If one left his house (he was not Me'arev), he forbids people of his Chatzer.

1.   ?    True.
2.   ?    False, he likely won't return.
3.   ?    False, he likely won't return even if he is in the city.
4.   ?    It is Asur unless he leaves the city.
5.   ?    Machlokes all the above.

If a Nochri leaves his house he forbids people of his Chatzer.

1.   ?    Asur, he has Reshus in the Chatzer.
2.   ?    Asur, he may come back.
3.   ?    Mutar if he left the city.
4.   ?    Mutar even within the city.
5.   ?    Machlokes all of the above.

A widow from Erusin ________ .

1.   ?    may marry immediately.
2.   ?    must wait 30 days.
3.   ?    must wait 3 months.
4.   ?    Machlokes A&B&C.
5.   ?    Teiku.

A Kohen may become Tamei [mid'Rabanan] to learn Torah .

1.   ?    True.
2.   ?    False.
3.   ?    Only if he can't find a Rebbi in Eretz Yisroel.
4.   ?    Safek.
5.   ?    Machlokes A&C.

These Klalim only apply to Mishnayos, not to Beraisas.

1.   ?    True.
2.   ?    False.
3.   ?    Safek.
4.   ?    Machlokes A&B.
5.   ?    Machlokes A&C.

A Nochri's Keli acquires Shevisah.

1.   ?    כחפצי הפקר Koneh.
2.   ?    כחפצי הפקר Koneh.
3.   ?    Koneh Gezeira of Yisroels.
4.   ?    Safek.
5.   ?    Machlokes A&B&C.