Question

G, K, M, P, S and V live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, number 2 and so on till the topmost floor is numbered 6. G lives on floor number 3. Only one person lives between G and M. As many people live below K as above M. P lives immediately below S. How many people live above P?

• A. Two
• B. Four
• C. One
• D. Three

Answer 1

Answer:

A. Two

There are two people who live above P.

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Let us arrange the residents from floor 6 (topmost) down to floor 1 (lowermost) based on the clues provided:

1. G lives on floor number 3.

   • Floor 3 = G

2. Only one person lives between G and M.

   • This gives us two possibilities for M: Floor 5 or Floor 1.

   • Let's test Floor 1 first: Floor 1 = M.

3. As many people live below K as above M.

   • If M is on Floor 1, there are 5 people living above M (on floors 2, 3, 4, 5, and 6).

   • Therefore, there must be 5 people living below K. This places K on the topmost floor.

   • Floor 6 = K

4. P lives immediately below S.

   • We have floors 5, 4, and 2 vacant.

   • Since P must be directly underneath S, they need two consecutive open floors. The only consecutive empty slots remaining are Floor 5 and Floor 4.

   • Floor 5 = S

   • Floor 4 = P

5. Fill the remaining spot:

   • The only remaining floor is Floor 2, which goes to the final person, V

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Final Floor Arrangement

• Floor 6: K

• Floor 5: S

• Floor 4: P

• Floor 3: G

• Floor 2: V

• Floor 1: M

Looking at Floor 4, the people living above P are S and K (exactly 2 people).