The dates have been notified  in the official website of XAT Exam 2021 in the month of September. 

It has been notified that the XAT Exam registration process itself begins in September 2021 and it will continue till November, 2021. 

You would get the admit card on December, 2021. 

The official XAT Exam is actually scheduled to take place online on the 2

^nd

 of January, 2022. You’d get the results or your scores within the same month.