One is the Magic Number

The Puzzler

RAY: This was sent in by Martin Cohen and he says, 'No offense guys but your puzzlers of late have been less than stellar. Not to worry. Help is on the way.'

Odometers on modern cars go from 0 to 999,999. There are no tenths; all the tenths are done by the trip odometer.

Imagine that someone managed to reach 999,999 miles. If you counted all the times that the digit 1 appeared, how many 1s would be counted? In doing this, count each time that 1 appears in a number.

So, for example, you would count 3 times for 1,101. Two times for 1,102. So how many times is the number 1 going to appear in going from 0 to 999,999?

Think you know? Drop Ray a note!

[ Car Talk Puzzler ]

Support for Car Talk is provided by:

Donate Your Car,
Support Your NPR Station

...and get a tax break!

Get Started

Find a Mechanic

Promo tile

Rocket Fuel