What happens when the organization-wide default of an object is set to be controlled by the parent?

Answer options:

A.Sharing Rules are calculated
B.Access to the records is determined through the user access to the parent record
C.Sharing Rules are not available for the object
D.Access to the records is determined through the permission set

Correct Answer: B and C 
When the organization-wide default is set to be controlled by the parent, the access of the records is determined by the user’s access to the parent record. In addition to this, sharing rules are not available for the object. 
Option A is incorrect because sharing rules are not available for objects that have organization-wide default controlled by the parent. 
Option D is incorrect because permission sets provide access to objects, not records. 
References:

https://help.salesforce.com/articleView?id=security_sharing_owd_about.htm&type=5

Correct Answer: B and C 
When the organization-wide default is set to be controlled by the parent, the access of the records is determined by the user’s access to the parent record. In addition to this, sharing rules are not available for the object. 
Option A is incorrect because sharing rules are not available for objects that have organization-wide default controlled by the parent. 
Option D is incorrect because permission sets provide access to objects, not records. 
References:

https://help.salesforce.com/articleView?id=000324018&language=en_US&type=1

Correct Answer: B and C 
When the organization-wide default is set to be controlled by the parent, the access of the records is determined by the user’s access to the parent record. In addition to this, sharing rules are not available for the object. 
Option A is incorrect because sharing rules are not available for objects that have organization-wide default controlled by the parent. 
Option D is incorrect because permission sets provide access to objects, not records. 
References:

https://success.salesforce.com/answers?id=9063A0000019WOMQA2