1. Three sets, each with the same five tunes in the same order: Blue Hour, Hudson Stomp, Canal Street Ballad, Late Train, Last Call.
2. During each tune exactly one musician sits out behind the curtain. Each musician sits out exactly one tune per set.
3. In Set 2, everyone sits out one tune later than in Set 1 (whoever sat out Last Call in Set 1 sits out Blue Hour in Set 2). Set 3 is Set 2 in reverse: whoever sat out the first tune of Set 2 sits out the last tune of Set 3.
4. The green room door buzzer sounded once all night, during Canal Street Ballad in Set 2. Only someone behind the curtain could reach that door, and whoever opened it took the trumpet.
5. The thief lied. The other four told the truth.
Lou: “In Set 1, I sat out before Vera did.”
Nina: “In Set 3, I sat out on the tune right after Ray.”
Ray: “In Set 1, I sat out before Gus did.”
Vera: “In Set 3, Lou and I sat out on back-to-back tunes.”
Gus: “In Set 1, I sat out on the tune right after Nina.”
Who took the trumpet, and in what order did the five sit out in Set 1?
💡 Hint
Turn the shift and reversal rules into a table linking Set 1 slots to Set 3 slots. Then find two statements that cannot both be true: the liar is one of those two speakers.
Reveal answer
Gus, the guitarist, took the trumpet. In Set 1 the sit-out order was Ray, Gus, Lou, Vera, Nina.
Step-by-step solution
- Number the Set 1 slots 1 to 5. Set 2 moves everyone one slot later (5 wraps to 1), and Set 3 reverses Set 2. So Set 1 slots 1, 2, 3, 4, 5 become Set 3 slots 4, 3, 2, 1, 5.
- The buzzer rang during tune 3 of Set 2, so the thief is the person in slot 2 of Set 1.
- Nina’s statement says Nina is one slot after Ray in Set 3. In Set 1 terms: either Nina sits right before Ray, or Ray is slot 1 and Nina is slot 5.
- If Gus and Nina were both truthful, Gus is right after Nina in Set 1, so Nina is not slot 5 and sits right before Ray. Then Gus and Ray would both be right after Nina. Contradiction, so the liar is Gus or Nina.
- Suppose Nina is the thief, in slot 2. Then Gus is slot 3, Ray is slot 1, and Lou before Vera gives Lou 4, Vera 5. In Set 3 those are slots 1 and 5, not back to back, so Vera’s statement fails. Nina is innocent.
- So Gus is the thief, in slot 2. Ray is before him, so Ray is slot 1, and Nina’s statement puts Nina in slot 5. Lou before Vera gives Lou 3, Vera 4, which are back to back in Set 3. Order: Ray, Gus, Lou, Vera, Nina. Gus’s claim is false, as it must be. Code tested all 120 orders: this is the only one.
Why it fools people
The buzzer seems to hand you a name, but it only gives you a position in a schedule nobody has told you yet. The shift and reversal rules are the real engine: they let a clue about Set 3 act on Set 1, and the clash between Nina and Gus stays hidden until everything is in the same slots. Gus is guilty because the schedule forces him into that slot, not because of his manner.
Did you get it?
About This Puzzle
The Blue Hour is a basement jazz club in lower Manhattan, with a low ceiling, a crowded bar and a stage barely big enough for a piano. On a Friday night in March, a guest trumpeter named Mr. Carver left his horn in its case in the green room and went out to listen from the audience. By closing time the case was empty. The house band of five rotated off the stage all night, and the bartender heard one thing that matters.
How to Think About It
Begin by turning the rules for Sets 2 and 3 into one picture. Number the tunes 1 to 5 and write down where a Set 1 slot lands in Sets 2 and 3. Then every statement becomes a claim about Set 1 positions. Use the buzzer clue to tie the thief to a single Set 1 slot, and look for two statements that cannot both be true. A clash tells you who must be lying.
Common Traps
A common mistake is to treat the buzzer as proof of guilt before working out who was behind the curtain. Another is to solve each set alone, when the shift and reversal rules tie all three together. Some solvers pick Gus because his statement sounds weakest, but a weak statement is not a false one. The reliable method is to map the three sets, then test statements against each other.
Where This Puzzle Comes From
This is an original case built on the “liar and schedule” family of logic puzzles, where a fixed timetable and a handful of statements must be reconciled. Constraint puzzles like this grew popular in puzzle magazines in the 20th century, and Golden Age detective writers used timetables the same way, to give the reader every fact.
Try This Variation
Keep the order you found. Suppose Mr. Carver had left his trumpet in the green room too, and the buzzer had instead sounded during Late Train in Set 3. Who would have been behind the curtain at that moment?
Show the answer to the variation
Ray. In Set 3 the tunes run in the reverse of Set 2’s order, so the Set 2 order Nina, Ray, Gus, Lou, Vera becomes Vera, Lou, Gus, Ray, Nina. The fourth tune of Set 3, Late Train, goes to Ray. Checked by code from the solved Set 1 order.