M, N, O, P, Q, R, and S live on seven different floors of a building numbered from 1 (lowest) to 7 (top). Each has a unique income from the set {3500,...

Question

M, N, O, P, Q, R, and S live on seven different floors of a building numbered from 1 (lowest) to 7 (top). Each has a unique income from the set {3500, 15000, 7500, 9000, 11000, 13500, 5000}, but not necessarily in the same order. 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: Which of the following statements is true based on the above arrangement?

Options

A.

The one who has income of $5000\ lives immediately below M.

B.

R has income of $15000.

C.

None of the given options is true.

D.

Only four people live between P and S.

E.

S lives immediately below Q.

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