We need to establish the seniority order based on the given statements:
Combining the relationships:
The most senior person is Mr. North.
The question states that if the senior-most person declines, the next person in line will be appointed.
The seniority order is:
If Mr. North declines, the next most senior person is Mr. South.
Therefore, Mr. South will be the new Vice Chancellor.
Each of P, Q, R, S, T, U and V has an exam on a different day of a week, starting from Monday and ending on Sunday of the same week. U has an exam on Friday. Only 2 people have exams between U and R. V has an exam immediately before Q and T has an exam immediately after S. Only 2 people have exams between P and Q. Who has an exam on Sunday?