The scene
Puzzle club · Meeting roomA winning token disappears from the ballot box. The person responsible left six statements; the attendant verified that exactly three are true.
The final statements refer to earlier ones. Evaluate all six for each possible culprit, keeping that hypothesis fixed.
What we know for certain
Exactly one of Alba, Berto and Cora removed the token. The six statements on the card, and only those statements, satisfy the condition of three true and three false. The suspects’ personal statements are not included in the count. There are no other possible culprits.
The three accounts
Alba Ríos
Club member«The card is not a signed confession.»
Berto Sol
Club member«Some statements refer to others; you need to read them in full.»
Cora Vidal
Club member«I am among the possibilities, but I deny taking the token.»
Examine the evidence
0 of 5 openedOpening these five clues does not cost points.
01Statements one and two
1: “It was Alba or Berto.” 2: “It was Berto or Cora.” In each statement, “or” means either of the two named people.
02Statements three and four
3: “It was Alba.” 4: “It was Cora.” Each statement refers to the one person responsible.
03Statement five
5: “Statements 1 and 3 have the same truth value: both true or both false.”
04Statement six
6: “Statements 2 and 4 are both true.” This is true only if both hold at once.
05The verified condition
The attendant confirmed that attributing the removal to the correct person makes exactly three of the six statements true.