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 person has a unique income ...
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 person has a unique 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.
- N lives on a floor above Q.
- Neither O nor M earns 9000.
- Q does not earn 7500.
Question: How much income does R have?