Hello there,
Everyone in my dorm parks their car in lot B.
I hope I understood the question correctly.This was a tricky question. I believe that "their" would be your correct answer because . .
→ The word "Their" mean's: to have possession. In the statement above. It clearly state's that everyone has "their" individual car, and they parked "their" car in lot B.
→ The other's word's that sound like "their" are (there and they're). So the word "there" mean's at a location. For example: "Jurgen was there at the bowling alley." And the word "they're" mean's "they are". So this would not have gone in that sentence.
Everyone in my dorm parks their car in lot B.
Hope this helps.
~Jurgen