What is the correct sentence she asked you what your name was or she asked your what your name is?

Answer 1

Either "She asked you what your name was" or "She asked your what your name is" could be correct, depending on the context. If the unspecified "she" has reason to believe that you have used a different name in the past than one that she now knows, the first sentence would be correct. This would probably happen most often when a married woman is introduced in a culture in which women often change their names to match their husband's name, but it could also occur when someone is thought to be using a stage name or pen name, or in England when a person has been given or has inherited a title during his lifetime. Otherwise, the second sentence would be correct.

Answer 2

The correct sentence is "She asked you what your name was." The past tense "was" is used because the question was asked in the past, even though the content of the question (the name) is still current.