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Question

The university needs to appoint a new Vice Chancellor which will be based on seniority. Ms. West is less senior to Mr. North but more senior to Ms. East. Mr. South is senior to Ms. West but junior to Mr. North. If the senior-most declines the assignment, then who will be the new Vice Chancellor of the University?

The correct answer is
Mr. South

Determining Vice Chancellor Seniority Order

We need to establish the seniority order based on the given statements:

  • Ms. West is less senior to Mr. North: Mr. North > Ms. West
  • Ms. West is more senior to Ms. East: Ms. West > Ms. East
  • Mr. South is senior to Ms. West: Mr. South > Ms. West
  • Mr. South is junior to Mr. North: Mr. North > Mr. South

Establishing the Complete Seniority Ranking

Combining the relationships:

  • From Mr. North > Ms. West and Mr. North > Mr. South.
  • From Mr. South > Ms. West.
  • Combining these gives: Mr. North > Mr. South > Ms. West.
  • Adding Ms. West > Ms. East, the full order is: Mr. North > Mr. South > Ms. West > Ms. East.

The most senior person is Mr. North.

Identifying the New Vice Chancellor

The question states that if the senior-most person declines, the next person in line will be appointed.

The seniority order is:

  1. Mr. North (Senior-most)
  2. Mr. South
  3. Ms. West
  4. Ms. East

If Mr. North declines, the next most senior person is Mr. South.

Therefore, Mr. South will be the new Vice Chancellor.

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Important Questions from Ordering and Ranking (Notes)

  1. Rakesh is 17th from the right and Ankit is 15th from the left in a line of students. If they interchange their places, the position of Ankit becomes 19th from the left. How many students are there in the line ?
  2. 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?

  3. A ranks 10th from both the top and the bottom in merit among the girls in her class. B ranks 6th from the top and 16th from the bottom among boys in the same class. If A is immediately ahead of B in merit order, her rank in the entire class would be
  4. Seven boxes, A, B, C, D, E, F and G, are kept one over the other but not necessarily in the same order. Only two boxes are kept below E. Only one box is kept above D. Only one box is kept between D and B. G is kept immediately above C. F is kept at some place below A. How many boxes are kept below A?
  5. Among five toys in a store, toy V is taller than toy M, but not as tall as toy R. Toy J is taller than toy D, but shorter than toy M. Which toy is the tallest in the store?
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