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The Same Numbers as the Stolen Bills (illustration)
FILE No.137Unsolved

The Same Numbers as the Stolen Bills

Difficulty ★☆☆about 5 minTheft CaseProbabilityNumbering
Three bills in the suspect's wallet match the list of stolen bill numbers.

Case Record

100 ten-thousand-yen bills (1 million yen) were stolen from a company safe. The stolen bills were new bills with consecutive serial numbers, and the numbers are in the bank's records.

The suspect said, "This is my salary," and showed new bills in his wallet. Of the 5 bills, the numbers of 3 appeared exactly as they are on the list of stolen bill numbers. The suspect's salary is transferred to his account from a different bank, and he withdrew it himself. Each bill has a different number, and no two bills have the same number.

Your question

What can be said for certain from this?

Case Files

Diagram

The stolen notes and the suspect's walletItemDetailStolen100 ten-thousand-yen notes (new, consecutive);numbers on bank recordSuspect's wallet5 new notes; 3 of the numbers are on the stolenlistSuspect says"It is my salary" (paid into an account at anotherbank, withdrawn by himself)Serial numbersEvery note differs; no two notes share a number
Diagram

Hints

If you get stuck, open the hints one at a time, in order.

Open hint 1

Does each bill have a different number?

Open hint 2

How many bills on the list match?

Open hint 3

Are "holding stolen bills" and "being the culprit" the same?

Solve It

Your question

What can be said for certain from this?

Choose the answer closest to the truth.

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The Truth

The 3 bills in the wallet are the stolen bills themselves

The answer is "The 3 bills in the wallet are the stolen bills themselves."

Each bill has a different number, so no two bills share a number. The 3 bills whose numbers are on the list are the stolen bills themselves. The explanation "it's my salary" does not hold, at least for these 3 bills.

Whether the suspect is the culprit cannot be known from this (it remains possible the stolen bills passed from person to person). "It just happened to be the same number" is impossible, and there is no reason to think the record is wrong.

What can and cannot be saidStatusStatementCertainThe 3 notes are the stolen notes themselvesNot certainThe suspect is the thief (the notes may have changedhands)ImpossibleA coincidence of numbers (no two notes share anumber)No basisThe bank record is wrong
Diagram of the solution

Key Points

  • Same number means same bill
  • Stay within what can be said
  • Do not conclude he is the culprit

Why people get fooled

Because you leap to "has the stolen bills, therefore the culprit."

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