainly form the fact that one is state funded and other is national funded.
Now Jadavpur has some really good advantages, firstly it is way cheaper than any NIT/IIT you can almost say that four year degree in Jadavpur is for free! Secondly Jadavpur is an older university when compared to NIT Warangal, in fact it is one of the oldest ones in India!
Research and Placements for both are going to be almost same.
But Enough of pros of Jadavpur, let's come to cons, firstly Jadavpur has very bad infrastructure when compared to NIT warangal, so if you were coming for sky high buildings with best cleanliness, I would suggest you to keep your expectations a bit low. Secondly in recent years Jadavpur is suffering from funding problems, and it is not hidden from anyone, now I am not saying that it is going to collapse or something but yes that is a factor to consider.
Overall I would say if you want to save money and have complete freedom in life go for Jadavpur, however if you want to enjoy your college life and be part of clubs and chapters than I would suggest NIT warangle, that is the only call you have to make, for placements you can be rest assured that you aren't going to regret any of these two
College Comparison based on Courses, Placement, Rank, Fee
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