M, N, O, P, Q, R, and S live on seven different floors of a building numbered from 1 (lowest) to 7 (highest). Each person has a distinct income from t...

Question

M, N, O, P, Q, R, and S live on seven different floors of a building numbered from 1 (lowest) to 7 (highest). Each person has a distinct income from the set {3500, 15000, 7500, 9000, 11000, 13500, 5000}, but not necessarily in the same order.

Given clues:

  • M lives on an odd-numbered floor but not on floor 3.
  • The person earning 11000 lives immediately above M.
  • Exactly two people live between M and the person earning 7500.
  • The person earning 15000 lives on an odd-numbered floor above P.
  • Exactly three people live between O and the person earning 15000.
  • The person earning 7500 lives immediately above O.
  • R earns 4000 more than Q.
  • The person earning 3500 lives immediately above the person earning 5000.
  • Exactly one person lives between N and Q, and N lives above Q.
  • Neither O nor M earns 9000.
  • Q does not earn 7500.

Question: Which of the following income-person combinations is correct based on the above arrangement?

Options

A.

(a) 13500O13500 - O

B.

(b) 15000R15000 - R

C.

(c) 5000S5000 - S

D.

(d) 11000P11000 - P

E.

(e) 9000N9000 - N

floor puzzleincome arrangementlogical reasoningseating arrangement

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