Colleges in Ahmedabad

You need to put some additional effort for VA section. For other sections i would suggest you to go through the basics in couple of months and start practicing questions. In case of VA, the basics of English, tenses, usage can be learnt from basic reading material provided by CAT prep books. After than i would suggest you to practice RC from readtheory.org where you can build you reading comprehension skills with time. After gaining a bare threshold, start giving mocks, analyze them and repeat till the D-Day.
All the best

Target a CAT score of above 95 percentile if you want to get into top 25 B-schools in India. Usually, IIMs do not provide specialization and give a diploma in General Management. You will get a PGDM/MBA degree from such colleges. While colleges like S.P Jain gives MBA/PGDM with Marketing/Finance/Operations specialization.

It's all about justifying the gap. If you have any genuine reason and you are able to justify it, then no problem.

Both the campus of IBS is best but specialization in operations management is not offered by Ahmadabad branch. So, I will suggest Mumbai campus for your interest.
Thank you.

Yes, you can. Refer the selection criteria for IIM A for further details.

Yes, ICFAI is one of the best institutes. It has a good curriculum. Apart ICFAI, you can also check with IGNOU and Pondicherry University.

ICFAI is better and more relevant to the current industry. The ICFAI has a better record than Annamalai. You should go for ICFAI, though is a little tough to get admission in the same.

As far as IIM- A is concerned, yes. For some private colleges which have management seats, it might be optional. I would suggest you to talk to the respective colleges personally & go through the respective admission criteria.