Read the following passage and solve the questions based on it.
To smoothen the procedure of grievances reprisal, a team of five members is being constituted by the top management. As per the procedures established, it has to provide representation to both the workers and the middle management. The team must have two representatives of the middle management, two representatives of the workers and one representative of the top management.
As per the availability of persons, we know that
(i) the middle management’s representatives must be chosen from X, Y and Z.
(ii) the workers’ representatives must be chosen from A, B and C.
(iii) the top management’s representative must be chosen from either J or K.
Owing to some geographical constraints, we know that
(iv) A cannot serve with C.
(v) Z cannot serve together with C.
(vi) Y cannot serve unless K is also in the team.
I. K is chosen II. Both X and Y are chosen to represent teachers III. J is chosen
If A and B are chosen to be the workers representatives, then which of the following statement(s) is/are true?
I. K is chosen
II. Both X and Y are chosen to represent teachers
III. J is chosen