XAT

1. TA Pai Management Institute.
2. Fore School of Management - New Delhi.
3. Goa Institute of Management (GIM).
4. Institute of Management Technology (IMT) – Ghaziabad.
5. KJ Somaiya Institute of Management Studies and Research (SIMSR) – Mumbai.
6. Loyola Institute of Business Administration (LIBA) – Chennai.
7. Birla Institute of Management Technology (BIMTECH) – Noida.
8. Great Lakes Institute of Management – Chennai.

20 marks in XAT will have percentile around 60-65. It also depends on other student's performance too.

No sectional cutoff as such but have to get above 80 percentile.

Below mentioned are the best colleges in India:
1. XLRI.
2. TISS.
3. SCMHRD, etc.
Apart from these colleges, IIMS and other colleges are good for HR.
Best of luck.

IMT Nagpur requires you to appear for atleast one of CAT, XAT , CMAT and clear the cut offs and rounds of interview. If you have not appeared for any of the 3 exams then I am sorry you cannot take admission in this college this year. You can definitely try next year.
All the best!

Minimum of 6 months are required for complete in-depth preparation along with mock tests and revision, it also depends on your caliber and grasping power of concepts and rectification of mistakes.

Welingkar accepts CET score and they have all India quota for which you can apply through CAT, XAT, CMAT, ATMA, etc. They consider cumulative ranking.

XAT cut-off is around 75+ percentile for IMT Nagpur.
All the best!

You can't apply, when you are filling the form there is an option in the form itself so you missed that chance, and you can apply for other colleges affiliated to XAT.
All the best!

You can go for the books of McGraw Hill publications.