Originally posted by petrovitch
While driving to work this morning I was listening to an AM radio station. The station number is a four digit integer. As I preset the station on one of seven buttons on my radio. Then I started thinking about the number ... if was divisible by seven if the second digit is removed. What is the number of the radio station?
Not enough information so will have to do some deduction.
1. I see you are in US so I will assume you mean frequency when you refer to station number? (We use wavelength for AM in Europe)
2. I will assume frequency range 535-1705 KHz (US )
3. I will assume 10KHz between stations (in Europe it is 9KHz)
Our number is therefore abcd
535 < abcd < 1705
acd = 7n
That still leaves 15 solutions, what have I missed?