What should I choose NIT Allahabad production, NIT Bhopal chemical or NIT Raipur electrical?

Irrespective of whichever branch you are getting the preference order for the aforementioned NITs is NIT A > NIT B > NIT R. 

However, your interest plays a big role in determining the right branch for you. Some choose a branch they are genuinely interested in while some go for a branch that provides better opportunities. 

In the first case, their passion leads them in their career while in the second case, the plethora of opportunities will be the guiding light. Students are in general confused about choosing a good college over a good branch or vice versa. I will advise you to always prioritize your interests in that case because you will have to pursue that field not just for 4 years of graduation but throughout life. 

Here is a brief overview of these colleges:

However, not everyone is lucky to get what they desire. So if you end up in a branch you have no interest in, then try to gain interest slowly.