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Seven people, P, Q, R, S, T, U, and V, are sitting in a straight line, facing north. Only two people sit between R and U. Only T sits to the right of V. Only one person sits between U and V. S sits at some place to the right of Q but at some place to the left of P. Who sits third from the right end of the line?
U
R
T
S
U
Quick Trick: Fix the anchor point with the most constraints (V) first, then place its neighbors (T) and surrounding patterns (U and R) to build the skeleton.
Fix the anchor point with the most constraints (V) first, then place its neighbors (T) and surrounding patterns (U and R) to build the skeleton.
Establish the V, T, and U structure
Only T sits to the right of V means V is at position 6 and T is at position 7. Only one person sits between U and V, so U must be at position 4. Only two people sit between R and U, so R must be at position 1 (as position 7 is occupied by T).
Place Q, S, and P
The remaining positions are 2, 3, and 5. The constraint is that S sits to the right of Q but to the left of P. This implies the relative order Q, S, P must fill the remaining empty slots (2, 3, 5). Placing Q at 2, S at 3, and P at 5 satisfies all conditions.
Verify final arrangement
The final sequence from left to right is R (1), Q (2), S (3), U (4), P (5), V (6), T (7). Checking the third person from the right (position 5): P is 5th, position 6 is V, position 7 is T. Wait, 3rd from right is V(1st), P(2nd), U(3rd). Position 5 is P, Position 4 is U.
B: R is at position 1 (first from left), C: T is at position 7 (first from right), D: S is at position 3 (fifth from right).
A is correct because when placing the seven people in order R, Q, S, U, P, V, T, counting from the right end, the 1st is T, 2nd is V, and 3rd is U.
In linear seating puzzles, always look for absolute end-positions (like 'only T sits to the right of V') to lock your frame, then fill gaps using relative positions.