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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. The sixth largest three-digit odd number among those with all digits distinct is
  2. A transformation experiment is performed with two Pneumococcal strains. One strain is resistant to four drugs - A, B, C, and D, whereas the other is sensitive to all the drugs. Both strains are mixed and the mixture is plated on media containing various combinations of the drugs. The colonies obtained on these plates are given below:
    Drugs added No. of colonies Drugs added No. of colonies
    A 1156 CD 786
    B 1148 ABC 30
    C 1161 ABD 42
    D 1139 ACD 630
    AB 46 BCD 36
    AC 640 ABCD 30
    AD 942
    BC 51

    Based on the above results, which one of the below options represents the most likely order of the drug-resistance genes?
  3. There are five boys P, Q, R, S and T sitting in a row facing North such that P is right of Q and T is left of R and right of P. Q is right of S. Which boy is in the middle of the row?
  4. 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. Q has an exam on Thursday and U has an exam on Saturday. T has an exam immediately before S. P has an exam on one of the days after V. R has an exam immediately after S. How many people have exams between R and P?

  5. Among five people of different ages, P is older than R. L is younger than M. R is older than Y. M is younger than Y. Who is the youngest?
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