IIM Calcutta - Indian Institute of Management

You can sit in the CAT 2022 exam. You are eligible for admission in IIMs.

The IIM Calcutta has not released the final cutoff but last year cutoff was gone to 105 marks so this year also it is said to have from 100 to 105 marks itself.

You can consider the following:
https://www.shiksha.com/college/iimc-indian-institute-of-mass-communication-qutab-institutional-area-delhi-2974/cutoff

To get admitted into any Iims or any Top MBA colleges in India, the minimum CAT 2022 cutoff is expected to be 90 percentile. Those who secured the 99+ percentile can apply to top Iims like IIM Bangalore, IIM Ahmedabad, IIM Lucknow, IIM Calcutta, and IIM Kozhikode.

Your marks in all of your academic careers are good enough.
What matters is how much you can score in your MBA entrance examinations. The higher you score, the better chances you have to make it to some of the best B-Schools in the country.

As an OBC category student to get calls from top Iims like IIM A, B, and C you need to have above 98+ percentile. For other old Iims like IIM K, L, and I.You need to have above 95+ percentile and 97+ to increase the probability of your conversion.

Yes, you can get into IIMs. However old IIMs are going to be difficult, you can definitely aim for new and baby IIMs.
You need to score high in CAT.
You should also sit for other exams like IIFT XAT SNAP etc.

You can refer to the link given below-
https://www.shiksha.com/college/indian-institute-of-management-calcutta-joka-Kolkata-20190

Yes, of course, you can work anywhere in the world after completing your MBA degree with a specialisation in any stream in India. Hope it helps.

May be not into IIMB (they emphasis more on academic grades), but other Iims can surely shortlist you if you have good grades in other academic classes and CAT percentile. Moreover if you are other than gen male engineering. , then you have more chances of getting calls from Iims.