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Seven students, P, Q, R, S, T, U and V, are sitting in a row facing north. P sits at one of the extreme ends. Only two people sit between P and T. U sits to the immediate right of T. R sits third to the left of V. S is not sitting at any end. How many people are sitting between S and Q?
1
2
3
0
2
Fix the anchor element P at an end, then place the T-U block and the R-V gap to restrict S and Q.
Fix the anchor element P at an end, then place the T-U block and the R-V gap to restrict S and Q.
Establish the Arrangement
There are 7 seats. If P is at seat 1, then T must be at seat 4 (two people between P and T). U is to the immediate right of T, so U is at seat 5. R sits third to the left of V (R _ _ V), meaning R is at 2 and V is at 5 (impossible) OR R is at 3 and V is at 6 (valid). Current layout: P(1), R(2), T(3), U(4), V(6). Remaining: S and Q at 5 and 7. Since S is not at an end, S must be at 5 and Q at 7.
Verify S and Q distance
The final arrangement is P(1), R(2), T(3), U(4), S(5), V(6), Q(7). There is only one person (V) sitting between S (seat 5) and Q (seat 7).
B: 2 people between S and Q is incorrect as only V is between them. C: 3 people is incorrect as there is no such spacing. D: 0 people is incorrect as V separates them.
A is correct because the arrangement P, R, T, U, S, V, Q results in V being the only person sitting between S and Q.
When solving seating puzzles, always test both extreme ends for the person with the most constraints first to eliminate half the possibilities immediately.
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