This Quiz focuses on 'these Questions of ours', as examples of expressing Demonstratives ('this/that' etc.) and Possession, in various combinations ~ so as to make sure you can pinpoint items and their owners, in order to avoid any potential embarrassment.
'Any' in Answer 4 makes equally little sense; nor do we know who the 'he' is (as in 'his': Answers 2 and 4).
This leaves Answer 3 ~ where the 'some old friend of yours' is better-known to the person being spoken to, than to the speaker (who apparently can't remember this person's name).