Seven people M, N, O, P, Q, R, and S live on seven different floors of a building numbered 1 to 7 from bottom to top. Each has a distinct income from ...

Question

Seven people M, N, O, P, Q, R, and S live on seven different floors of a building numbered 1 to 7 from bottom to top. Each has a distinct income from the set {3500, 15000, 7500, 9000, 11000, 13500, 5000}. The following conditions apply:

  • 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, with N living above Q.
  • Neither O nor M earns 9000.
  • Q does not earn 7500.

Question: What is the income of M?

Options

A.

$13500$

B.

$5000$

C.

$7500$

D.

$15000$

E.

$3500$

floor arrangementincome puzzlelogical reasoningseating arrangement

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