Jharkhand

You may get into BIT Ranchi or NIT Jamshedpur.

Eligibility criteria for appearing in XAT to seek admission in XLRI is a recognised Bachelor's degree of minimum three years duration or equivalent in any discipline. Those students who are completing their final examination by June in the year of start of MBA degree at XLRI are also eligible to appear for XAT.

BIT Mesra CSE department is ranked 20 in All India ranking. It is a better option among your choices.

Yes, chances look decent. You can get decent and average colleges but not the best ones. All the best.

Certainly, it is not recommended. I have not even heard a brand and does not carry any great career prospects. You can look for top 30 MBA colleges only, else it is not worth doing MBA.

680 is a very good score, but you have less chances as they call at 700+ scores for GMAT. Fees for two years is around 17 lakhs.

IIM – B is the better option.