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The Vase from Kura Antiques and Four Appraisal Certificates (illustration)
FILE No.23Unsolved

The Vase from Kura Antiques and Four Appraisal Certificates

Difficulty ★★☆about 4 minTheft CasesAuthenticity of documentsChecking dates
Four appraisal certificates came with a stolen vase. All are dated February 29 and look genuine, yet one is a forgery.

Case Record

A vase stolen from the secondhand shop Kura Antiques turned up on the black market. An old appraisal certificate came with it. But there were four certificates, all dated February 29.

On all four, the seals and handwriting look genuine, and you cannot tell them apart by appearance. Even so, exactly one is forged.

Your question

Which certificate is the forgery? Look closely at the scene plan and the evidence.

Case Files

Four appraisal certificates

Four Appraisal CertificatesNo.AppraiserDate1MoritaFeb 29, 18922HaraguchiFeb 29, 18963KashiwagiFeb 29, 19004MiyashitaFeb 29, 1904All four have seals and handwriting that look genuine.
Four appraisal certificates

Timeline

  1. A vase is stolen from the secondhand shop Kura Antiques.
  2. A vase with four appraisal certificates is found on the black market.

Hints

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

Open hint 1

What kind of year has a February 29?

Open hint 2

Is every year divisible by 4 one of them? Watch out for multiples of 100.

Open hint 3

Check whether 1900 is divisible by 100, and whether it is divisible by 400.

Solve It

Your question

Which certificate is the forgery? Look closely at the scene plan and the evidence.

Choose the answer closest to the truth.

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The Truth

3. Certificate dated 1900 (Kashiwagi)

The answer is “3. the certificate dated 1900 (Kashiwagi).”

February 29 exists only in leap years. A leap year is a year divisible by 4. But a year divisible by 100 is not a leap year, except that a year divisible by 400 is.

1892, 1896 and 1904 are divisible by 4 but not by 100, so they are leap years. February 29 really existed in them, so certificates 1, 2 and 4 are not contradicted.

1900, however, is divisible by 4, but also by 100, and not by 400. It falls under the exception, so it was not a leap year, and February had only 28 days. There was no such day as February 29, 1900, so certificate 3 is the forgery.

The seals and handwriting looked genuine on all four. Appearance gave no basis for deciding. Checking whether the date itself exists was the key to spotting the forgery.

Days in February by yearYearBy 4By 100By 400February1892YesNo-29 days1896YesNo-29 days1900YesYesNo28 days1904YesNo-29 days1900 is an exception: there was no February 29.
Diagram of the solution

Key Points

  • Don’t judge by “every four years” alone
  • A multiple of 100 is a leap year only when it is also a multiple of 400
  • Even if it looks genuine, check that the date exists

Why people get fooled

Because 1900 is divisible by 4, it is easy to assume it was a leap year.

Similar tricks

  • The type that checks whether a date exists
  • The type that notices exceptions to a rule

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If you view the truth, this case will not count as solved on your own. Open it anyway?

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