Exchange Administrator is unable to delete an Exchange AD object

Abstract: An Exchange administrator is unable to delete AD objects.

the admin might got errors like:

Action 'Remove' could not be performed on object 'test'.

or

Error: Active Directory operation failed on dc.int.contoso.com. This error is not retriable. Additional information: 

Access is denied. Active directory response: 00000005: SecErr: DSID:03152501, problem 4003 (INSUFF_ACCESS_RIGHTS), data 0

The user has insufficient access rights

or

You do not have sufficient privileges to delete test, or this object is protected from accidental deletions.

Possible Solution:

1.) Check the rights

2.) Make sure the object is not protected from accidental deletions