Hi Abhudya, I am sorry I am not getting your doubt properly. The questions has given equilibarium allocation and asks for possible endownments.
Now since his utility is trying to maximize his minimum it is clearly being done by chosing (6,1) over (7,0) and (4,4) over (3,5).
I am not sure if I have answered your questions.
Also can you tell me, how you approach such questions in which price is to be determined for an eqb allocation?
Have Fun :)