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Four people, P, Q, R, and S, live on floors 1-4. S is immediately below Q; P is not on floor 4; S is exactly two floors above R. Who lives on floor 1?
S
Q
R
P
R
Represent floors 4-3-2-1 and fix the 'S is two floors above R' anchor (S at 3, R at 1) to immediately satisfy all constraints.
Represent floors 4-3-2-1 and fix the 'S is two floors above R' anchor (S at 3, R at 1) to immediately satisfy all constraints.
Establish the floor structure
We have 4 floors. Constraint 1: S is immediately below Q. Constraint 2: S is exactly two floors above R (This means there is one floor between S and R). Constraint 3: P is not on floor 4.
Placement
If S is two floors above R, the possible pairs are (S=3, R=1) or (S=4, R=2). If S=4, Q must be on floor 5 (impossible). Thus, S must be on floor 3 and R on floor 1. Since S is immediately below Q, Q must be on floor 4. This leaves P for floor 2. The final order is Q(4), P(3), S(2)... Wait, let us re-verify: S=3, R=1, Q=4 (S below Q). Remaining: P=2.
Verification
Check constraints: Floor 4: Q, Floor 3: S, Floor 2: P, Floor 1: R. S is immediately below Q (Correct). P is not on floor 4 (Correct). S is two floors above R (3rd floor - 1st floor = 2 floors, Correct). Floor 1 is R.
A: S is on floor 3, not floor 1. B: Q is on floor 4, not floor 1. D: P is on floor 2, not floor 1.
C is correct because placing S on floor 3 and Q on floor 4 satisfies the 'immediately below' condition, leaving R to occupy floor 1.
In floor-based puzzles, always place the most constrained variable first or find the 'anchor' (the distance-based constraint like 'two floors above').
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