IIM Indore - Indian Institute of Management

Yes definitely, IIM Indore has very well organised examination and you would need minimum of 4-5 hours of preparation daily with minimum 10 mock exams to score well.

You would need to appear for CAT with minimum 90-95+ Percentile to get admissions into top 7 IIMs plus valid Graduation degree with minimum 50% marks for sure.

If you have not appeared in CAT then you can not get admission in IIM, Indore. You are advised to appear for CAT 2017 which will be held in November end December beginning.

Yes, international opportunities into summer's internship have been offered over years as well as student exchange programme is offered. XLRI is more recommended for international internship.

TIME, CPLC are the best coaching institutes for CAT and all other entrance exam preparation, following by GDPI preparation which is very important.

Refer Shiksha website for your question:
https://www.shiksha.com/mba/exam/cat

It depends a lot on the college. For eg. MBA from an IIM will clearly hold more value. In addition to that, MBA is a more widely recognised course.

Get a clear idea of what the syllabus is. I hope you know that the exam consists of Quant, LR/DI, and English. Start practising. There are a lot of books available. Give time to all the four and to get an idea of the difficulty level of each, solve the previous years CAT questions. You can choose to take the test series of any coaching institute, later, if you think you need it.