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Four travellers, V, W, X, and Y, visited cities on 7th, 9th, 11th, and 13th December. X visited before W; Y visited immediately after V; V did not visit on the 7th; W did not visit on the 13th. Who visited on the 11th?
V
W
X
Y
V
Map the fixed constraints (V, Y pair; W not on 13th) to the dates; the remaining slots will force X into the first position.
Map the fixed constraints (V, Y pair; W not on 13th) to the dates; the remaining slots will force X into the first position.
Establish the constraints
Dates are 7th, 9th, 11th, 13th. Constraints: 1) Y is immediately after V (VY block), 2) X is before W, 3) V is not on 7th, 4) W is not on 13th.
Place the VY block
Since V cannot be on 7th and VY must be consecutive dates, VY can be on (9th, 11th) or (11th, 13th). If VY is (11th, 13th), then X and W must occupy 7th and 9th. Since X is before W, X would be 7th and W would be 9th. This satisfies all conditions (X before W, W not on 13th, V not on 7th).
Final verification
Arrangement: 7th=X, 9th=W, 11th=V, 13th=Y. Check: X(7) before W(9) - OK; Y(13) after V(11) - OK; V(11) not on 7th - OK; W(9) not on 13th - OK.
B: W must be on the 9th to allow X to visit before it and fit the remaining pair, C: X must be on the 7th to precede W, D: Y is on the 13th, the last date, because it must follow V.
A is correct because when placing the VY pair on the 11th and 13th, X and W must fill the 7th and 9th respectively to satisfy all conditions.
In scheduling puzzles, always identify the 'block' of items that must stay together first, then use negative constraints to prune remaining possibilities.
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