B.E.

It is difficult to predict the marks as for now results only percentile score is released. If you want you can calculate the percentile rank. But no formula is there to predict the marks. Use this formula to predict the rank:
Rank Formula = (100 - your total score) X 145386 /100. Your rank may differ from the official cutoff and results which were released on the month of April by national testing agency NTA officially. You have to wait for the official results.

SIMS pune is best in terms of average placement.

Yes entrance exam. Foreign students quota is required

Yes, you can apply for doing BE through part time, which is there in particular selected colleges like VIT, Chennai, Punjab.

Now, CAT percentile has raised to 84-85 for PGDM General. For Research and business analytics course and logistics and supply chain management course, CAT cut-off is lower.

Pre-requisite are under graduate degree from a recognized University, minimum 50% marks, and there is no age limit. That's it.

Yes, you can pursue B.Tech or BE in Karnataka after your Diploma from West Bengal. Not even Karnataka, you can take admission all over the India. The syllabus of the exam for computer Science can vary from university to university. So, please specify from which university's syllabus you want.

Hello,Any student other than those belonging to Karnataka also can pursue their Bachelor of engineering courses in the state of Karnataka. The only restriction is government colleges or government aided colleges. They restrict admissions to students who belong to Karnataka and who had given KCET examination. For privately funded colleges a different examination called COMEDK is conducted and you can get admission to non-aided private Engineering Colleges through this test. There are many Deemed to be universities in Karnataka also which conduct their own examination on an all India basis. Best wishes to you.