JEE

Candidates applying for IT Hyderabad through JEE Mains have to satisfy the basic criterion of obtaining a minimum of 75% in Class 12 or must have passed the examination on the first attempt and must be within the 20th percentile of the Boards. Further, the candidate has to secure at least 60% aggregate to get into the University; 55% for candidates belonging to General and OBC categories; and 50% for SC/ST candidates.
To get admission to this college, students need to pass the JEE Main exam; the competition is quite severe in this institute. As for the popular courses such as B.Tech in Computer Science and Engineering (CSE), the percentile expected often ranges past 99.
Furthermore, candidates must have physics, chemistry or mathematics as core subjects in class XII. higher class results ensure that the students get the much-needed opportunities of getting admitted in the best branches.
 

If you have made the decision of studying chemical engineering then ICT Mumbai would be the best option you could have. 

ICT  have an edge due to its specialised focus.ICT mumbai is way better than NIT Trichy for chemical engineering on most of the parameters if you are truly interested in chemical engineering . ICT has way better exposure and research than NIT Trichy .Professors will mostly be better at ICT mumbai.

 NIT Trichy is better for CSE IT related branches .

Remember that ICT is an institution which specializes in chemical engineering and technology as it's name suggests .Go for it only if you are whole heartedly interested in chemical engineering .Do take an informed decision.

You might find it tough getting admission into the B. Tech IT program at Dwarkadas J. Sanghvi College of Engineering with an 89 percentile in the JEE since an expected cutoff for IT can be generally around 96 percentile or more for general category students.
Since you are applying under the Gujarati quota, which reserves 51% of the seats for Gujarati linguistic minority candidates, your chances might improve. The cutoff tends to be lower for Gujarati candidates, but the competition is not that weak. It would be advisable to look into the trends of the specific cutoffs for the current admission cycle and participate in the Maharashtra CAP counseling process for better insights.

A 92 percentile in JEE Mains can barely help you enter into an NIT, formulating a sweet proportion for' computer Science and electrical engineering branches. Well, there are still chances that you might get into some NITs and branches, even though they may be slightly messy in cutoffs or have lower openings with new institutions.

To improve your chances:

You aim for the new NITs or the ones with low cutoffs.
You can consider branches like Civil Engineering, Chemical Engineering, or Biotechnology, which have lower cut-offs as compared to core branches such as CSE or ECE. 
The final allocation of seats shall depend on your category of General, OBC, SC, etc., the opening and closing ranks and the NITs that you would be targeting. Keep watching the JoSAA counselling process to get the latest and most accurate information.

The chance of admission to a government college, given that your rank in JEE Mains is 213434, is very remote because the cut-off ranks to the government engineering colleges usually turn out much lower for them, more so in their popular branches. To exemplify this, it often lies within the cut-offs for general category students around 10,000 and 50,000 mark in NITs and IIITs respectively according to branches and college.
Cut off for government colleges in state like Madhya Pradesh and Uttar Pradesh is competitive yet may vary. According to the latest data, they require ranks much better than 213434 to even gain admission in government institutions, thereby you may have to get into private colleges or any other alternative if you actually want to pursue engineering.