SMO 2012 Junior Round 1 Question 10

Question 10

Teachers $A,B,C$ work in different schools $X,Y,Z$ and specialize in different subjects: Mathematics, Latin and Music. It is known that:
(i) $A$ does not teach Mathematics and $B$ does not work in $Z$;
(ii) the teacher in $Z$ teaches Music;
(iii) the teacher in $X$ does not teach Latin;
(iv) $B$ does not teach Mathematics.
Which statement is correct?

B works in X and C works in Y.
A teaches Latin and works in Z.
B teaches Latin and works in Y.
A teaches Music and C teaches Latin.
None of the above.