Ask Social Security Questions and Get Answers ASAP
It is unclear what is missing on your card, Across the top of a SS card is written "SOCIAL SECURITY" over the two columns on each side.
If your card was mutilated or cropped in such a way that the words are not there then that would be a reason for the DMV to question it.
There is no new card that has changed but you can request a replacement card.
You can use a my Social Security account to request a replacement Social Security card online if you:
You can set up the SSA account here
Other than a mutilated card I cannot understand what they wanted from you.