XAT

Yes, you are eligible. You need to get 85+ percentile in CAT and 80+ in XAT.

Yes, many colleges take admission on the basis of graduation marks like NDIM, IPE, IT Navi Mumbai and JIMS Rohini. These colleges only want 50% in graduation.

Almost the syllabus is same! The difference is difficulty of questions! CAT questions is more difficult than other!
Good Luck!

To get a good MBA, colleges try for a 60+ score. But, there are colleges who take in candidates who scored around 50. so try aiming for more to get better colleges.
All the best.

I think there are only few good colleges in India who except below 50% in graduation, but you can get some good ones through hunting and even through reservations.

XAT exam is for getting admission in post graduation. XLRI Jamshedpur offers the following management programmes:-
Business Management (BM)
Human Resource Management (HRM)
General Management Programme (GMP). .

Essay Writing section has been removed. Now, the exam has four sections. They are Verbal and Logical Ability (VA & LR), Decision Making (DM), Quantitative Aptitude and Data Interpretation (QA & DI), General Knowledge (GK). As such no time limit is set for one question. There would be 74 questions of

Yes, you may apply for XAT exam, but you need to produce your certificate at the time of admission.

Some of the top colleges accepting XAT score-
XLRI Xavier School of Management, Jamshedpur
SPJIMR, Mumbai
TA Pai Management Institute, Manipal
Great Lakes Institute of Management, Chennai
Institute of Management Technology, Ghaziabad
Xavier Institute of Management, Xavier University, Bhubaneswar
Institute