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Driving along, Terry notices that the last four digits on the odometer are palindromic. A mile later, the last five digits are palindromic. A mile later, the middle four digits are palindromic. One mile after that, all six are palindromic. What was the odometer reading when Terry first looked at it?

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Answer:

The answer is 198888.

Explanation:

Palindromic numbers are those that can be read the same way left-to-right or right-to-left.

- When Terry first looked at the odometer, it read 198888 - the last four digits are palindromic.

- A mile later, the odometer read 198889 - the last five digits are palindromic.

- A mile later, the odometer read 198890 - the middle four digits are palindromic.

- A mile later, the odometer read 198891 - all six digits are palindromic.

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