### Brain Teasers

# Odometer Reading

A car's odometer shows 72927 miles, a palindromic number. What is the minimum number of miles you would need to travel to form another?

### Hint

A palindrome can be read both forwards and backwards, like "Kayak".### Answer

110 miles. (73037)Hide Hint Show Hint Hide Answer Show Answer

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## Comments

May I ask, what is a palindromic number?

A palindromic number is one which when read both ways is the same.

Example, 23432 is a palindromic number since whichever way you read it from front or back results in 23432, Neo.

Example, 23432 is a palindromic number since whichever way you read it from front or back results in 23432, Neo.

i thoguht you meant to form a whole new palindrome.. then i got 1 mile

No Julia, it's the total odometer reading that should form a palindrome not the distance travelled from the present reading.

how many pallindromes are there between 1 and 100000?

a lot

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