10. Suppose that $A, B, C$ are three teachers working in three different schools $X, Y, Z$ and specializing in three different subjects: Mathematics, Latin and Music. It is known that
(i) A does not teach Mathematics and $B$ does not work in school $Z$;
(ii) The teacher in school $Z$ teaches Music;
(iii) The teacher in school $X$ does not teach Latin;
(iv) $B$ does not teach Mathematics.
Which of the following statement is correct?
(A) $B$ works in school $X$ and $C$ works in school $Y$;
(B) A teaches Latin and works in school $Z$;
(C) $B$ teaches Latin and works in school $Y$;
(D) A teaches Music and $C$ teaches Latin;
(E) None of the above.
10. Answer: (C).
The assignment is as follows:
A: in $Z$, teaches Music; $B$ : in $Y$, teaches Latin; $C$ : in $X$, teaches Mathematics.