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The Plate Seen Upside Down (illustration)
FILE No.104Unsolved

The Plate Seen Upside Down

Difficulty ★☆☆about 5 minTheft CaseRotationDigits
A hit-and-run victim spun in the air once and saw the license plate upside down.

Case Record

There was a hit-and-run accident. The woman who was hit flew into the air, made one full rotation, and landed on the ground. She had seen the car's license plate. When people rushed to her, she said "6918..." and died.

At the moment in her spin when she was upside down, she saw the plate upside down. The digits she read as she saw them were "6918." (The digits 0, 1, 6, 8, and 9 can still be read as digits when turned upside down. 1, 0, and 8 look the same, and 6 and 9 swap.)

Your question

What is the car's real plate number?

Case Files

Diagram

Digits turned upside downDigit01869Seen upside down01896What the woman read as she saw it: 6918She saw it upside down, partway through her spin.
Diagram

Hints

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

Open hint 1

What happens to the order of the digits when you turn the plate upside down?

Open hint 2

What happens to 6 and 9?

Open hint 3

Reverse the order, then swap the digits.

Solve It

Your question

What is the car's real plate number?

Choose the answer closest to the truth.

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The Truth

8169

The answer is "8169."

Turning something upside down reverses the order of the digits and swaps 6 and 9. Reversing "6918" gives "8196," and swapping 6 and 9 gives "8169."

6918 is the number unchanged. 8196 only reverses the order without swapping 6 and 9. 9168 only swaps 6 and 9.

Turning it backAs she saw it69181) Reverse the orderReversed81962) Swap 6 and 9Real plate8169
Diagram of the solution

Key Points

  • Two steps: reverse the order, then change the digits
  • The swap of 6 and 9
  • Check the result by actually doing it

Why people get fooled

Because you reverse the order and forget about 6 and 9.

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